Lesson plan

Model real-world problems by choosing a scenario-appropriate exponential function

teaches Common Core State Standards CCSS.Math.Content.HSN-Q.A.2 http://corestandards.org/Math/Content/HSN/Q/A/2

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Big Ideas Problems that exist within the real-world, including seemingly random bivariate data, can be modeled by various algebraic functions. This lesson builds on students’ prior work with exponential functions. This task focuses on a deal that your cell phone provider is offering by taking a percentage off of your total bill every time someone mentions your name as a referral to their service. By considering all of the parameters of this task, students will realize that a seemingly simple task requires exponential modeling. This builds towards their understanding of how exponential functions can be used in regression modeling of real-world bivariate data later in Algebra 2 and in Advanced Placement and college-level courses. Vocabulary: Exponential, Decay, Logarithm, Model Special Materials: Graphing Calculator or access to www.Desmos.com.