Lesson plan

Distinguish between situations that can be modeled with linear functions and exponential functions by comparing intervals between outputs

teaches Common Core State Standards CCSS.Math.Content.HSF-LE.A.1 http://corestandards.org/Math/Content/HSF/LE/A/1
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4
teaches Common Core State Standards CCSS.Math.Practice.MP8 http://corestandards.org/Math/Practice/MP8

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Big Ideas: A linear function links equal differences over equal intervals. An exponential function links equal factors over equal intervals. This lesson builds on a student's ability to recognize linear and exponential functions. This task uses an example of a student choosing between two investment opportunities. The student is presented with two situations, one being an exponential function and the second a linear function. The student must decide which opportunity is the better investment. This builds towards students being able to read a situation and be able to construct a function to model the situation. Vocabulary: Linear Function, Exponential Function