## Exploration 2 PTA - Section 2: Exploration #1 and #2

# PTA (Parallel Lines, Transversals and Angles)

Lesson 4 of 9

## Objective: SWBAT identify and apply relationships created by angles formed by parallel lines cut by a transversal.

#### Do Now

*10 min*

Students will review identifying angles like alternate interior, alternate exterior, corresponding, and consecutive interior angles. You should note that question #3 has none of these relationships.

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#### Exploration #1 and #2

*35 min*

The video narrative explains the two explorations and how they exemplify **math practice standards 3** (viable arguments and critiques) and **6** (attend to precison).

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#### Practice with Angles

*15 min*

Teachers can lead students through these application with algebra questions for further practice of using angle relationships given 2 parallel lines cut by a transversal. Question #1 focuses on numerical application, while questions #2-4 focus on utilizing algebra skills. You should be wary of question #3 as most students will find x, and then stop. This is a great chance for you to warn students about this "trap" which is frequently on the SATs as well.

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#### Activity/Homework

*10 min*

Students will work in small groups or independently to complete the activity if time remains. If time is limited in class this can become a homework assignment.

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#### Exit Ticket

*10 min*

Students will find the measure of an angle algebraically based on the knowledge that consecutive interior angles are supplementary.

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- UNIT 1: Introduction to Geometry: Points, Lines, Planes, and Angles
- UNIT 2: Line-sanity!
- UNIT 3: Transformers and Transformations
- UNIT 4: Tremendous Triangles
- UNIT 5: Three Triangle Topics
- UNIT 6: Pretty Polygons
- UNIT 7: MidTerm Materials
- UNIT 8: Circles
- UNIT 9: 3-D Shapes and Volume
- UNIT 10: Sweet Similar Shapes
- UNIT 11: Trig Trickery
- UNIT 12: Finally Finals

- LESSON 1: Proving It
- LESSON 2: Prove It with Angle Relationships
- LESSON 3: Skew Lines and their Friends
- LESSON 4: PTA (Parallel Lines, Transversals and Angles)
- LESSON 5: Flow Proofs and PTA
- LESSON 6: Line It Up!
- LESSON 7: Perp Lines are Perfect
- LESSON 8: Parabolas and Review of Line-sanity!
- LESSON 9: Assessment for Line-Sanity