Lesson plan

Model real-world problems by choosing a scenario-appropriate rational 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 rational functions. This task focuses on two pipes that pump water into a swimming pool. In this task students are presented with two pipes pumping water at different rates along with the total time that it takes both pipes to fill the pool. By considering all of the parameters of this task, students will realize that a seemingly simple task requires rational function modeling. This builds towards their work with rational functions in Advanced Placement and college-level courses. Vocabulary: rational function, model Special Materials: Graphing calculator or access to www.Desmos.com to use their graphing calculator feature.