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 In mathematics, we use a grid to locate points..

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Presentation on theme: " In mathematics, we use a grid to locate points.."— Presentation transcript:

1  In mathematics, we use a grid to locate points.

2 The coordinate plane is formed by the perpendicular intersection of two number lines called axes.

3 Horizontal axis is called the x-axis

4 Vertical axis is called the y-axis

5 The intersection of the two axes is called the origin

6 The intersection of the two number lines forms four quadrants.

7 Divides into Four Quadrants I

8 Divides into Four Quadrants I II

9 Divides into Four Quadrants I II III

10 Divides into Four Quadrants I II III IV

11 Divides into Four Quadrants and… I II III IV

12 Math Alert The quadrants do not include the axes I II III IV

13 Math Alert A point on the x or y axis is not in a quadrant I II III IV

14 Each point in the coordinate plane is associated with an ordered pair, (x,y) (x,y)

15 The x and y of the ordered pair, (x,y), are called its coordinates (x,y)

16 Math Alert There is an infinite amount of points in the Cartesian plane

17

18  Always start at (0,0)---every point “originates” at the origin

19  In plotting (x,y) ---remember the directions of both the x and y axis y x

20  ( x,---) x-axis goes left and right

21  ( ---, y ) y-axis goes up and down

22

23

24  Start at (0,0)  (, ---)  Move right 2 +

25  (---, )  (---, 1)  Move up 1 +

26

27

28  Start at (0,0)  (, ---)  Move right 4 +

29  (---, )  (---, -2)  Move down 2 -

30

31

32  Start at (0,0) (, ---)  Move left 3 -

33  (---, )  (---, 5)  Move up 5 +

34

35

36  Start at (0,0)  (none,---)  No move right or left

37  (0, )  (---, 4)  Move up 4 +

38

39

40  Start at (0,0)  (,---)  Move left 5

41  ( ---, 0)  No move up or down

42

43 Approximate the coordinates of the point--- Or what is the ‘(x,y)’ of the point? Directions:

44 Approximate the coordinates of the point Directions:

45 Approximate the coordinates of the point Directions:

46 Approximate the coordinates of the point Directions:

47 Approximate the coordinates of the point Directions:

48 Approximate the coordinates of the point Directions:

49 Approximate the coordinates of the point Directions:

50 Approximate the coordinates of the point Directions:

51 Approximate the coordinates of the point Directions:

52 Approximate the coordinates of the point Directions:

53 Approximate the coordinates of the point Directions:

54 Approximate the coordinates of the point Directions:

55 Find the coordinates of the point two units to the left of the y-axis and five units above the x-axis Directions:

56 Find the coordinates of the point two units to the left of the y-axis and five units above the x-axis Directions:

57 Find the coordinates of the point on the x-axis and three units to the left of the y-axis Directions:

58 Find the coordinates of a point on the x-axis and three units to the left of the y-axis Directions:


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