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Lesson Plan

Graph transformations of logarithmic functions by understanding their relationship to exponential functions

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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.7e http://corestandards.org/Math/Content/HSF/IF/C/7/e

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Big Ideas: A logarithmic function is the inverse of an exponential function. The graph of a logarithm is the reflection of the graph of an exponential function over the line y=x, and horizontal shifts in one become vertical shifts in the other. In this task students will graph translated exponential and logarithmic functions and make hypotheses about how translations of exponential functions relate to translations of logarithmic function. This task draws on the idea that a logarithm and an exponential function are inverses, and that the graph of a logarithmic function can be constructed from the graph of an exponential function, which was developed in prior tasks. Vocabulary: logarithm, exponential function, reflection Special Materials: Graph paper
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