Take an alternative route with trigonometry and let learners connect a tweaked version of the pythagorean theorem to the original in terms of triangle sides. The assignment leads participants towards deriving the Pythagorean identity based on the relationship of the previous question. 

Concepts

trigonometric ratios, trigonometric functions, pythagorean theorem, trigonometric identities, trigonometry applications

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Additional Tags

math

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Instructional Ideas

• Works well as an individual or small group problem

Classroom Considerations

• Learners should be familiar with the Pythagorean trigonometric identity

Pros

• Encourages different ways of thinking
• The solution provides worked-out answers and commentary 

Cons

• None

Common Core

HSF-TF.C.8