PTA (Parallel Lines, Transversals and Angles)

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Objective

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

Big Idea

Students will draw and measure to discover relationships of angles formed by parallel lines cut by a transversal.

Do Now

10 minutes

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. 

Exploration #1 and #2

35 minutes

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

Practice with Angles

15 minutes

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.

Activity/Homework

10 minutes

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.

Exit Ticket

10 minutes

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