1. 5 Minute Check
Complete with <, >, or = as needed. 2 1
Order from least to greatest.
3. { 2.8, 2 4, 38, 2.2}
2 4
4. { -0.6, 0.65, 3, 5}

2. 5 Minute Check
Complete with <, >, or = as needed. 2

3. 5 Minute Check
Complete with <, >, or = as needed. 2
<
9 7 = 9.2
0.2
7)2.0
-14 6

4. 5 Minute Check
Complete with <, >, or = as needed. 1

5. 5 Minute Check -6 3 = -6.3 2. -6 3 > -6.375
Complete with <, >, or = as needed. 1
>
-6 3 = -6.3
3 = .3

6. 5 Minute Check 3. { 2.8, 2 4, 38, 2.2} Order from least to greatest.
3. { 2.8, 2 4, 38, 2.2}

7. 5 Minute Check
Order from least to greatest.
3. { 2.8, 2 4, 38, 2.2}
{2.2, 2 4, 2.8, 38}

8. 5 Minute Check 4. { -0.6, 0.65, 3, 5} Order from least to greatest.
2 4
4. { -0.6, 0.65, 3, 5}

9. 5 Minute Check
Order from least to greatest.
2 4
4. { -0.6, 0.65, 3, 5}
2 4
{-0.6, 0.65, 3, 5}

10. Describe the location of the barber shop in relation to the town hall.

11. Describe the location of the barber shop in relation to the town hall
Describe the location of the barber shop in relation to the town hall. The barber shop is 5 blocks east of the town hall.

12. What building is located 7 blocks east and 5 blocks north of the town hall?

13. What building is located 7 blocks east and 5 blocks north of the town hall? The fire house.

14. Violet is at the library
Violet is at the library. Describe how many blocks and in what direction she should travel to get to the supermarket.

15. Violet is at the library
Violet is at the library. Describe how many blocks and in what direction she should travel to get to the supermarket. 3 blocks south and 3 blocks east

16. Town Hall and the bank are both located on the same vertical number line. The number 0 represents the location of Town Hall on the number line. What number represents the location of the bank?

17. Town Hall and the bank are both located on the same vertical number line. The number 0 represents the location of Town Hall on the number line. What number represents the location of the bank? 4

18. Lesson 6.5.6 The Coordinate Plane
Friday, Oct 24
Lesson The Coordinate Plane

19. The Coordinate Plane
Objective: To understand how to locate ordered pairs on the coordinate plane.

20. The Coordinate Plane
A coordinate plane is a grid with a vertical y-axis and horizontal x-axis.
y-axis
x-axis

21. The Coordinate Plane
A coordinate plane is just two number lines, one horizontal and one vertical.
number line

22. The center of the coordinate plane is called the origin.
y-axis
origin
x-axis

23. The coordinate plane is divided into four quadrants.
Quadrant II y-axis Quadrant I
origin
x-axis
Quadrant III Quadrant IV

24. The Coordinate Plane
When an ordered pair is located on an axis, it is not in a quadrant.

25. The Coordinate Plane
Sometimes the coordinate plane may be called a Cartesian plane because it was invented by 17th century French mathematician Rene Descartes.

26. The Coordinate Plane
You can use an ordered pair (x,y) to locate any point on the plane.

27. The Coordinate Plane
You can use an ordered pair (x,y) to locate any point on the plane. The first number in an ordered pair is the x-coordinate.

28. The Coordinate Plane
You can use an ordered pair (x,y) to locate any point on the plane. The first number in an ordered pair is the x-coordinate. The second number in an ordered pair is the y-coordinate.

29. The Coordinate Plane
(5,2) would be 5 spaces on the x-axis and 2 spaces on the y-axis. (5,2)

30. The Coordinate Plane
Identify the ordered pair that names the point.

31. Identify the ordered pair that names the point.
The Coordinate Plane
Identify the ordered pair that names the point.
First, start at the origin
and move along the
x-axis until the point is
directly above. Three
spaces to the right equal
+3.

32. Identify the ordered pair that names the point.
The Coordinate Plane
Identify the ordered pair that names the point.
Next, move directly to the
point. Fives spaces up
equals +5.

33. Identify the ordered pair that names the point.
The Coordinate Plane
Identify the ordered pair that names the point.
The point is (+3, +5) or
(3, 5)

34. Identify the ordered pair that names the point.
The Coordinate Plane
Identify the ordered pair that names the point.
The point is (+3, +5) or
(3, 5)
What quadrant is the
point in?

35. Identify the ordered pair that names the point.
The Coordinate Plane
Identify the ordered pair that names the point.
The point is (+3, +5) or
(3, 5)
What quadrant is the
point in?
Quadrant I

36. The Coordinate Plane
Name the ordered pair and quadrant.

37. Name the ordered pair and quadrant. (5,-4), QIV
The Coordinate Plane
Name the ordered pair and quadrant. (5,-4), QIV
(5, -4)

38. The Coordinate Plane
Name the ordered pair and quadrant.

39. Name the ordered pair and quadrant. (-4, 3), QII
The Coordinate Plane
Name the ordered pair and quadrant. (-4, 3), QII
(-4,3)

40. The Coordinate Plane
Name the ordered pair and quadrant.

41. Name the ordered pair and quadrant. (-5, 5), QII
The Coordinate Plane
Name the ordered pair and quadrant. (-5, 5), QII
(-5,5)

42. The Coordinate Plane
Name the ordered pair and quadrant.

43. Name the ordered pair and quadrant. (-3,-1), QIII
The Coordinate Plane
Name the ordered pair and quadrant. (-3,-1), QIII
(-3,-1)

44. The Coordinate Plane
Name the ordered pair and quadrant.

45. Name the ordered pair and quadrant. (2,0), No Q
The Coordinate Plane
Name the ordered pair and quadrant. (2,0), No Q
(2,0)

46. The Coordinate Plane
We can use what we know about the number line and opposites to compare locations on the coordinate plane.

