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Lesson Plan

Model real-world problems by choosing a scenario-appropriate cubic 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 cubic functions. This task focuses on the maximization of the volume of a box that is created by cutting squares out of the corners of a rectangular piece of cardboard and folding up the edges. 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: cubic, polynomial, model, volume, maximize Special Materials: Graphing calculator or access to to use their graphing calculator feature.
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