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Coordinates
X
X’
Y
Y’
O
Origin
1 2 3 4
+ve direction
-1
-2
-3
-4
-ve direction
-1
-2
-3
-ve
direction
1
2
3
+ve
direction
X-axis : X’OX
Y-axis : Y’OY
Coordinates
X
X’
Y
Y’
O
1 2 3 4
-1
-2
-3
-4
-1
-2
-3
1
2
3
(2,1)
(-3,-2)
Ordinate
Abcissa
(?,?)
Coordinates
X
X’
Y
Y’
O
1 2 3 4
-1
-2
-3
-4
-1
-2
-3
1
2
3
(2,1)
(-3,-2)
Ordinate
Abcissa
(4,?)
Coordinates
X
X’
Y
Y’
O
1 2 3 4
-1
-2
-3
-4
-1
-2
-3
1
2
3
(2,1)
(-3,-2)
Ordinate
Abcissa
(4,-2.5)
Quadrants
X
X’ O
Y
Y’
I
II
III IV
(+,+)
(-,+)
(-,-) (+,-)
Quadrants
X
X’ O
Y
Y’
I
II
III IV
(+,+)
(-,+)
(-,-) (+,-)
Q : (1,0) lies in which Quadrant?
Ist? IInd?
A : None. Points which lie on the axes do not lie in any
quadrant.
Copyright © 2000 by Monica Yuskaitis
Definition
• x axis – a horizontal number line
on a coordinate grid.
1 2 3 4 5
0 6
x
Copyright © 2000 by Monica Yuskaitis
Hint
• x is the shortest and likes to lie
down horizontally.
1 2 3 4 5
0 6
x
Copyright © 2000 by Monica Yuskaitis
Definition
• y axis – a vertical number line on
a coordinate grid.
1
2
3
4
5
0
6
y
Copyright © 2000 by Monica Yuskaitis
Hint
• y is the tallest and stands upright or
vertically.
1
2
3
4
5
0
6
y
Copyright © 2000 by Monica Yuskaitis
How to Plot Ordered Pairs
• Step 1 – Always find the x value first,
moving horizontally either right
(positive) or left (negative).
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(2, 3)
y
x
Copyright © 2000 by Monica Yuskaitis
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).
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(2, 3)
(2,3)
y
x
Copyright © 2000 by Monica Yuskaitis
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).
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(5, )
y
x
Copyright © 2000 by Monica Yuskaitis
How to Find Ordered Pairs
• Step 2 – Now count how far vertically
the point is by counting up (positive)
or down (negative).
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(5,4)
y
x
Copyright © 2000 by Monica Yuskaitis
What is the ordered pair?
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(3,5)
y
x
Copyright © 2000 by Monica Yuskaitis
What is the ordered pair?
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(2,6)
y
x

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p.p.t on graphs.ppt

  • 1. Coordinates X X’ Y Y’ O Origin 1 2 3 4 +ve direction -1 -2 -3 -4 -ve direction -1 -2 -3 -ve direction 1 2 3 +ve direction X-axis : X’OX Y-axis : Y’OY
  • 2. Coordinates X X’ Y Y’ O 1 2 3 4 -1 -2 -3 -4 -1 -2 -3 1 2 3 (2,1) (-3,-2) Ordinate Abcissa (?,?)
  • 3. Coordinates X X’ Y Y’ O 1 2 3 4 -1 -2 -3 -4 -1 -2 -3 1 2 3 (2,1) (-3,-2) Ordinate Abcissa (4,?)
  • 4. Coordinates X X’ Y Y’ O 1 2 3 4 -1 -2 -3 -4 -1 -2 -3 1 2 3 (2,1) (-3,-2) Ordinate Abcissa (4,-2.5)
  • 6. Quadrants X X’ O Y Y’ I II III IV (+,+) (-,+) (-,-) (+,-) Q : (1,0) lies in which Quadrant? Ist? IInd? A : None. Points which lie on the axes do not lie in any quadrant.
  • 7. Copyright © 2000 by Monica Yuskaitis Definition • x axis – a horizontal number line on a coordinate grid. 1 2 3 4 5 0 6 x
  • 8. Copyright © 2000 by Monica Yuskaitis Hint • x is the shortest and likes to lie down horizontally. 1 2 3 4 5 0 6 x
  • 9. Copyright © 2000 by Monica Yuskaitis Definition • y axis – a vertical number line on a coordinate grid. 1 2 3 4 5 0 6 y
  • 10. Copyright © 2000 by Monica Yuskaitis Hint • y is the tallest and stands upright or vertically. 1 2 3 4 5 0 6 y
  • 11. Copyright © 2000 by Monica Yuskaitis How to Plot Ordered Pairs • Step 1 – Always find the x value first, moving horizontally either right (positive) or left (negative). 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (2, 3) y x
  • 12. Copyright © 2000 by Monica Yuskaitis 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). 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (2, 3) (2,3) y x
  • 13. Copyright © 2000 by Monica Yuskaitis 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). 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (5, ) y x
  • 14. Copyright © 2000 by Monica Yuskaitis How to Find Ordered Pairs • Step 2 – Now count how far vertically the point is by counting up (positive) or down (negative). 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (5,4) y x
  • 15. Copyright © 2000 by Monica Yuskaitis What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (3,5) y x
  • 16. Copyright © 2000 by Monica Yuskaitis What is the ordered pair? 1 3 2 4 5 0 6 1 2 3 4 5 0 6 (2,6) y x