{"id":4330,"date":"2023-01-04T15:23:52","date_gmt":"2023-01-04T23:23:52","guid":{"rendered":"https:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=4330"},"modified":"2023-01-09T13:15:44","modified_gmt":"2023-01-09T21:15:44","slug":"exponentials-lesson-4","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/exponential-functions-unit\/exponentials-lesson-4\/","title":{"rendered":"Exponentials Lesson 4"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\"><strong>Exploring the Equation<\/strong>s for Other Magical Beanstalks<\/h3>\n\n\n\n<p>The students explore the growth of new magical beanstalks. While all the beanstalks are similar in that they grow by a consistent factor each day, the factors they grow by are different and their heights on Day 0 are not always 1 cm. Josh and Arobindo explore how these changes affect the equations that model their growth.&nbsp;&nbsp;<\/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-4\/exponentials-lesson-4-episode-1\/\">Episode 1: Making Sense<\/a><\/strong><\/h5>\n\n\n\n<p>The students use the timeline they made in the last lesson to determine the height of the beanstalk on Day 12.<\/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-4\/exponentials-lesson-4-episode-2\/\">Episode 2: Exploring<\/a><\/strong><\/h5>\n\n\n\n<p>Arobindo and Josh create a&nbsp;timeline for a new magical beanstalk. This beanstalk\u2019s height also increases by a factor of 3 each day, but it starts with a height of 2 cm on Day 0 instead of 1 cm. The students use their timeline to create an expression that represents the height of this new beanstalk on Day 12.<\/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-4\/exponentials-lesson-4-episode-3\/\">Episode 3: Repeating Your Reasoning<\/a>&nbsp;<\/strong><\/h5>\n\n\n\n<p>Josh and Arobindo&nbsp;use their new timeline to create an expression that represents the height of the new beanstalk on Day 100.<\/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-4\/exponentials-lesson-4-episode-4\/\">Episode 4: Repeating Your Reasoning<\/a><\/strong><\/h5>\n\n\n\n<p>The students use their timeline to create an equation that gives the height of the new beanstalk on any day.&nbsp;&nbsp;<\/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-4\/exponentials-lesson-4-episode-5\/\">Episode 5: Reflecting<\/a><\/strong><\/h5>\n\n\n\n<p>Josh and Arobindo are given an equation that models the growth of a magical beanstalk. They explain how the beanstalk is growing.<\/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-4\/exponentials-lesson-4-episode-6\/\">Episode 6: Reflecting<\/a><\/strong><\/h5>\n\n\n\n<p>Arobindo and Josh are given equations that model the growth of magical beanstalks. They use these equations to compare and contrast how the beanstalks are growing.<\/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>Exploring the Equations for Other Magical Beanstalks The students explore the growth of new magical beanstalks. While all the beanstalks are similar in that they grow by a consistent factor each day, the factors they grow by are different and their heights on Day 0 are not always 1 cm. Josh and Arobindo explore how [&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-4330","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/4330","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=4330"}],"version-history":[{"count":10,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/4330\/revisions"}],"predecessor-version":[{"id":4526,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/4330\/revisions\/4526"}],"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=4330"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}