Intercept the class's learning on circles. Pupils learn the relationship between intercepted arcs and inscribed angles. The scholars use that information to find the relationship of angles in an inscribed quadrilateral and an angle formed by a chord and a tangent. Using the relationships, learners find the measures of angles and arc in problems.

Concepts

inscribed angle, arcs, circles, quadrilaterals

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Instructional Ideas

• Present proofs of the theorems introduced in the lesson

Classroom Considerations

• Assumes students are fluent in solving linear equations in one variable
• Fits as the third installment in a five-part unit on circles
• The main worksheet is titled "Inscribed Angles"

• This video is hosted on YouTube

Pros

• Uses colors to highlight figures and corresponding equations
• Provides additional problems for those needing more practice

Cons

• None

Common Core

SL.9-10.2 SL.11-12.2 MP6 MP7 HSG-C.A.2