Lesson plan

Model simple periodic phenomena in the real world using trigonometric functions by creating equations which best fit known data

teaches Common Core State Standards CCSS.Math.Content.HSF-BF.B.3 http://corestandards.org/Math/Content/HSF/BF/B/3
teaches Common Core State Standards CCSS.Math.Content.HSF-IF.C.7e http://corestandards.org/Math/Content/HSF/IF/C/7/e
teaches Common Core State Standards CCSS.Math.Content.HSF-TF.B.5 http://corestandards.org/Math/Content/HSF/TF/B/5
teaches Common Core State Standards CCSS.Math.Content.HSN-Q.A.2 http://corestandards.org/Math/Content/HSN/Q/A/2
teaches Common Core State Standards CCSS.Math.Practice.MP3 http://corestandards.org/Math/Practice/MP3
teaches Common Core State Standards CCSS.Math.Practice.MP4 http://corestandards.org/Math/Practice/MP4

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Big Ideas: Real world phenomena can be modeled analytically through trigonometric functions. Students will be asked to create a model that gives their height above the ground as they ride a Ferris wheel. This is done by analyzing given data about the Ferris wheel, plotting a few known points on the graph of the model, and finally creating the equation of the function. Students will come away with the idea that sinusoidal functions can be used to model circular motion and other naturally occurring real world phenomena. This lesson should come after students have a firm grasp on transformations of sinusoidal functions. Vocabulary: sinusoidal function, midline, amplitude, period Special Materials: No special materials are needed for this lesson. Students may benefit from having access to graphing technology.