{"id":4800,"date":"2023-07-14T10:47:36","date_gmt":"2023-07-14T17:47:36","guid":{"rendered":"https:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=4800"},"modified":"2023-08-10T15:37:04","modified_gmt":"2023-08-10T22:37:04","slug":"logarithms-lesson-2","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/logarithms-unit\/logarithms-lesson-2\/","title":{"rendered":"Logarithms Lesson 2"},"content":{"rendered":"\n

Justifying the Power Rule for Exponential Expressions<\/strong><\/strong><\/h3>\n\n\n\n

Josh and Arobindo write two equivalent exponential expressions that represent the growth of a magical beanstalk over several consecutive time periods of an undetermined length. In doing so, they justify a rule for rewriting exponential expressions of a certain form.<\/p>\n\n\n\n

Episode 1: Making Sense<\/a><\/strong><\/h5>\n\n\n\n

The students explore the growth of the beanstalk between Day 2 and Day 12. They mark in several mathematical relationships on a number line that represents this growth and write several exponential expressions.\u00a0<\/p>\n\n\n\n

Episode 2: Exploring<\/a><\/strong><\/h5>\n\n\n\n

Josh and Arobindo explore the growth of the beanstalk between Day 5 and Day 19. They write two equivalent expressions to represent this growth and use a number line to justify their expressions.<\/p>\n\n\n\n

Episode 3: Repeating Your Reasoning<\/a><\/strong><\/h5>\n\n\n\n

The students represent the growth of the beanstalk over 101 2-day periods on a number line. They use their number line to justify two equivalent expressions that describe the growth over that period.<\/p>\n\n\n\n

Episode 4: Repeating Your Reasoning<\/a><\/strong><\/h5>\n\n\n\n

The students use a number line to explore the growth of the beanstalk over an unknown number of 1.5-day periods of time. They develop two equivalent exponential expressions to represent this growth.<\/p>\n\n\n\n

Episode 5: Reflecting <\/a><\/strong><\/h5>\n\n\n\n

Josh and Arobindo write a general equation that describes the equivalence of two exponential expressions.<\/p>\n\n\n\n

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Justifying the Power Rule for Exponential Expressions Josh and Arobindo write two equivalent exponential expressions that represent the growth of a magical beanstalk over several consecutive time periods of an undetermined length. In doing so, they justify a rule for rewriting exponential expressions of a certain form. Episode 1: Making Sense The students explore the […]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":141,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-4800","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/4800","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=4800"}],"version-history":[{"count":8,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/4800\/revisions"}],"predecessor-version":[{"id":4985,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/4800\/revisions\/4985"}],"up":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/141"}],"wp:attachment":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/media?parent=4800"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}