47. The Coordinate Plane
E.g. The number line shows -4 and 4 are opposites.

48. The Coordinate Plane
The coordinate plane shows that (-4,0) and (4,0) are also opposites, as they are the same distance from the y-axis in opposite directions.
(-4,0)
(4,0)

49. The Coordinate Plane
So they are reflected across the y-axis. Notice the y-coordinate did not change and the x-coordinates are opposites.
(-4,0)
(4,0)

50. The Coordinate Plane
Reflection Symmetry (sometimes called Line Symmetry or Mirror Symmetry) is when an object is reflected across a line, like looking in a mirror.

51. The Coordinate Plane
An example of an object having reflection symmetry.

52. The Coordinate Plane
When graphing the reflection, the coordinate of the axis of reflection stays the same and the other coordinate will be the opposite.

53. The Coordinate Plane
Name the ordered pair that is a reflection of (-3,2) across the x-axis. What is the axis of reflection?
(-3,2)

54. The Coordinate Plane
Name the ordered pair that is a reflection of (-3,2) across the x-axis. What is the axis of reflection? x-axis
(-3,2)

55. The Coordinate Plane
Name the ordered pair that is a reflection of (-3,2) across the x-axis. In the ordered pair, which is the x- coordinate coordinate?
(-3,2)

56. The Coordinate Plane
Name the ordered pair that is a reflection of (-3,2) across the x-axis. In the ordered pair, which is the x- coordinate coordinate? -3
(-3,2)

57. The Coordinate Plane
Name the ordered pair that is a reflection of (-3,2) across the x-axis. What is the opposite of the other number?
(-3,2)

58. The Coordinate Plane
Name the ordered pair that is a reflection of (-3,2) across the x-axis. What is the opposite of the other number? -2
(-3,2)

59. The Coordinate Plane
Name the ordered pair that is a reflection of (-3,2) across the x-axis. What is the ordered pair of the reflection across the x-axis?
(-3,2)

60. The Coordinate Plane
Name the ordered pair that is a reflection of (-3,2) across the x-axis. The reflection of (-3,2) across the x-axis is (-3, -2).
(-3,2)
(-3,-2)

61. The Coordinate Plane
Name the ordered pair that is a reflection of (1,-4) across the x-axis. Do this on your own.

62. The Coordinate Plane
Name the ordered pair that is a reflection of (1,-4) across the x-axis. The reflection of (1,-4) across the x-axis is (1, 4).
(1,4)
(1, -4)

63. The Coordinate Plane
Name the ordered pair that is a reflection of (-3,-1) across the y-axis.

64. The Coordinate Plane
Name the ordered pair that is a reflection of (-3,-1) across the y-axis. The reflection of (-3,-1) across the y-axis is (3, -1).
(-3,-1)
(3, -1)

65. The Coordinate Plane
Name the ordered pair that is a reflection of (6,-1) across the y-axis.

66. The Coordinate Plane
Name the ordered pair that is a reflection of (6,-1) across the y-axis. The reflection of (6,-1) across the y-axis is (-6, -1).
(-6, -1)
(6,-1)

67. The Coordinate Plane
Name the ordered pair that is a reflection of (0,0) across the y-axis.

68. The Coordinate Plane
Name the ordered pair that is a reflection of (0,0) across the y-axis. There is no reflection of (0,0)
(0,0)

69. The Coordinate Plane
Kendall is building a square fence. She places the fence posts at the locations indicated on the grid. What is the location of the post that reflects (-4,4) across the y-axis? Do this on your own.

70. The Coordinate Plane
Kendall is building a square fence. She places the fence posts at the locations indicated on the grid. What is the location of the post that reflects (-4,4) across the y-axis? (4,4)

71. The Coordinate Plane
Without graphing, identify the quadrant(s) for which each of the following statements is true for any point (x,y). Justify your answer. The x- and y- coordinate have the same sign.

72. The Coordinate Plane
Without graphing, identify the quadrant(s) for which each of the following statements is true for any point (x,y). Justify your answer. The x- and y- coordinate have the same sign. Q I and QIII; QI both coordinates are positive and in QIII both are negative.

73. The Coordinate Plane
Without graphing, identify the quadrant(s) for which each of the following statements is true for any point (x,y). Justify your answer. The x- and y- coordinate have opposite signs.

74. The Coordinate Plane
Without graphing, identify the quadrant(s) for which each of the following statements is true for any point (x,y). Justify your answer. The x- and y- coordinate have opposite signs. Q II and QIV; QII and QIV both coordinates have opposite signs.

75. The Coordinate Plane
Agenda Notes Homework – Homework Practice Due at the end of class Show all work. Chapter 6.5 Test -Wednesday, Oct 29 Accum Rev 5 due by Oct 29