{"id":18,"date":"2020-03-26T23:22:40","date_gmt":"2020-03-26T23:22:40","guid":{"rendered":"http:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=18"},"modified":"2020-05-21T14:54:30","modified_gmt":"2020-05-21T21:54:30","slug":"lesson-2","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/parabolas-unit\/lesson-2\/","title":{"rendered":"Parabolas Lesson 2"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">Connecting Geometry with Algebra<\/h3>\n\n\n\n<p class=\"has-normal-font-size\">Keoni and Sasha work with a parabola on the coordinate grid. They use the properties of the grid and the Pythagorean theorem to determine if the coordinates of a point are on a given parabola. They apply these methods to find the missing x-value of a point on the parabola for a given y-value.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/lesson-2-episode-1\/\">Episode 1: Making Sense<\/a><\/h5>\n\n\n\n<p class=\"has-normal-font-size\">Keoni  notices that the grid allows them to measure the distance between some  points and lines.&nbsp; Sasha and Keoni use the grid and the definition of a  parabola to validate that three points are on the parabola.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/lesson-2-episode-2\/\">Episode 2: Exploring<\/a><\/h5>\n\n\n\n<p class=\"has-normal-font-size\">Sasha and Keoni use the Pythagorean theorem to justify why (4,4) is a point on the parabola.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/lesson-2-episode-3\/\">Episode 3: Exploring<\/a><\/h5>\n\n\n\n<p class=\"has-normal-font-size\">Sasha  and Keoni justify how their three methods for finding points on a  parabola satisfy the criteria in the definition of a parabola.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/lesson-2-episode-4\/\">Episode 4: Repeating Your Reasoning<\/a><\/h5>\n\n\n\n<p class=\"has-normal-font-size\">Keoni  and Sasha extend their use of the Pythagorean theorem. They determine  the x-value for a point on the parabola that has a y-value of 5.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/lesson-2-episode-5\/\">Episode 5: Repeating Your Reasoning<\/a><\/h5>\n\n\n\n<p class=\"has-normal-font-size\">Sasha and Keoni find the x-value of a point on the parabola with a y-value of 10.<\/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\/parabolas-unit\/\" style=\"background-color:#2d4059\">Parabolas<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Connecting Geometry with Algebra Keoni and Sasha work with a parabola on the coordinate grid. They use the properties of the grid and the Pythagorean theorem to determine if the coordinates of a point are on a given parabola. They apply these methods to find the missing x-value of a point on the parabola for [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":61,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-18","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/18","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\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/comments?post=18"}],"version-history":[{"count":8,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/18\/revisions"}],"predecessor-version":[{"id":213,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/18\/revisions\/213"}],"up":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/61"}],"wp:attachment":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/media?parent=18"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}