Lesson Plan

Understand the difference between exponential and linear functions by examining consecutive unit rates

teaches Common Core State Standards CCSS.Math.Content.HSF-IF.B.6 http://corestandards.org/Math/Content/HSF/IF/B/6
teaches Common Core State Standards CCSS.Math.Content.HSF-LE.A.1c http://corestandards.org/Math/Content/HSF/LE/A/1/c

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Big Ideas: The unit rate of a linear function is always constant. Unit rates calculated between consecutive intervals of equal length in an exponential function change by a constant factor. This lesson plan uses the same job pay scenario that was used in lessons 1-3. Students are asked to make a table of values and a graph for the two job pay options, and then find their unit rates. Students will notice that the linear function has a constant unit rate of $50, where the exponential function has unit rates in consecutive intervals of equal length that are changing by an equal factor. Vocabulary: exponential function, linear function, unit rate of change
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