Investigate relationships between angles, arcs, and segments in circles. Pupils use geometry software to discover the relationships between angles, arcs, and segments associated with circles. Class members use similar triangles to determine the relationships with segment lengths in circles.

Concepts

circles, tangent, tangent lines, chords, secant, central angles, inscribed angle, arcs, interior angles, exterior angles

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Additional Tags

math

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Instructional Ideas

• Create a table so the class can fill in measurements to see everyone's information before developing conclusions
• Provide opportunities for students to practice using the formulas they discovered

Classroom Considerations

• Uses dynamic geometry software

Pros

• Contains an instructor reference for angles formed
• Includes assessment questions to check for understanding

Cons

• None

Common Core

HSG-C.A.2 HSG-C.B.5 MP6 MP8