19. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)
(x,y) The first number (x) is the number of units to
the left or right of the origin.
20. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)
(x,y) The first number (x) is the number of units to
the left or right of the origin.
The second number (y) is the number of units up or
down from the origin.
21. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)
(x,y) The first number (x) is the number of units to
the left or right of the origin.
The second number (y) is the number of units up or
down from the origin.
Origin is always at (0,0)
22. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)
(x,y) The first number (x) is the number of units to
the left or right of the origin.
The second number (y) is the number of units up or
down from the origin.
Origin is always at (0,0)
Think:
23. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)
(x,y) The first number (x) is the number of units to
the left or right of the origin.
The second number (y) is the number of units up or
down from the origin.
Origin is always at (0,0)
Think: (x,y)
24. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)
(x,y) The first number (x) is the number of units to
the left or right of the origin.
The second number (y) is the number of units up or
down from the origin.
Origin is always at (0,0)
Think: (x,y)
25. Ordered Pair
Examples: (+4,-3) (0,+4) (-2,+4)
(x,y) The first number (x) is the number of units to
the left or right of the origin.
The second number (y) is the number of units up or
down from the origin.
Origin is always at (0,0)
Think: (x,y)
27. Coordinate Grid
The treasure is 3
y-axis
units of the left of
+5
the origin. +4
+3
( -3, y ) +2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
X -5
28. Coordinate Grid
The treasure is 3
y-axis
units of the left of
+5
the origin. +4
+3
( -3, y ) +2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
X -5
29. Coordinate Grid
The treasure is 3 The treasure is 5
y-axis
units of the left of units of the down
+5
the origin. +4 from the origin.
+3
( -3, y ) +2 ( -3, -5 )
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
X -5
30. Coordinate Grid
The treasure is 3 The treasure is 5
y-axis
units of the left of units of the down
+5
the origin. +4 from the origin.
+3
( -3, y ) +2 ( -3, -5 )
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
-2
-3
-4
X -5
32. Coordinate Grid
y-axis
+5
+4
+3
X +2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
The “X” is 4 units of -2
-3
the left of the origin.
-4
-5
(-4,y)
33. Coordinate Grid
y-axis
+5
+4
+3
X +2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
The “X” is 4 units of -2
-3
the left of the origin.
-4
-5
(-4,y)
34. Coordinate Grid
y-axis
+5
+4
+3
X +2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
The “X” is 2 units of
The “X” is 4 units of -2
-3 the up above the
the left of the origin.
-4 origin.
-5
(-4,y)
(-4,+2)
35. Coordinate Grid
y-axis
+5
+4
+3
X +2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1
The “X” is 2 units of
The “X” is 4 units of -2
-3 the up above the
the left of the origin.
-4 origin.
-5
(-4,y)
(-4,+2)
37. Coordinate Grid
(x,y)
y-axis
A
+5
+4
B +3
+2
+1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 x-axis
-1 D
-2
-3
C -4
-5
38. (x,y) Coordinate Grid
y-axis
+5
E +4
F +3
G +2
H +1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) x-axis
-1
(-5, -2) -2
(-2, +2) -3
(+3, -3) -4
Move 5 units to the
-5
left from origin.
What point is this?
39. (x,y) Coordinate Grid
y-axis
H K
+5
E +4
F N +3
G +2 E
H I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) x-axis
P -1
(-5, -2) -2 Q
(-2, +2) -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?
40. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F N +3
G +2 E
H I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) x-axis
P -1
(-5, -2) -2 Q
(-2, +2) -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?
41. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G +2 E
H I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) x-axis
P -1
(-5, -2) -2 Q
(-2, +2) -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?
42. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G (+5,0) +2 E
H I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) x-axis
P -1
(-5, -2) -2 Q
(-2, +2) -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?
43. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G (+5,0) +2 E
H (-5,+5) I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) x-axis
P -1
(-5, -2) -2 Q
(-2, +2) -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?
44. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G (+5,0) +2 E
H (-5,+5) I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) pt. K x-axis
P -1
(-5, -2) -2 Q
(-2, +2) -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?
45. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G (+5,0) +2 E
H (-5,+5) I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) pt. K x-axis
P -1
(-5, -2) pt. P -2 Q
(-2, +2) -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?
46. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G (+5,0) +2 E
H (-5,+5) I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) pt. K x-axis
P -1
(-5, -2) pt. P -2 Q
(-2, +2) pt. N -3
(+3, -3) F -4
Move 5 units to the
-5
left from origin.
What point is this?
47. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G (+5,0) +2 E
H (-5,+5) I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) pt. K x-axis
P -1
(-5, -2) pt. P -2 Q
(-2, +2) pt. N -3
(+3, -3) pt. Q F -4
Move 5 units to the
-5
left from origin.
What point is this?
48. (x,y) Coordinate Grid
y-axis
H K
+5
E (+3,+1) +4
F (-4,-5) N +3
G (+5,0) +2 E
H (-5,+5) I +1 G
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(+3, +5) pt. K x-axis
P -1
(-5, -2) pt. P -2 Q
(-2, +2) pt. N -3
(+3, -3) pt. Q F -4
Move 5 units to the
-5
left from origin.
What point is this? pt. I
49. M Coordinate Grid
N
y-axis
Q
R +5
S +4
T +3
(-2,+1) +2
(+5,+1) +1
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1
(+1,-3) -2
(+4,-5) -3
(-3,-4) -4
Move 5 units down
-5
from origin.
What point is this? pt. X
50. M Coordinate Grid
N
y-axis
Q
R +5
S +4
T S +3 M
(-2,+1) A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X
51. M (+3,+2) Coordinate Grid
N
y-axis
Q
R +5
S +4
T S +3 M
(-2,+1) A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X
52. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q
R +5
S +4
T S +3 M
(-2,+1) A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X
53. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R +5
S +4
T S +3 M
(-2,+1) A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X
54. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S +4
T S +3 M
(-2,+1) A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X
55. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T S +3 M
(-2,+1) A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X
56. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T (-3,-4) S +3 M
(-2,+1) A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X
57. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T (-3,-4) S +3 M
(-2,+1) pt. A A +2 B
(+5,+1) +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X
58. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T (-3,-4) S +3 M
(-2,+1) pt. A A +2 B
(+5,+1) pt. B +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X
59. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T (-3,-4) S +3 M
(-2,+1) pt. A A +2 B
(+5,+1) pt. B +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) pt. X x-axis
-1 R
(+1,-3) -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X
60. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T (-3,-4) S +3 M
(-2,+1) pt. A A +2 B
(+5,+1) pt. B +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) pt. X x-axis
-1 R
(+1,-3) pt. D -2 D
(+4,-5) Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X
61. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T (-3,-4) S +3 M
(-2,+1) pt. A A +2 B
(+5,+1) pt. B +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) pt. X x-axis
-1 R
(+1,-3) pt. D -2 D
(+4,-5) pt. P Q T -3
(-3,-4) -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X
62. M (+3,+2) Coordinate Grid
N (0,0)
y-axis
Q (-5,-4)
R (+4,-2) +5
S (-5,+2) +4
T (-3,-4) S +3 M
(-2,+1) pt. A A +2 B
(+5,+1) pt. B +1 N
-5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5
(0,+5) pt. X x-axis
-1 R
(+1,-3) pt. D -2 D
(+4,-5) pt. P Q T -3
(-3,-4) pt. T -4 X P
Move 5 units down
-5
from origin.
What point is this? pt. X
66. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
-1
-2
-3
67. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
68. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
69. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
(-3,0) negative x moves it left
70. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
(-3,0) negative x moves it left
71. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
72. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
(+3,0) positive x moves it right
73. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
(+3,0) positive x moves it right
74. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
75. Review
(0,-3) negative y moves it down
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
76. Review
(0,-3) negative y moves it down
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
77. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
78. Review
(0,+3) positive y moves it up
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
79. Review
(0,+3) positive y moves it up
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down
80. Review
Ordered pairs (x,y)
The “x” determines which +3
direction? +2
+1
Left or Right -3 -2 -1 0 +1 +2 +3
The “y” determines which -1
direction? -2
-3
Up or Down