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Lesson Plan

Identify the constant percent rate of change in exponential growth and decay models

teaches Common Core State Standards CCSS.Math.Content.HSF-BF.A.1 http://corestandards.org/Math/Content/HSF/BF/A/1
teaches Common Core State Standards CCSS.Math.Content.HSF-IF.C.8b http://corestandards.org/Math/Content/HSF/IF/C/8/b
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Big Ideas: The exponential model f(x)=ab^x can be equivalently expressed f(x)= a(1+r)^x, where r is the constant percent rate of change. If r is positive, then f(x) is growing exponentially. If r is negative, then f(x) is decaying exponentially. Students will use what they have learned about exponential growth and decay from the previous paper folding tasks to recognize that the exponential model f(x)=ab^x can be equivalently expressed as f(x)= a(1+r)^x, and that this structure reveals the constant percent rate of change. Vocabulary: percent, percent change, rate of change, growth factor, decay factor Special Materials: None
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