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Lesson Plan

Transform graphs of linear and exponential functions by altering the rate of change

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-LE.A.1 http://corestandards.org/Math/Content/HSF/LE/A/1
teaches Common Core State Standards CCSS.Math.Content.HSF-LE.B.5 http://corestandards.org/Math/Content/HSF/LE/B/5
teaches Common Core State Standards CCSS.Math.Content.HSF-LE.A.1b http://corestandards.org/Math/Content/HSF/LE/A/1/b
teaches Common Core State Standards CCSS.Math.Content.HSF-LE.A.1c http://corestandards.org/Math/Content/HSF/LE/A/1/c
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Big Ideas: In a linear function, increasing the rate of change increases the magnitude of the slope. In an exponential function, increasing the rate of change increases the growth factor. The features of a graph can be interpreted in the context of the situation that is being modeled. Students will extend their knowledge of linear and exponential graphs to understand how modifying the rate of change alters the graph. Students consider two different modeling contexts that involve folding and stacking paper, and the graphical transformations that arise from changes in the situations that are being modeled. Vocabulary: transformation shift linear exponential Special Materials: graph paper
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