August 22, 2013 1) Sit. 2) Materials out. 3) Backpacks away. 4) Do Now SILENTLY.

1. August 22, 20131) Sit. 2) Materials out. 3) Backpacks away. 4) Do Now SILENTLY. Learning Goal: • IWBAT name angles, identify congruent angles, and calculate the measurements of angles using congruence theorems. Homework: • Angles of Parallel Lines Worksheet (Due Monday/ Tuesday) ------------------------------------------------------------------- Do Now: • What is the value of x and y? Provide a justification. (y)° 43° (2x+3)°

2. Agenda: • Do Now (10 min) • Identifying Angles of Parallel Lines (10 min) • Exploring Angle Theorems of Parallel Lines (20 min) • Angles of Parallel Lines Algebra (30min) • Whiteboard Activity (25 min) • Distance and Midpoint Quiz (15 min) • Homework (5min)

3. Identify Angles of Parallel Lines 2 1 3 4 5 6 7 8 Vertical Angles: Alternate Interior Angles: Alternate Exterior Angles:

4. Identify Angles of Parallel Lines 2 1 3 4 5 6 7 8 Consecutive Interior Angles: Consecutive Exterior Angles: Corresponding Angles:

5. Theorems about Parallel Lines

6. Theorems about Parallel Lines

7. Theorems about Parallel Lines

8. Explore Theorems about Parallel Lines • Each pair of students receives a piece of tracing paper and straightedge. • Draw parallel lines with a transversal on a sheet of paper and label the angles. Then trace the image onto tracing paper. • Compare angles by moving the tracing paper. Determine whether the angles are congruent. • Is this single case enough to prove that the two angles are always congruent?

9. Explore Theorems about Parallel Lines • Click the following link for an interactive exploration of the angles of parallel lines. • http://www.mathwarehouse.com/geometry/angle/interactive-transveral-angles.php • Note that the pairs of alternate interior, alternate exterior, and corresponding angles will always be congruent no matter how I change the transversal.

10. Angles of Parallel LinesAlgebra

11. Angles of Parallel Lines Algebra

12. Angles of Parallel Lines Algebra

13. Parallel Lines Algebra Practice • Teacher will pass out worksheets where you will practice identifying and calculating angles of parallel lines. • Work independently or in partners.

14. Parallel Lines Algebra Activity • Students break up into groups of 3 or 4. Count off by 7. Each group comes up with a team name and receives a whiteboard, marker, and eraser. • Teacher will present problems about parallel lines that manifest in the real world. • Your teams have 2 minutes to solve the problem and write the answer on the whiteboard with its justification. • The correct answer receives 1 point. The correct justification receives an additional point.

15. Angle Relationships of Parallel Lines

16. Angle Relationships of Parallel Lines Suppose lines L and M are parallel. Find the value of x. L 37° (3x+23)° M

17. Angle Relationships of Parallel Lines Suppose lines L and M are parallel. What is ? Explain. 2 1 3 4 L 37° (3x+23)° 5 6 M 7 8

18. Angle Relationships of Parallel Lines Suppose lines L and M are parallel. What is the value of ? 2 1 3 4 L 37° (3x+23)° 5 6 M 7 8 (5y+18)°

19. Angle Relationships of Parallel Lines

20. Angle Relationships of Parallel Lines Suppose lines L and M are parallel. What is the value of ? 1 2 L 3 4 145° 2x+1 5 6 M 7 8

21. Angle Relationships of Parallel Lines Suppose lines L and M are parallel. What is the value of ? (3y+1)° 1 2 L 3 4 145° 2x+1 5 6 M 7 8

22. Angle Relationships of Parallel Lines Suppose lines L and M are parallel. What is ? Explain. (3y+1)° 1 2 L 3 4 145° 2x+1 5 6 M 7 8

23. Angle Relationships of Parallel Lines Suppose lines L and M are parallel. What is ? Explain. (3y+1)° 1 2 L 3 4 145° 2x+1 5 6 M 7 8

24. Angle Relationships of Parallel Lines 1 L 2 3 4 123° (6x+3)° 5 6 M 7 8

25. Angle Relationships of Parallel Lines Suppose lines L and M are parallel. What is ? 1 L 2 3 4 123° (6x+3)° 5 6 M 7 8

26. Angle Relationships of Parallel Lines Suppose lines L and M are parallel. What is ? (20y+3)° 1 L 2 3 4 123° (6x+3)° 5 6 M 7 8