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Lesson

1-3. Lesson. Distance and Midpoints. Ohio Content Standards:. Ohio Content Standards:. Estimate, compute and solve problems involving scientific notation, square roots and numbers with integer exponents. Ohio Content Standards:.

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  1. 1-3 Lesson Distance and Midpoints

  2. Ohio Content Standards:

  3. Ohio Content Standards: • 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. Distance Formula • Number Line

  7. P Q a b Distance Formula • Number Line

  8. P Q a b Distance Formula • Number Line • PQ = l b – a l or l a – b l

  9. Distance Formula

  10. Distance Formula • Coordinate Plane

  11. Distance Formula • Coordinate Plane • The distance d between two points with coordinates (x1, y1) and (x2, y2) is given by

  12. Distance Formula • Coordinate Plane • The distance d between two points with coordinates (x1, y1) and (x2, y2) is given by

  13. Midpoint

  14. Midpoint • Number Line

  15. P Q a b Midpoint • Number Line

  16. P Q a b Midpoint • Number Line

  17. Midpoint

  18. Midpoint • Coordinate Plane

  19. Midpoint • Coordinate Plane • The coordinates of the midpoint of a segment whose endpoints have coordinates (x1, y1) and (x2, y2) are

  20. Midpoint • Coordinate Plane • The coordinates of the midpoint of a segment whose endpoints have coordinates (x1, y1) and (x2, y2) are

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

  22. Use the number line to find QR.

  23. Use the number line to find QR. Q R -8 -7 -6 -5 -4 -3 -2 -1 0

  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 6 - 3x R 14x + 2

  29. Assignment:Pgs. 25 - 2714 - 44 evens58 – 62 all

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