Transcript Coordinate Geometry

What is a Grid ?
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.
A
B
C
D
E
What are
the
coordinates
for the
house?
1 2 3 4 5
Definition
 X - Axis. A horizontal number
line on a coordinate grid.
0 1 2 3 4 5 6
x
Hint
X is the shortest and likes to
lie down horizontally.
0 1 2 3 4 5 6
x
Definition
 Y – Axis. A vertical number
line on a coordinate grid.
y
6
5
4
3
2
1
0
Hint
y
 Y is the
tallest and
stands
upright or
vertically.
6
5
4
3
2
1
0
Definition
 Coordinates. An ordered pair of numbers that give
the location of a point on a grid. (3, 4)
6
5
(3,4)
4
3
2
1
00 1 2 3 4 5 6
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.
6
5
(3,4)
4
3
2
1
00 1 2 3 4 5 6
How to Plot Ordered Pairs
 Step 1. Always find the X value first, moving
horizontally either right (positive) or left (negative).
y
(2, 3)
6
5
4
3
2
1
00 1 2 3 4 5 6
x
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).
y
(2, 3)
6
5
4
(2,3)
3
2
1
00 1 2 3 4 5 6x
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).
y
(5, )
6
5
4
3
2
1
x
00 1 2 3 4 5 6
How to Find Ordered Pairs
 Step 2. Now count how far vertically the point
is by counting up (positive) or down (negative).
y
(5,4)
6
5
4
3
2
1
x
00 1 2 3 4 5 6
What is the ordered pair?
y
(3,5)
6
5
4
3
2
1
x
00 1 2 3 4 5 6
What is the ordered pair?
y
(2,6)
6
5
4
3
2
1
x
00 1 2 3 4 5 6
What is the ordered pair?
y
(4,0)
6
5
4
3
2
1
00 1 2 3 4 5 6x
Four Quadrants of
Coordinate Grid
 When
the number lines are
extended into the negative
number lines you add 3 more
quadrants to the coordinate
grid.
Four Quadrants of Coordinate
Grid
y
3
2
1
0
x
-1
-2
-3
-3 -2 -1 0 1 2 3
Four Quadrants of
Coordinate Grid
 If the X is negative you move
to the left of the 0.
x = -2
y
3
2
1
0
-1
-2
-3
-3 -2 -1 0 1 2 3
x
Four Quadrants of
Coordinate Grid
 If the Y is negative you move down
below the zero.
y = -3
y
3
2
1
x
0
-1
-2
-3
-3 -2 -1 0 1 2 3
How to Plot in 4 Quadrants
 Step 1. Plot the X number first moving to the left
when the number is negative.
y
3
2
1
x
0
-1
(-3, -2) -2
-3
-3 -2 -1 0 1 2 3
How to Plot in 4 Quadrants
 Step 2. - Plot the Y number moving from
your new position down 2 when the number
is negative.
y
3
2
1
x
0
-1
-2
(-3, -2)
-3
-3 -2 -1 0 1 2 3
How to Plot in 4 Quadrants
 When X is positive and Y is negative, plot
the ordered pair in this manner.
y
3
2
1
x
0
-1
(2, -2) -2
-3
-3 -2 -1 0 1 2 3
How to Plot in 4 Quadrants
 When x is negative and y is positive, plot
the ordered pair in this manner.
y
(-2, 2)
3
2
1
x
0
-1
-2
-3
-3 -2 -1 0 1 2 3
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