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Lesson Plan

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

teaches Common Core State Standards CCSS.Math.Content.HSN-Q.A.2
teaches Common Core State Standards 111.27.4.D
teaches Common Core State Standards MAFS.912.N-Q.1.2
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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 quadratic functions. This task focuses on a childhood lemonade stand where children set up a lemonade stand on the side of the road and attempt to sell lemonade to people as they walk by. By considering all of the parameters of this task, students will realize that a seemingly simple task requires quadratic modeling. This builds towards their understanding of how polynomials can be used in regression modeling of real-world bivariate data later in Algebra 2 and in Advanced Placement and college-level courses. Vocabulary: income, quadratic, polynomial, model Special Materials: Graphing calculator or access to to use their graphing calculator feature.
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