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Lesson Plan

Construct the graph of a logarithmic function by recognizing its relationship to an exponential function

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: The graph of a logarithm f(x)=log_a(x) can be constructed from the graph of the exponential g(x)=a^x by using a reflection over the line y=x, because f(x) is the inverse of g(x). In this task, students draw upon their previous experience with functions and inverses, and in particular on Task 3, where students develop the idea that the graph of a function and its inverse are reflections over the line y=x. Students apply this general concept to the graphs of logarithmic and exponential functions and then to create graphs for logarithmic functions. Vocabulary: inverse, exponential function, logarithm, line of reflection Special Materials: Graph paper
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