{"id":100,"date":"2020-04-07T14:27:04","date_gmt":"2020-04-07T21:27:04","guid":{"rendered":"http:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=100"},"modified":"2020-05-21T14:55:18","modified_gmt":"2020-05-21T21:55:18","slug":"parabolas-lesson-3","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/parabolas-unit\/parabolas-lesson-3\/","title":{"rendered":"Parabolas Lesson 3"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">Developing an Equation for a Parabola for Any Given y-Value<\/h3>\n\n\n\n<p>Keoni and Sasha create a general method for representing the x-value for any point on a particular parabola, given the y-value of that point. By using their previous results, along with the Pythagorean theorem, they are able to determine the equation for the parabola.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/parabolas-lesson-3-episode-1\/\">Episode 1: Making Sense<\/a><\/h5>\n\n\n\n<p>Sasha and Keoni grapple with how to represent a general point on the parabola and how to express different distances involving that point.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/parabolas-lesson-3-episode-2\/\">Episode 2: Exploring<\/a><\/h5>\n\n\n\n<p>Keoni and Sasha develop an equation that relates the x-value to the y-value for a general point on a particular parabola.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/parabolas-lesson-3-episode-3\/\">Episode 3: Reflecting<\/a><\/h5>\n\n\n\n<p>Keoni and Sasha reflect on the meaning of their equation.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/parabolas-lesson-3-episode-4\/\">Episode 4: Repeating Your Reasoning<\/a><\/h5>\n\n\n\n<p>Keoni and Sasha determine the x-value of a point on the parabola with a y-value of 3.5.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/parabolas-lesson-3-episode-5\/\">Episode 5: Reflecting<\/a><\/h5>\n\n\n\n<p>Sasha and Keoni share ideas about the usefulness of the equation<br>x = \u221a(4y), which they derived in Episode 2.<\/p>\n\n\n\n<p><\/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>Developing an Equation for a Parabola for Any Given y-Value Keoni and Sasha create a general method for representing the x-value for any point on a particular parabola, given the y-value of that point. By using their previous results, along with the Pythagorean theorem, they are able to determine the equation for the parabola. Episode [&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-100","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/100","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=100"}],"version-history":[{"count":4,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/100\/revisions"}],"predecessor-version":[{"id":254,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/100\/revisions\/254"}],"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=100"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}