## Parallel Lines problem.pdf - Section 3: Closure

Prove It (Part 1)

# Prove It (Part 1)

Unit 9: Similar and Right Triangles

Lesson 2 of 8

Lesson 2 of 8

## Objective: Students will be able to develop and prove hyptheses about angles in triangles, in preparation for the next lesson, in which they will develop a proof of the Pythagorean theorem.

Standards:

Subject(s):

Math, similar triangles, Geometry, Similarity and Congruence, triangle (Determining Measurements), proving hypotheses, right triangle, proof, altitude to the hypotenuse, hypothesis, 10th grade

*45 minutes*

3

#### Closure

*5 min*

With about five minutes to go, I ask the students to stop working and I let them know that I’d like each group to report out on their progress with the Parallel Lines problem.

- I ask to hear first from any groups who are not yet finished:
- What is their hypothesis?
- Where are they in the problem solving process?
- Are they having any particular issues? If so, with what?
- From groups who have finished, I ask for one observation from each group:
- Did they struggle with anything in particular?
- What did they find challenging?
- Did they find these tasks difficult or easy, and why?

#### Resources

*expand content*

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- LESSON 1: Introduction to Similar Right Triangles
- LESSON 2: Prove It (Part 1)
- LESSON 3: Prove It (Part 2)
- LESSON 4: Using the Pythagorean Theorem
- LESSON 5: Special Right Triangles
- LESSON 6: 30, 60, 90 Triangles
- LESSON 7: Isosceles Right Triangles
- LESSON 8: Special Right Triangles Puzzle Activity

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