Lesson plan

Model real-world problems by choosing a scenario-appropriate trigonometric 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 trigonometric functions. This task focuses on the simple harmonic motion of a spring hanging vertically with a weight on the end that is stretched and released. By considering all of the parameters of this task, students will realize that a seemingly simple task requires trigonometric modeling. This builds towards their understanding of how trigonometric functions can be used in regression modeling of real-world bivariate data which comes up later in Algebra 2 and in Advanced Placement and college-level courses. Vocabulary: Trigonometry, Simple Harmonic Motion, Sine, Cosine, Model, Oscillation, Amplitude, Period, Phase Shift Special Materials: Graphing calculator or access to www.Desmos.com.