1. Lesson Distance and Midpoints 1-3

2. Ohio Content Standards:

3. Estimate, compute and solve problems involving scientific notation, square roots and numbers with integer exponents.

4. Ohio Content Standards: Apply order of operations to simplify expressions and perform computations involving integer exponents and radicals.

5. Distance Formula

6. Number Line

7. PQ ab Distance Formula Number Line

8. PQ ab Distance Formula Number Line »PQ = l b – a l or l a – b l

9. Distance Formula

10. Coordinate Plane

11. Distance Formula Coordinate Plane –The distance d between two points with coordinates (x 1, y 1 ) and (x 2, y 2 ) is given by

12. Coordinate Plane –The distance d between two points with coordinates (x 1, y 1 ) and (x 2, y 2 ) is given by Distance Formula

13. Midpoint

14. Number Line

15. PQ ab Midpoint Number Line

16. PQ ab Midpoint Number Line »

17. Midpoint

18. Coordinate Plane

19. Midpoint Coordinate Plane –The coordinates of the midpoint of a segment whose endpoints have coordinates (x 1, y 1 ) and (x 2, y 2 ) are

20. Midpoint Coordinate Plane –The coordinates of the midpoint of a segment whose endpoints have coordinates (x 1, y 1 ) and (x 2, y 2 ) are

21. Video Link: http://www.teachertube.com/ video/distance-and- midpoints-part-1-299746http://www.teachertube.com/ video/distance-and- midpoints-part-1-299746

22. Use the number line to find QR.

23. RQ -8-7-6-5-4-30-2

24. Find the distance between E(-4, 1) and F(3, -1).

25. The coordinates on a number line of J and K are -12 and 16, respectively. Find the coordinate of the midpoint of JK.

26. Find the coordinates of the midpoint of GH for G(8, -6) and H(-14, 12).

27. Find the coordinate of D if E(-6, 4) is the midpoint of DF and F has coordinates (-5, -3).

28. What is the measure of PR if Q is the midpoint of PR? P Q R 6 - 3x 14x + 2

29. Assignment: Pgs. 25 - 27 14 - 44 evens 58 – 62 all