Experiments with Inscribed Angles

Right angles, acute angles, obtuse angles, central angles, inscribed angles: how many types of angles are there? Learners first investigate definitions of inscribed angles, central angles, and intercepted arcs. The majority of the lesson then focuses on four different exploratory challenges designed to develop the relationship between these types of angles.

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CCSS: Designed
Instructional Ideas

  • Use the activities during an introductory lesson on inscribed and central angles
Classroom Considerations

  • Teacher resource indicates that the lesson sets up subsequent lessons
  • Activity requires prior preparation of materials, such as trapezoidal cutouts from colored cardstock
  • The fourth installment of a 23-part module
Pros

  • Activity extends what pupils learned in a previous lesson on inscribing angles on a diameter to all inscribed angles
  • Teacher resource includes an answer key with possible solutions and explanations
Cons

  • Lesson does not completely describe the Inscribed Angle Theorem
Common Core