{"id":4796,"date":"2023-07-14T10:40:23","date_gmt":"2023-07-14T17:40:23","guid":{"rendered":"https:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=4796"},"modified":"2023-08-10T15:22:21","modified_gmt":"2023-08-10T22:22:21","slug":"logarithms-lesson-1","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/logarithms-unit\/logarithms-lesson-1\/","title":{"rendered":"Logarithms Lesson 1"},"content":{"rendered":"\n

Justifying the Product 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 any two consecutive time periods.\u00a0\u00a0In 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 create two equivalent expressions that both represent the height of the beanstalk 5 days after Day 2, and create a number line to represent these expressions\u00a0<\/p>\n\n\n\n

Episode 2: Making Sense<\/a><\/strong><\/h5>\n\n\n\n

Arobindo and Josh create two equivalent expressions that both represent the height of the beanstalk 18 days after Day 2, and create a number line to represent these expressions.<\/p>\n\n\n\n

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

The students create an expression that represents the height of the beanstalk any number of days after Day 2, and create a number line to represent this expression.<\/p>\n\n\n\n

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

The students create an expression that represents the height of the beanstalk 5 days after an unknown start date, and create a number line to represent this expression.<\/p>\n\n\n\n

Episode 5: Reflecting\u00a0<\/a><\/strong><\/h5>\n\n\n\n

Josh and Arobindo determine whether or not two exponential expressions are equivalent.<\/p>\n\n\n\n

Episode 6: Reflecting<\/a><\/strong><\/h5>\n\n\n\n

Arobindo and Josh interpret several exponential expressions using a number line.<\/p>\n\n\n\n

Episode 7: Reflecting<\/a><\/strong><\/h5>\n\n\n\n

The students create two equivalent exponential expressions that both represent the height of the beanstalk any number of days after an unknown start date. They justify these expressions using a number line.<\/p>\n\n\n\n

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Justifying the Product Rule for Exponential Expressions Josh and Arobindo write two equivalent exponential expressions that represent the growth of a magical beanstalk over any two consecutive time periods.\u00a0\u00a0In doing so, they justify a rule for rewriting exponential expressions of a certain form. Episode 1: Making Sense The students create two equivalent expressions that both […]<\/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-4796","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/4796","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=4796"}],"version-history":[{"count":9,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/4796\/revisions"}],"predecessor-version":[{"id":4983,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/4796\/revisions\/4983"}],"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=4796"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}