Lesson plan

Solve problems involving continuous exponential growth by examining real-world modeling contexts

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: Exponential functions grow by a constant percent rate per unit interval. Exponential functions change multiplicatively and not additively. An exponential function that grows continuously can be modeled with the function A(t)= Pe^rt, where A is the amount for a given amount of time, P is the principal value A(0), r gives the constant percent rate, and t is the time (in years). In previous tasks, students explored continuously compounding interest and its relationship to the natural base e. In this task, students apply this understanding and use the model for continuous exponential growth, A=pe^rt, to model a real world quantitative relationship. Vocabulary: e, growth, decay, compound interest, interest rate, principle