Coordinate geometry

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Coordinate geometry

  1. 1. By SADIA ZAREEN
  2. 2. Definition Grid – A pattern of horizontal and vertical lines, usually forming squares.
  3. 3. Definition Coordinate grid – a grid used to locate a point by its distances from 2 intersecting straight lines. A B What are the C coordinates D for the house? E 1 2 3 4 5
  4. 4. Definition x axis – a horizontal number line on a coordinate grid. 0 1 2 3 4 5 6 x
  5. 5. Hint x is the shortest and likes to lie down horizontally. 0 1 2 3 4 5 6 x
  6. 6. Definition y axis – a vertical number line on a coordinate grid. 6 5 y 4 3 2 1 0
  7. 7. Hint y is the tallest and stands upright or vertically. 6 5 y 4 3 2 1 0
  8. 8. Definition Coordinates – an ordered pair of numbers that give the location of a point on a grid. (3, 4) 6 5 4 (3,4) 3 2 1 00 1 2 3 4 5 6
  9. 9. Hint 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. 6 5 4 (3,4) 3 2 1 00 1 2 3 4 5 6
  10. 10. How to Plot Ordered Pairs Step 1 – Always find the x value first, moving horizontally either right (positive) or left (negative). (2, 3) 6 5 4 y 3 2 1 00 1 2 3 4 5 6 x
  11. 11. How to Plot Ordered Pairs Step 2 – Starting from your new position find the y value by moving vertically either up (positive) or down (negative). 6 (2, 3) 5 4 y 3 (2,3) 2 1 00 1 2 3 4 5 6 x
  12. 12. How to Find Ordered Pairs Step 1 – Find how far over horizontally the point is by counting to the right (positive) or the left (negative). (5, ) 6 5 4 y 3 2 1 00 1 2 3 4 5 6 x
  13. 13. How to Find Ordered Pairs Step 2 – Now count how far vertically the point is by counting up (positive) or down (negative). 6 (5,4) 5 4 y 3 2 1 00 1 2 3 4 5 6 x
  14. 14. What is the ordered pair? (2,6) 6 5 4 y 3 2 1 00 1 2 3 4 5 6 x
  15. 15. What is the ordered pair? (4,0) 6 5 4 y 3 2 1 00 1 2 3 4 5 6 x
  16. 16. What is the ordered pair? (0,5) 6 5 4 y 3 2 1 00 1 2 3 4 5 6 x
  17. 17. What is the ordered pair? (1,1) 6 5 4 y 3 2 1 00 1 2 3 4 5 6 x
  18. 18. Four Quadrants of Coordinate Grid When the number lines are extended into the negative number lines you add 3 more quadrants to the coordinate grid. 3 y 2 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
  19. 19. Four Quadrants of Coordinate Grid If the x is negative you move to the left of the 0. x = -2 3 y 2 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
  20. 20. Four Quadrants of Coordinate Grid If the y is negative you move down below the zero. y = -3 3 y 2 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
  21. 21. How to Plot in 4 Quadrants Step 1 - Plot the x number first moving to the left when the number is negative. (-3, -2) 3 y 2 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
  22. 22. How to Plot in 4 Quadrants Step 2 - Plot the y number moving from your new position down 2 when the number is negative.3 y 2 (-3, -2) 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
  23. 23. How to Plot in 4 Quadrants When x is positive and y is negative, plot the ordered pair in this manner. 3 y 2 (2, -2) 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
  24. 24. How to Plot in 4 Quadrants When x is negative and y is positive, plot the ordered pair in this manner. 3 y 2 (-2, 2) 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
  25. 25. Plot This Ordered Pair (-3, -3) 3 y 2 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
  26. 26. Plot This Ordered Pair (-1, 2) y 3 2 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
  27. 27. Plot This Ordered Pair (1, -1) 3 y 2 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
  28. 28. Plot This Ordered Pair (2, -2) 3 y 2 1 0 x -1 -2 -3 -3 -2 -1 0 1 2 3
  29. 29. Copyright © 2000 by Monica Yuskaitis

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