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Exploring Distance and Midpoints with Math Formulas

Learn to compute using distance and midpoint formulas, apply scientific notation, simplify expressions, and find midpoints on coordinate planes. Practice solving problems with integer exponents. Watch the video tutorial for practical examples.

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Exploring Distance and Midpoints with Math Formulas

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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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