Lesson plan

Write explicit and recursive function rules by examining the relationships in folded and stacked paper

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-BF.A.1b http://corestandards.org/Math/Content/HSF/BF/A/1/b
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.A.1a http://corestandards.org/Math/Content/HSF/LE/A/1/a

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In this lesson, students explore how linear growth is different from exponential growth. Students will use data on paper folding and stacking previously collected to develop recursive and explicit rules for how the thickness of the paper is changing. Students will make new connections between linear and exponential situations, and will learn that linear growth is additive and exponential growth is multiplicative. Vocabulary: common difference, common growth factor, rate of change, increasing, recursive rule, explicit rule Special Materials: Data on paper folding and paper stacking from Task 1(if students do not have data, see sample data below in the task launch section)