Construct tangent lines and make the connection to tangent functions. An informative lesson reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a circle from a given point in the fifth part in a unit of 16.

Concepts

tangent lines, tangent, circles, trigonometric ratios, trigonometric functions, constructions, geometric constructions

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Additional Tags

math

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Instructional Ideas

• Let individuals use geometry software to create the constructions
• Review the relationship between all six of the tangent functions

Classroom Considerations

• Class should be familiar with basic constructions

Pros

• Answer keys use color to highlight the constructions
• Lesson connects the functions to geometry

Cons

• None

Common Core

8.G.C.9 MP1 MP7