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This Similarity and the Angle Bisector Theorem lesson plan also includes:
- Similarity, Proof, and Trigonometry - Module Overview (PDF)
- Similarity, Proof, and Trigonometry - Module Overview (Doc)
- Similarity and the Angle Bisector Theorem (Doc)
- Similarity and the Angle Bisector Theorem (PDF)
- Similarity and the Angle Bisector Theorem (Doc)
- Assessment
- Answer Key
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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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Designed
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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