Interior Angles, Exterior Angles, and Diagonals of Polygons

How does the number of sides of a polygon affect the angle measures? Learners recognize a pattern in finding the total measure of interior and exterior angles and the number of diagonals. They use the patterns to calculate the number of diagonals and angle measures. 

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CCSS: Adaptable
Instructional Ideas

  • Extend the discussion of polygons to include regular and irregular shapes
  • Highlight the new vocabulary using various examples for each term
Classroom Considerations

  • Pupils may be able to develop a formula on their own if given the opportunity
  • The fifth installment in a 16-part series of geometry lessons
Pros

  • Develops formulas by analyzing patterns and determining the relationship that works for all polygons
  • Includes problems for independent practice
Cons

  • None
Common Core