Coordinate Geometry

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Coordinate Geometry

  1. 1. Coordinate Geometry by Dhruv Verma X B
  2. 2. Definition <ul><li>Grid – A pattern of horizontal and vertical lines, usually forming squares. </li></ul>
  3. 3. Definition <ul><li>Coordinate grid – a grid used to locate a point by its distances from 2 intersecting straight lines. </li></ul>A B C D E 1 2 3 4 5 What are the coordinates for the house?
  4. 4. Definition <ul><li>x axis – a horizontal number line on a coordinate grid. </li></ul>1 2 3 4 5 0 6 x
  5. 5. Hint <ul><li>x is the shortest and likes to lie down horizontally. </li></ul>1 2 3 4 5 0 6 x
  6. 6. Definition <ul><li>y axis – a vertical number line on a coordinate grid. </li></ul>1 2 3 4 5 0 6 y
  7. 7. Hint <ul><li>y is the tallest and stands upright or vertically. </li></ul>1 2 3 4 5 0 6 y
  8. 8. Definition <ul><li>Coordinates – an ordered pair of numbers that give the location of a point on a grid. (3, 4) </li></ul>1 2 3 4 5 0 6 1 2 3 4 5 0 6 (3,4)
  9. 9. Hint <ul><li>The first number is always the x or first letter in the alphabet. The second number is always the y the second letter in the alphabet. </li></ul>1 3 2 4 5 0 6 1 2 3 4 5 0 6 (3,4)
  10. 10. How to Plot Ordered Pairs <ul><li>Step 1 – Always find the x value first, moving horizontally either right (positive) or left (negative). </li></ul>1 3 2 4 5 0 6 1 2 3 4 5 0 6 (2, 3) y x
  11. 11. How to Plot Ordered Pairs <ul><li>Step 2 – Starting from your new position find the y value by moving vertically either up (positive) or down (negative). </li></ul>1 3 2 4 5 0 6 1 2 3 4 5 0 6 (2, 3) (2,3) y x
  12. 12. How to Find Ordered Pairs <ul><li>Step 1 – Find how far over horizontally the point is by counting to the right (positive) or the left (negative). </li></ul>1 3 2 4 5 0 6 1 2 3 4 5 0 6 (5, ) y x
  13. 13. How to Find Ordered Pairs <ul><li>Step 2 – Now count how far vertically the point is by counting up (positive) or down (negative). </li></ul>1 3 2 4 5 0 6 1 2 3 4 5 0 6 (5,4) y x
  14. 14. What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (3,5) y x
  15. 15. What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (2,6) y x
  16. 16. What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (4,0) y x
  17. 17. What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (0,5) y x
  18. 18. What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (1,1) y x
  19. 19. Four Quadrants of Coordinate Grid <ul><li>When the number lines are extended into the negative number lines you add 3 more quadrants to the coordinate grid. </li></ul>-2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 y x
  20. 20. Four Quadrants of Coordinate Grid <ul><li>If the x is negative you move to the left of the 0. </li></ul>-2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 x = -2 y x
  21. 21. Four Quadrants of Coordinate Grid <ul><li>If the y is negative you move down below the zero. </li></ul>-2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 y = -3 y x
  22. 22. How to Plot in 4 Quadrants <ul><li>Step 1 - Plot the x number first moving to the left when the number is negative. </li></ul>-2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (-3, -2) y x
  23. 23. How to Plot in 4 Quadrants <ul><li>Step 2 - Plot the y number moving from your new position down 2 when the number is negative. </li></ul>-2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (-3, -2) y x
  24. 24. How to Plot in 4 Quadrants <ul><li>When x is positive and y is negative, plot the ordered pair in this manner. </li></ul>-2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (2, -2) y x
  25. 25. How to Plot in 4 Quadrants <ul><li>When x is negative and y is positive, plot the ordered pair in this manner. </li></ul>-2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (-2, 2) y x
  26. 26. Plot This Ordered Pair -2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (-3, -3) y x
  27. 27. Plot This Ordered Pair -2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (-1, 2) y x
  28. 28. Plot This Ordered Pair -2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (1, -1) y x
  29. 29. Plot This Ordered Pair -2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (2, -2) y x
  30. 30. Plot This Ordered Pair -2 0 -1 1 2 -3 3 -2 -1 0 1 2 -3 3 (-3, -2) y x
  31. 31. Credits Clipart from “Microsoft Clip Gallery” located on the Internet at http://cgl.microsoft.com/ clipgallerylive/default.asp

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