1. ©Evergreen Public Schools 2011 1 1/18/2011 Pairs of Angles Teacher Notes Supplies Needed: Straightedges/Rulers Protractors Patty Paper or Parchment paper cut into 4” squares. Student Unit 6 Organizer Vocabulary complementary supplementary linear pair vertical angles

2. ©Evergreen Public Schools 2011 2 Learning Target I can identify pairs of angles and use these relationships to determine missing angle measures. Draw or describe the words you already know. Complementary Supplementary Adjacent Vertical

3. ©Evergreen Public Schools 2011 3 Write an equation that can be used to find the measure of  B Find the m  B. What word describe  B and  C?

4. ©Evergreen Public Schools 2010 4 ExploreExplore

5. ©Evergreen Public Schools 2011 5 line segment ray (with endpoint at A) Put this notation on the back page of your organizer.   A B     A B A B

6. ©Evergreen Public Schools 2011 6 work alone You will need: Construction tools straight edge or ruler protractor compass pencil patty paper Looking at Angles

7. ©Evergreen Public Schools 2011 7 Looking at Angles On your Angle Relationships Notes draw a line. Place three points, P, S and Q on your line. P Q S

8. ©Evergreen Public Schools 2011 8 Use a protractor to measure and label the two angles created by Use a protractor to verify the measurements on your partner’s paper. Choose a point H, not on the line, and draw (ray) Looking at Angles H SH P Q S

9. ©Evergreen Public Schools 2011 9 Looking at Angles The two angles you’ve created are called a Linear Pair. Why do you think this is a good name? What do you notice about the sum of the measures of the two angles created by ? Let’s make a generalization: The sum of the angles that are linear pairs….. SH

10. ©Evergreen Public Schools 2010 10 Team Practice #1) Solve for the variable. 100° a

11. ©Evergreen Public Schools 2011 11 Looking at Angles Draw two intersecting lines onto patty paper. Label the four angles formed.  1 and  3 are called vertical angles.  2 and  4 are also vertical angles. Note : Here, the word “ vertical” has nothing to do with horizontal. 1 2 3 4

12. ©Evergreen Public Schools 2011 12 Looking at Angles Fold the paper so that  1 lies directly on top of  3. What do you notice about their measurements? 1 2 3 4

13. ©Evergreen Public Schools 2011 13 Looking at Angles Fold the paper so that  2 lies directly on top of  4. What do you notice about their measurements? 1 2 3 4

14. ©Evergreen Public Schools 2011 14 Looking at Angles Let’s make a generalization: Vertical angles… Watch the online tutorial. 1 2 3 4

15. ©Evergreen Public Schools 2010 15 Team Practice Without measuring, find the measure of each angle. Compare your answers with your partner. Challenge: What is another way to determine the measurement of the angles? 87° b c d m  b = m  c = m  d =

16. K ©Evergreen Public Schools 2010 16 Team Practice Without measuring, find the measure of the angles. Compare your answers with your partner. Challenge: What is another way to determine the measurement of the angles? m  GJI = m  FJK = m  HJK =

17. ©Evergreen Public Schools 2011 17 Without measuring, find the measure of each angle. Share your answers with your partner Challenge: What is another way to determine the measurement of the angles ? m  V = m  W =

18. Debrief Unit Organizer complementary – pg 4 linear pair – pg 4 & 6 supplementary – pg 5 vertical angles – pg 5 & 6 ©Evergreen Public Schools 2011 18

19. ©Evergreen Public Schools 2011 19 5 3 1 2 4 Learning Target Did you hit the target? I can identify pairs of angles and use these relationships to determine missing angle measures. Rate your understanding of the target from 1 to 5. 5 is a bullseye!

20. ©Evergreen Public Schools 2011 20 Without measuring, find the measure the angles. Explain! m  QRM = m  LRN =