{"id":4338,"date":"2023-01-04T15:34:33","date_gmt":"2023-01-04T23:34:33","guid":{"rendered":"https:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=4338"},"modified":"2023-01-10T10:25:56","modified_gmt":"2023-01-10T18:25:56","slug":"exponentials-lesson-6","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/exponential-functions-unit\/exponentials-lesson-6\/","title":{"rendered":"Exponentials Lesson 6"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">Finding the Height at Any Time between Day 0 and Day 1<\/h3>\n\n\n\n<p>The students continue to explore the height of their beanstalk at fractional times of day. In this lesson, they discover how to find the height of the beanstalk at any time between Day 0 and Day 1.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/exponential-functions-unit\/exponentials-lesson-6\/exponentials-lesson-6-episode-1\/\">Episode 1: Making Sense<\/a><\/strong><\/h5>\n\n\n\n<p>The students create a timeline that shows how the beanstalk is growing over four one-quarter day time periods.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/exponential-functions-unit\/exponentials-lesson-6\/exponentials-lesson-6-episode-2\/\">Episode 2: Exploring<\/a><\/strong><\/h5>\n\n\n\n<p>Josh and Arobindo use their timeline to find the height of the beanstalk on Day \u00be.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/exponential-functions-unit\/exponentials-lesson-6\/exponentials-lesson-6-episode-3\/\">Episode 3: Repeating Your Reasoning<\/a><\/strong><\/h5>\n\n\n\n<p>The students use their timeline to find the height of the beanstalk on Day&nbsp;\u215a.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/exponential-functions-unit\/exponentials-lesson-6\/exponentials-lesson-6-episode-4\/\">Episode 4: Repeating Your Reasoning<\/a><\/strong><\/h5>\n\n\n\n<p>Arobindo and Josh find the time when&nbsp;the beanstalk reaches a height of about 1.2457<sup>3<\/sup>&nbsp;cm.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/exponential-functions-unit\/exponentials-lesson-6\/exponentials-lesson-6-episode-5\/\">Episode 5: Reflecting<\/a><\/strong><\/h5>\n\n\n\n<p>The students reflect on the values they can plug into the equation they created that gives the height of the beanstalk on Day <em>x<\/em>, <em>y<\/em>=1(3<sup><em>x<\/em><\/sup>).<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><strong><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/exponential-functions-unit\/exponentials-lesson-6\/exponentials-lesson-6-episode-6\/\">Episode 6: Reflecting<\/a><\/strong><\/h5>\n\n\n\n<p>Josh and Arobindo reflect the possible values for y in the equation they created that gives the height of the beanstalk on Day <em>x<\/em>, <em>y<\/em>=1(3<sup><em>x<\/em><\/sup>).<\/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\/exponential-functions-unit\/\" style=\"background-color:#2d4059\">Exponentials<\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Finding the Height at Any Time between Day 0 and Day 1 The students continue to explore the height of their beanstalk at fractional times of day. In this lesson, they discover how to find the height of the beanstalk at any time between Day 0 and Day 1. Episode 1: Making Sense The students [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":139,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-4338","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/4338","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=4338"}],"version-history":[{"count":10,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/4338\/revisions"}],"predecessor-version":[{"id":4614,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/4338\/revisions\/4614"}],"up":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/139"}],"wp:attachment":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/media?parent=4338"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}