Going up and down makes a more exciting ride. Pupils recall what they know about continuity and limits of functions. Working in groups, classmates design a skateboard ramp that meets a given set of criteria, using at least three different function types. They create a cross-sectional view of their plans and write the equations that define the piece-wise function modeling their ramp. Afterwards, each group presents their design to the rest of the class.

Concepts

skateboarding, piecewise functions, limits, continuous function, graphing functions, intervals

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Additional Tags

math

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Instructional Ideas

• Overlay a picture of a skateboard ramp with a grid and have individuals create equations for the ramp
• Require teams to create the equations before graphing either by hand or with technology

Classroom Considerations

• The class should be comfortable working with piece-wise functions that use a variety of function types

Pros

• Contains two pre-task activities to review knowledge of functions
• Includes a benchmark example of the completed task

Cons

• None

Common Core

MP1 MP4 HSA-CED.A.2 HSF-IF.C.7.b