Stretch out the curve to expand mathematical knowledge. Pupils learn the definition of period and find out how to determine it both from the graph and the equation of the function. Learners use the new skill in graphing periodic functions or writing the equation for graphed sine or cosine functions.

Concepts

amplitude, periods, graphing trigonometric functions, trigonometric, trigonometric functions

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Instructional Ideas

• Make the connection of period changes to horizontal stretches

Classroom Considerations

• Assumes the class knows how to find the amplitude and midline of trigonometric functions
• Second lesson in a four-segment unit on trigonometric functions

• This video is hosted on YouTube

Pros

• Provides space to organize notes for the video within the worksheet
• Contains an extra worksheet for additional practice

Cons

• None

Common Core

HSF-IF.C.7.e HSF-TF.A.2 HSF-TF.B.5