Lesson Plan

Recognize key features and behaviors of an exponential graph by comparing the graph to its explicit formula

teaches Common Core State Standards CCSS.Math.Content.HSF-IF.B.4 http://corestandards.org/Math/Content/HSF/IF/B/4
teaches Common Core State Standards CCSS.Math.Content.HSF-IF.C.7 http://corestandards.org/Math/Content/HSF/IF/C/7
teaches Common Core State Standards CCSS.Math.Content.HSF-IF.C.7e http://corestandards.org/Math/Content/HSF/IF/C/7/e

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Big Idea: Key features of the graph of y = ab^x are determined by the values of a and b. This lesson builds on students' prior work with developing an explicit formula for an exponential relationship. The task presents students with four exponential graphs and the corresponding equations, but some equations have parts blotted out. Through the information that is provided, students reason why and how "a" and "b" in the generalized exponential function y = ab^x are connected to the graph, affecting its key features. The mathematical concepts in this lesson build toward students' future work in writing the explicit formula for an exponential given its graph. Vocabulary: exponential function, explicit formula, y-intercept, domain, range, end behavior, asymptote Special Materials: Calculator (optional)
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