plotting cordinates-cordinate plane, plotting coordinates of points.ppt

Definition
• Grid – A pattern of horizontal
and vertical lines, usually
forming squares.

Definition
• Coordinate grid – a grid used to
locate a point by its distances from
2 intersecting straight lines.
1
3
2
4
5
6
1 2 3 4 5
0 6

Definition
• x axis – a horizontal number
line on a coordinate grid.
1 2 3 4 5
0 6
x

Hint
• x ‘is a cross’
(across )
1 2 3 4 5
0 6
x

Definition
• y axis – a vertical number line
on a coordinate grid.
1
2
3
4
5
0
6
y

Definition
• Coordinates – an ordered pair
of numbers that give the location
of a point on a grid. (3, 4)
1
2
3
4
5
0
6
1 2 3 4 5
0 6
(3,4)

Hint
• The first number is always the x or first letter in
the alphabet. The second number is always
the y the second letter in the alphabet.
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(3,4)

How to Plot Ordered Pairs
• Step 1 – Always find the x value
first, moving horizontally
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(2, 3)
y
x

How to Plot Ordered Pairs
• Step 2 – Starting from your new
position find the y value by moving
vertically
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(2, 3)
(2,3)
y
x

How to Find Ordered Pairs
• Step 1 – Find how far over
horizontally the point is by counting to
the right
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(5, 4)
y
x

How to Find Ordered Pairs
• Step 2 – Now count how far
vertically the point is by counting
up
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(5,4)
y
x

What is the ordered pair?
1
3
2
4
5
0
6
1 2 3 4 5
0 6
(3,5)
y
x

1
3
2
4
5
0
6
1 2 3 4 5
0 6
(2,6)
y
x

1
3
2
4
5
0
6
1 2 3 4 5
0 6
(4,0)
y
x

1
3
2
4
5
0
6
1 2 3 4 5
0 6
(0,5)
y
x

1
3
2
4
5
0
6
1 2 3 4 5
0 6
(1,1)
y
x

Co-ordinates are used
to identify where a
point can be found.
They are written in
brackets. The first
number is how many
squares along, the
second number is how
many squares up!
1 2 3 4 5 6 7 8
8
7
6
5
4
3
2
1
0
The co-ordinates of
this cross are (3,3)
The co-ordinates of this point are (5,6)
Using Co-ordinates

www.visuallessons.com
Plotting Co-ordinates
0 1 2 3 4 5 6 7 8 9 10 11
1
2
3
4
5
6
7
8
0
(4,2)
(3,4)
(5,6)
(2,6)
(6,3)
(7,5)
(9,2)
(9,4)
(10,6)
(1,2)

1 2 3 4 5 6 7
8
7
6
5
4
3
2
1
0 8
(5,1)
(8,5)
(7,1)
What are the co-ordinates of
each corner of these shapes?
(1,7)
(1,4) (3,4)
(4,5)

1 2 3 4 5 6 7 8
8
7
6
5
4
3
2
1
0
Plot these points on
the graph paper: Click
a co-ordinate to plot
the corner.
What shape does
it make?
(2,3) (6,3) (2,7) (6,7)
Draw
Shape

A (2, 3) B (6, 3)
C (2, 8) (6, 8)
This shape is a square.
What are the co-ordinates of D?
This is an equilateral triangle.
What are the co-ordinates of F?
E (6, 10)
G (10, 4)
F (2, 4)
D

Four Quadrants Grid
• When the number lines are extended into the
negative number lines you add 3 more
quadrants to the coordinate grid.
-2
0
-1
1
2
-3
3
-2 -1 1 2
-3 3
y
x

Four Quadrants Grid
• If the x is negative you move to the left of the 0.
.
-2
0
-1
1
2
-3
3
-2 -1 1 2
-3 3
y
x
x = -2

Four Quadrants Grid
• If the y is negative you move down below the zero.
.
-2
0
-1
1
2
-3
3
-2 -1 1 2
-3 3
y
x
y = -3

How to Plot in 4 Quadrants
• Step 1 - Plot the x number first moving to
the left when the number is negative..
-2
0
-1
1
2
-3
3
-2 -1 1 2
-3 3
y
x
(-3, -2)
(-3, -2)

• Step 2 - Plot the y number moving from your
new position down 2 when the number is
negative.
-2
0
-1
1
2
-3
3
-2 -1 1 2
-3 3
y
x
(-3, -2)
(-3, -2)

• When x is positive and y is negative, plot
the ordered pair in this manner.
-2
0
-1
1
2
-3
3
-2 -1 1 2
-3 3
y
x
(2, -2)
(2, -2)

• When x is negative and y is positive, plot
the ordered pair in this manner.
-2
0
-1
1
2
-3
3
-2 -1 1 2
-3 3
y
x
(-2, 2)
(-2, 2)

Plot This Ordered Pair
-2
0
-1
1
2
-3
3
-2 -1 0 1 2
-3 3
(-3, -3)
(-3, -3)
y
x

2 4 6 8 10
-10 -8 -6 -4 -2
0
2
6
8
4
-2
-4
-6
Co-ordinates in all 4 quadrants
I
II
III IV
This is the first quadrant.
(+ , +)
This is the second
quadrant.
(+,-)
This is the third
quadrant.
(-,-)
This is the fourth
quadrant.
(+,-)

2 4 6 8 10
-10 -8 -6 -4 -2
0
2
6
8
4
-2
-4
-6
(-4, 6)
(-2, 2)
(-6, 2)
Can you work out the co-ordinates of each corner of the
4 triangles?
(4, 6)
(6, 2)
(2, 2)
(-6, -2)
(-8, -6)
(-4, -6)
(8, -2)
(10,-6)
(6, -6)

2 4 6 8 10
-10 -8 -6 -4 -2
0
2
6
8
4
-2
-4
-6
-8
1st
Letter: (-8, 2), (-8, 6),
(-10, 6), (-6, 6)
2nd
Letter: (8,2), (4,2),
(4, 6), (8, 6), (6,4), (4,4)
3rd
Letter: (8,-6), (6,-2),
(4,-6), (5, -4), (7,-4)
4th
Letter: (-10, -8), (-10, -4), (-8, -6),
(-6, -4), (-6, -8)
Plot these points and join them (in order) to reveal a 4 letter word.

Mr D. Pay
34
0 1 2 3 4 5 6 7 8 9 10
-9 -8 -7 -6 -5 -4 -3 -2 -1
-10 x
y
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Coordinates Keywords & Rules
FIRST
QUADRANT
Y Axis and
positioning
vertical
Use brackets
(?,?) and
remember
X first
Y next
ORIGIN
(4,8)
SECOND
QUADRANT
THIRD
QUADRANT
FOURTH
QUADRANT
X Axis and
positioning
horizontal

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