Similarity and the Angle Bisector Theorem

Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to be true for all triangles. They then apply the concept by finding missing side lengths.

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CCSS: Designed
Instructional Ideas

  • Begin the lesson with a construction of an angle bisector in a triangle; have groups measure segments and make comparisons
  • Use examples as a collaborative activity and record work and answers on the board
Classroom Considerations

  • Learners should be proficient in creating and solving proportions and familiar with two-variable equations
Pros

  • Uses more advanced proportions, including those with two variables
  • Includes a review of essential skills as an opening activity
Cons

  • None