Lesson plan

Determine if more than one function can fit an exponential curve by examining equivalent functions

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teaches Common Core State Standards HSF-IF.C.8.b http://corestandards.org/Math/Content/HSF/IF/C/8/b
teaches Common Core State Standards HSF-IF.C.9 http://corestandards.org/Math/Content/HSF/IF/C/9
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Big Ideas: Exponential relationships can have more than one function rule. Each function rule will show that the exponential relationship has the same initial value and the constant multiplier. Such functions are said to be equivalent functions. This lesson builds on students' skill with creating exponential models for exponential relationships between two quantities. In this task students will compare and analyze two functions said to model the same exponential graph. They will look for the key features of each function and show conclusively whether or not the functions are equivalent. This lesson builds towards students' future work with modeling data sets. Vocabulary: exponential functions, logarithms, equivalent functions Special Materials: Scientific calculator Graphing calculator (optional)