{"id":752,"date":"2020-05-27T13:56:34","date_gmt":"2020-05-27T20:56:34","guid":{"rendered":"https:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=752"},"modified":"2020-05-27T16:47:33","modified_gmt":"2020-05-27T23:47:33","slug":"proportions-lesson-3","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/proportional-reasoning-unit\/proportions-lesson-3\/","title":{"rendered":"Proportions Lesson 3"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">Creating Diagrams to Represent Ratios<\/h3>\n\n\n\n<p>Kate and Christopher create a diagram to explain why the distance and times values for two cars make them go the same speed. In the process, they form a ratio by joining the distance and time values for one car into a unit or \u201clittle trip,\u201d which can be repeated (iterated) or split apart (partitioned) to solve proportional reasoning problems.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/proportional-reasoning-unit\/proportions-lesson-3\/proportions-lesson-3-episode-1\/\">Episode 1: Making Sense<\/a><\/h5>\n\n\n\n<p>Kate and Christopher notice two patterns in the distance and time values for cars that are going the same speed.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/proportional-reasoning-unit\/proportions-lesson-3\/proportions-lesson-3-episode-2\/\">Episode 2: Making Sense<\/a><\/h5>\n\n\n\n<p>The students continue to suggest and test patterns. They are&nbsp; surprised that some patterns do not work.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/proportional-reasoning-unit\/proportions-lesson-3\/proportions-lesson-3-episode-3\/\">Episode 3: Exploring<\/a><\/h5>\n\n\n\n<p>Christopher and Kate create a diagram to explain why a car traveling 20 miles in 8 minutes goes the same speed as a car traveling 10 miles in 4 minutes.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/proportional-reasoning-unit\/proportions-lesson-3\/proportions-lesson-3-episode-4\/\">Episode 4: Repeating Your Reasoning<\/a><\/h5>\n\n\n\n<p>Kate and Christopher draw a diagram to show why traveling 15 miles in 6 minutes is the same speed as going 10 miles in 4 minutes.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/\" style=\"background-color:#2d4059\">Home<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/\" style=\"background-color:#2d4059\">Units<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/proportional-reasoning-unit\/\" style=\"background-color:#2d4059\">Proportions<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Creating Diagrams to Represent Ratios Kate and Christopher create a diagram to explain why the distance and times values for two cars make them go the same speed. In the process, they form a ratio by joining the distance and time values for one car into a unit or \u201clittle trip,\u201d which can be repeated [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":135,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-752","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/752","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/comments?post=752"}],"version-history":[{"count":4,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/752\/revisions"}],"predecessor-version":[{"id":842,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/752\/revisions\/842"}],"up":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/135"}],"wp:attachment":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/media?parent=752"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}