1. 12/14/2010 ©Evergreen Public Schools 2010 1 6.4: Slope, Length and Midpoint Teacher Notes Notes: Review Slope Formula from Integrated 1. Use Pythagorean Theorem to develop Distance Formula. Use average to develop Midpoint Formula. Vocabulary: midpoint

2. ©Evergreen Public Schools 2010 2 Learning Target I can find the slope, length and midpoint of a segment on a coordinate grid. What is new to you?

3. ©Evergreen Public Schools 2010 3 LaunchLaunch Find slope length midpoint Definition: A point on a line segment that divides it into two equal parts. The halfway point of a line segment.

4. ©Evergreen Public Schools 2010 4 ExploreExplore

5. 5 Slope Formula Last year you learned the formula to find the slope of a line or segment. What is the slope formula? Use the slope formula to find the slope of the line that passes through (2, 3) and (6, 1).

6. ©Evergreen Public Schools 2010 6 I don’t think we have a formula for distance. Find the length of the line that passes through (2, 3) and (6, 1). What formula do you already know that can help you? Find the length of the line that passes through (x 1, y 1 ) and ( x 2, y 2 ).

7. ©Evergreen Public Schools 2010 7 We do not have a formula to find the midpoint of a segment. Find the midpoint of the segment that connects (2, 3) and (6, 1). What do you notice about the x - coordinates and the x -coordinate of your vertex? Is the same true for the y -coordinate of your vertex? Find the midpoint of the segment that connects (x 1, y 1 ) and ( x 2, y 2 ).

8. ©Evergreen Public Schools 2010 8 Team Practice Work together on “Slope, Length and Midpoint”.

9. ©Evergreen Public Schools 2010 9 Debrief Write at least one new thing you learned today. Tell you partner what you learned.

10. ©Evergreen Public Schools 2010 10 5 3 1 2 4 Learning Target Did you hit the target? I can find the slope, length and midpoint of a segment on a coordinate grid. Rate your understanding of the target from 1 to 5. 5 is a bullseye!

11. ©Evergreen Public Schools 2010 11 Practice Practice 6.4A

12. ©Evergreen Public Schools 2010 12 Find the midpoint: K (1, 3) and L (5, 9). Show the steps you used.