Going on up—and up and up! An open-ended task asks learners to model the movement of an amusement ride with parametric equations. They then analyze their equations to determine how the shadow of the ride's car moves as it rises at a constant rate. 

Concepts

parametric equations, inverse functions, derivatives

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Additional Tags

math

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Instructional Ideas

• Have pupils graph the parametric equations with a graphing calculator to compare the image to the one given

Classroom Considerations

• Expects a solid understanding of writing and graphing parametric equations
• Requires experience with calculating derivatives of inverse functions

Pros

• Offers the resource in an editable format
• Includes a detailed answer key with explanations

Cons

• None