Lesson plan

Model real-world problems by choosing a scenario-appropriate power 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 power functions. This task focuses on a company’s desire to create a cylindrical container for their new product. They also want to design a box, in the shape of a cube, to hold the cylindrical container and want it to fit inside as snugly as possible. To determine the volume and lateral areas for this cylinder and the surface area of the box that contains it, students will realize that power functions are needed. This builds towards their understanding of how power functions are used later in Algebra 2 and in Advanced Placement and college-level courses. Vocabulary: power function, volume, radius, diameter, model Special Materials: Scientific calculator or access to www.Desmos.com.