Lesson plan

Discover the number e by investigating the limit of an infinite sequence

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.8b http://corestandards.org/Math/Content/HSF/IF/C/8/b

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Big Ideas: If growth compounds continuously, the growth factor is given by the number e. The number e can be understood as the limit of the sequence given by (1+1/n)^n. Students discover e as the growth factor in continuously compounding exponential models by exploring a sequence with terms given by (1+1/n)^n. As n gets increasingly larger, the value of (1+1/n)^n approaches e. Vocabulary: function, compound interest, rate of growth Special Materials: Calculator