## Reflection: Adjustments to Practice Proving Pythagorean Theorem Using Similar Triangles - Section 3: Similarities and Correspondences

When I originally conceived this lesson, I had the idea that I would try to have students discover the relationships that arise when the altitude is drawn to the hypotenuse is drawn and then use that new knowledge to prove the Pythagorean theorem. As it turned out, I think I bit off more than I could chew.

As a result, I went back and created a lesson that developed the similarity relationships that arise when the altitude is drawn to the hypotenuse and how the geometric mean is a useful tool in that situation. When I teach this course again, I will definitely teach that lesson, entitled Altitude to the Hypotenuse as a lead-up to this lesson. I will also modify this lesson in order to adjust to the learning that students will already have done in that lesson.

Teach and learn.

Should have taught the Altitude to the Hypotenuse Lesson First
Adjustments to Practice: Should have taught the Altitude to the Hypotenuse Lesson First

# Proving Pythagorean Theorem Using Similar Triangles

Unit 6: Similarity
Lesson 7 of 8

## Big Idea: Altitude Adjustment? By strategically introducing the altitude to the hypotenuse of a right triangle, students will be able to prove the Pythagorean Theorem.

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Standards:
Subject(s):
Math, Pythagorean Theorem, Similar Triangles, proof
130 minutes

### Anthony Carruthers

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