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This Prove the Pythagorean Theorem Using Similarity lesson plan also includes:
- Similarity, Proof, and Trigonometry - Module Overview (PDF)
- Similarity, Proof, and Trigonometry - Module Overview (Doc)
- Prove the Pythagorean Theorem Using Similarity (Doc)
- Prove the Pythagorean Theorem Using Similarity (PDF)
- Prove the Pythagorean Theorem Using Similarity (Doc)
- Assessment
- Answer Key
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Amaze your classes with the ability to find side lengths of triangles immediately — they'll all want to know your trick! Learners use the Pythagorean Theorem and special right triangle relationships to find missing side lengths.
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CCSS:
Designed
Concepts
Additional Tags
Instructional Ideas
- Begin with several right triangles with known side lengths; have pupils find the relationship between the three sides of the right triangle and verify it is true for all triangles given
- Instruct individuals to record the relationships discussed in a table for quick reference
Classroom Considerations
- Allow time for practice with the Pythagorean Theorem and special right triangles
- A continuation of the previous lesson in a 36-part series
Pros
- Emphasizes similarity when exploring special right triangle relationships
- Discusses the proof of the Pythagorean Theorem and develops it directly from content in a previous lesson
Cons
- There is a shortage of practice within the lesson for the new concepts