Put the vertex in, put the vertex out. Pupils explore theorems about the relationships of lengths of segments and angles of line segments that intersect inside or outside the circle. Learners use the theorems to solve problems involving angle measures, arc measures, or lengths. Scholars then use the worksheets to gain mastery of the new skills.

Concepts

secant, chords, angle measurement, angles, arcs, circles, tangent, tangent lines, segments

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Instructional Ideas

• Have class members create a graphic organizer to record the theorems and examples in their own words

Classroom Considerations

• Assumes pupils know how to solve linear equations in one variable
• Installment four in a circles unit with five parts

• This video is hosted on YouTube

Pros

• Uses colors to highlight arcs and expressions that go together
• Includes a detailed answer sheet showing steps needed to arrive at the solution

Cons

• None

Common Core

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