1 / 56

The Coordinate Plane

The Coordinate Plane. What You'll Learn. You will learn to name and graph ordered pairs on a coordinate plane. In coordinate geometry, grid paper is used to locate points. The plane of the grid is called the coordinate plane. y. 5. 5. 4. 3. 2. 1. x. -5. -5. -4. -3. -2. -1. 1.

Télécharger la présentation

The Coordinate Plane

E N D

Presentation Transcript

1. The Coordinate Plane What You'll Learn You will learn to name and graph ordered pairs on acoordinate plane. In coordinate geometry, grid paper is used to locate points. The plane of the grid is called the coordinate plane.

2. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane What You'll Learn You will learn to name and graph ordered pairs on acoordinate plane. In coordinate geometry, grid paper is used to locate points. The plane of the grid is called the coordinate plane.

3. y 5 5 4 3 2 1 O x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane The horizontal number lineis called the ______.

4. y 5 5 4 3 2 1 O x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane The horizontal number lineis called the ______. x-axis

5. y 5 5 4 3 2 1 O x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane The horizontal number lineis called the ______. x-axis The vertical number lineis called the ______.

6. y 5 5 4 3 2 1 O x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane The horizontal number lineis called the ______. x-axis The vertical number lineis called the ______. y-axis

7. y 5 5 4 3 2 1 O x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane The horizontal number lineis called the ______. x-axis The vertical number lineis called the ______. y-axis The point of intersection of the twoaxes is called the _____.

8. y 5 5 4 3 2 1 O x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane The horizontal number lineis called the ______. x-axis The vertical number lineis called the ______. y-axis The point of intersection of the twoaxes is called the _____. origin

9. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane The horizontal number lineis called the ______. x-axis The vertical number lineis called the ______. y-axis The point of intersection of the twoaxes is called the _____. origin The two axes separate the plane intofour regions called _________.

10. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 Quadrant IV (+, –) Quadrant III (–, –) Quadrant II (–, +) Quadrant I (+, +) -4 -5 -5 The Coordinate Plane The horizontal number lineis called the ______. x-axis The vertical number lineis called the ______. y-axis The point of intersection of the twoaxes is called the _____. origin The two axes separate the plane intofour regions called _________. quadrants

11. The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates apoint in the coordinate plane.

12. The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates apoint in the coordinate plane. Each ordered pair corresponds to EXACTLY ________ in the coordinate plane.

13. The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates apoint in the coordinate plane. one point Each ordered pair corresponds to EXACTLY ________ in the coordinate plane.

14. The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates apoint in the coordinate plane. one point Each ordered pair corresponds to EXACTLY ________ in the coordinate plane. The point in the coordinate plane is called the graph of the ordered pair.

15. The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates apoint in the coordinate plane. one point Each ordered pair corresponds to EXACTLY ________ in the coordinate plane. The point in the coordinate plane is called the graph of the ordered pair. Locating a point on the coordinate plane is called _______ the ordered pair.

16. The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates apoint in the coordinate plane. one point Each ordered pair corresponds to EXACTLY ________ in the coordinate plane. The point in the coordinate plane is called the graph of the ordered pair. graphing Locating a point on the coordinate plane is called _______ the ordered pair.

17. The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates apoint in the coordinate plane. one point Each ordered pair corresponds to EXACTLY ________ in the coordinate plane. The point in the coordinate plane is called the graph of the ordered pair. graphing Locating a point on the coordinate plane is called _______ the ordered pair.

18. The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates apoint in the coordinate plane. one point Each ordered pair corresponds to EXACTLY ________ in the coordinate plane. The point in the coordinate plane is called the graph of the ordered pair. graphing Locating a point on the coordinate plane is called _______ the ordered pair. ordered pair of real numbers

19. The Coordinate Plane An ordered pair of real numbers, called coordinates of a point, locates apoint in the coordinate plane. one point Each ordered pair corresponds to EXACTLY ________ in the coordinate plane. The point in the coordinate plane is called the graph of the ordered pair. graphing Locating a point on the coordinate plane is called _______ the ordered pair. ordered pair of real numbers point in the coordinate plane

20. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point A at (4, 3) The first number, 4, is called the ___________. x-coordinate It tells the number of units the point lies tothe __________ of the origin.

21. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point A at (4, 3) The first number, 4, is called the ___________. x-coordinate It tells the number of units the point lies tothe __________ of the origin. left or right

22. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point A at (4, 3) The first number, 4, is called the ___________. x-coordinate It tells the number of units the point lies tothe __________ of the origin. left or right The second number, 3, is called the ___________. y-coordinate It tells the number of units the point lies _____________ the origin.

23. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point A at (4, 3) The first number, 4, is called the ___________. x-coordinate (4, 3) It tells the number of units the point lies tothe __________ of the origin. left or right The second number, 3, is called the ___________. y-coordinate It tells the number of units the point lies _____________ the origin. above or below

24. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point A at (4, 3) The first number, 4, is called the ___________. x-coordinate (4, 3) It tells the number of units the point lies tothe __________ of the origin. left or right The second number, 3, is called the ___________. y-coordinate It tells the number of units the point lies _____________ the origin. above or below What is the coordinate of the origin?

25. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 (0, 0) -2 -3 -4 -5 -5 The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point A at (4, 3) The first number, 4, is called the ___________. x-coordinate (4, 3) It tells the number of units the point lies tothe __________ of the origin. left or right The second number, 3, is called the ___________. y-coordinate It tells the number of units the point lies _____________ the origin. above or below What is the coordinate of the origin?

26. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point B at (2, –3)

27. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point B at (2, –3) The first number, 2, is called the ___________. x-coordinate It tells the number of units the point lies tothe __________ of the origin.

28. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point B at (2, –3) The first number, 2, is called the ___________. x-coordinate It tells the number of units the point lies tothe __________ of the origin. left or right

29. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point B at (2, –3) The first number, 2, is called the ___________. x-coordinate It tells the number of units the point lies tothe __________ of the origin. left or right The second number, –3, is called the ___________. y-coordinate It tells the number of units the point lies _____________ the origin.

30. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane Graphing an ordered pair, (point): (x, y) Graph point B at (2, –3) The first number, 2, is called the ___________. x-coordinate It tells the number of units the point lies tothe __________ of the origin. left or right The second number, –3, is called the ___________. y-coordinate (2, –3) It tells the number of units the point lies _____________ the origin. above or below

31. y 5 5 4 3 2 A B 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 C -3 D -4 -5 -5 The Coordinate Plane Give the coordinates of the points A, B, C, & D A B Point A(x, y) = Point B(x, y) = Point C(x, y) = Point D(x, y) = C D

32. y 5 5 4 3 2 A (3, 2) B (–3, 2) 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 C (–3, –2) -3 D (3, –2) -4 -5 -5 The Coordinate Plane Name the points A, B, C, & D A (3, 2) B Point A(x, y) = Point B(x, y) = (–3, 2) Point C(x, y) = (–3, –2) Point D(x, y) = (3, –2) C D

33. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane • On a piece of grid paper draw lines representing the x-axis and the y-axis. • Graph : Point A(x, y) = A(2, 4) Point B(x, y) = B(2, 0) Point C(x, y) = C(2, –3) Point D(x, y) = D(2, –5)

34. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 Consider these questions: -2 -3 -4 -5 -5 The Coordinate Plane • On a piece of grid paper draw lines representing the x-axis and the y-axis. • Graph : Point A(x, y) = A(2, 4) Point B(x, y) = B(2, 0) Point C(x, y) = C(2, –3) Point D(x, y) = D(2, –5) x = 2 1) What do you notice about the graphs of these points?

35. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 Consider these questions: -2 -3 -4 -5 -5 The Coordinate Plane • On a piece of grid paper draw lines representing the x-axis and the y-axis. • Graph : Point A(x, y) = A(2, 4) Point B(x, y) = B(2, 0) Point C(x, y) = C(2, –3) Point D(x, y) = D(2, –5) x = 2 1) What do you notice about the graphs of these points? They lie on a vertical line.

36. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 Consider these questions: -2 -3 -4 -5 -5 The Coordinate Plane • On a piece of grid paper draw lines representing the x-axis and the y-axis. • Graph : Point A(x, y) = A(2, 4) Point B(x, y) = B(2, 0) Point C(x, y) = C(2, –3) Point D(x, y) = D(2, –5) x = 2 1) What do you notice about the graphs of these points? They lie on a vertical line. 2) What do you notice about the x-coordinates of these points?

37. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 Consider these questions: -2 -3 -4 -5 -5 The Coordinate Plane • On a piece of grid paper draw lines representing the x-axis and the y-axis. • Graph : Point A(x, y) = A(2, 4) Point B(x, y) = B(2, 0) Point C(x, y) = C(2, –3) Point D(x, y) = D(2, –5) x = 2 1) What do you notice about the graphs of these points? They lie on a vertical line. 2) What do you notice about the x-coordinates of these points? They are the same number.

38. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane • On a piece of grid paper draw lines representing the x-axis and the y-axis. • Graph : Point A(x, y) = A(2, 4) Point B(x, y) = B(2, 0) Point C(x, y) = C(2, –3) Point D(x, y) = D(2, –5) Write a general statement about ordered pairs that have the same x-coordinate.

39. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane • On a piece of grid paper draw lines representing the x-axis and the y-axis. • Graph : Point A(x, y) = A(2, 4) Point B(x, y) = B(2, 0) Point C(x, y) = C(2, –3) Point D(x, y) = D(2, –5) x = 2 Write a general statement about ordered pairs that have the same x-coordinate.

40. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane On the same coordinate plane • Graph : Point W(x, y) = W(–4, –4) Point X(x, y) = X(–2, –4) Point Y(x, y) = Y(0, –4) Point Z(x, y) = Z(3, –4)

41. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane On the same coordinate plane • Graph : Point W(x, y) = W(–4, –4) Point X(x, y) = X(–2, –4) Point Y(x, y) = Y(0, –4) Point Z(x, y) = Z(3, –4)

42. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 Consider these questions: -2 -3 -4 -5 -5 The Coordinate Plane On the same coordinate plane • Graph : Point W(x, y) = W(–4, –4) Point X(x, y) = X(–2, –4) Point Y(x, y) = Y(0, –4) Point Z(x, y) = Z(3, –4) 1) What do you notice about the graphs of these points?

43. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 Consider these questions: -2 -3 -4 -5 -5 The Coordinate Plane On the same coordinate plane • Graph : Point W(x, y) = W(–4, –4) Point X(x, y) = X(–2, –4) Point Y(x, y) = Y(0, –4) Point Z(x, y) = Z(3, –4) 1) What do you notice about the graphs of these points? They lie on a horizontal line.

44. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 Consider these questions: -2 -3 -4 -5 -5 The Coordinate Plane On the same coordinate plane • Graph : Point W(x, y) = W(–4, –4) Point X(x, y) = X(–2, –4) Point Y(x, y) = Y(0, –4) Point Z(x, y) = Z(3, –4) 1) What do you notice about the graphs of these points? They lie on a horizontal line. 2) What do you notice about the y-coordinates of these points?

45. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 Consider these questions: -2 -3 -4 -5 -5 The Coordinate Plane On the same coordinate plane • Graph : Point W(x, y) = W(–4, –4) Point X(x, y) = X(–2, –4) Point Y(x, y) = Y(0, –4) Point Z(x, y) = Z(3, –4) 1) What do you notice about the graphs of these points? They lie on a horizontal line. 2) What do you notice about the y-coordinates of these points? They are the same number.

46. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane On the same coordinate plane • Graph : Point W(x, y) = W(–4, –4) Point X(x, y) = X(–2, –4) Point Y(x, y) = Y(0, –4) Point Z(x, y) = Z(3, –4) Write a general statement about ordered pairs that have the same y-coordinate.

47. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane On the same coordinate plane • Graph : Point W(x, y) = W(–4, –4) Point X(x, y) = X(–2, –4) Point Y(x, y) = Y(0, –4) Point Z(x, y) = Z(3, –4) y = – 4 Write a general statement about ordered pairs that have the same y-coordinate.

48. The Coordinate Plane

49. The Coordinate Plane x = a y = b

50. y 5 5 4 3 2 1 x -5 -5 -4 -3 -2 -1 1 2 3 4 5 5 -1 -2 -3 -4 -5 -5 The Coordinate Plane x = a y = b Graph the lines: x = –3

More Related