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. 

Concepts

interior angles, exterior angles, vertices, polygons

Show More Show Less

Additional Tags

math

Show More Show Less

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

HSG-CO.C.10