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DESK!
Bellwork Nov. 14, 2011
Graph each integer and its opposite on a
number line.
1. 4
2. –7
3. –2
–8–7–6 –5–4 –3 –2 –1 0 1 2 3 4 5 6 7 8
Graph the integers on a number line.
4. 7, –2, 0, 3, –5
–8–7–6 –5–4 –3 –2 –1 0 1 2 3 4 5 6 7 8
WHAT AM I??
axis
Cartesian Plane
quadrant
y
origin
ordered pairs
relationship
COORDINATE
PLANE
number lines
graph
point
x
Rene Descartes
4-1: The Coordinate
Plane
pg. 224
Essential Question
How
are positive and
negative rational
numbers used on a
coordinate plane?
Coordinate Plane Brain-Pop

Write down 2 facts about the coordinate
plane.
2 facts about coordinate planes:
1.
2.
Definitions:




coordinate plane- a plane containing a
horizontal number line, the x-axis, and a
vertical number line, the y-axis
x-axis- a horizontal number line
y-axis- a vertical number line
origin- where the x-axis and y-axis
intersect
Label the
coordinate plane.
y y-axis
5
4
3
x-axis
2
1
–5 –4 –3 –2 –1 0
–1
–2
–3
–4
–5
x
1
2
3
Origin
4
5
quadrant- any of the 4 equal areas made by dividing a
plane by an x and y axis
y
5
4
Quadrant II 3
(-, +)
2
Quadrant I
(+, +)
1
–5
–4 –3
–2
–1 0
–1
x
1
2
3
4
5
–2
Quadrant III
(- , -)
–3
–4
–5
Quadrant IV
(+, - )
Example 1
Identify the quadrant that contains each point.
A. S
quadrant IV.
B. T
quadrant I.
C. W
y-axis between
Quadrants I and II
5
4
3
2
y
W
T
1
0
–5 –4 –3 –2 –1
–1
–2
–3
–4
–5
x
1 2 3
4 5
S
Example 2
Identify the quadrant that contains each point.
5
A. N
quadrant II.
B. X
quadrant III.
C. Y
origin.
N
y
4
3
2
1
0
–5 –4 –3 –2 –1
–1
–2
X
–3
–4
–5
Y
x
1 2 3
4 5

ordered pair- Two numbers written to show the position on a graph,
where the "x" (horizontal) value is first, and the "y" (vertical) value is second.
They are written in parenthesis like (4,5) (EXAMPLE).
Ordered pair
(3, 2)
5
y
4
3
x-coordinate
y-coordinate
Units right
or left from 0
Units up or
down from 0
2
–5 –4 –3 –2 –1
–1
HINT: You have to
run before you
climb.
2 units
up
x
1
–2
–3
–4
–5
0
1
2
3
3 units
right
4
5
Example 3
Plot each point on a
coordinate plane.
5
A. D (3, 3)
Start at the origin. Move
3 units right and 3 units up.
B. E (–2, –3)
4
3
2
y
D
1
0
–5 –4 –3 –2 –1
–1
–2
Start at the origin. Move
2 units left and 3 units down.
C. F (3, –5)
Start at the origin. Move
3 units right and 5 units down.
x
1 2 3
4 5
E–3
–4
–5
F
Example 4
Plot each point on a
coordinate plane.
A. D (4, 4)
Start at the origin. Move
4 units right and 4 units up.
B. E (–2, 3)
Start at the origin. Move
2 units left and 3 units up.
C. F (–1, –2)
Start at the origin. Move
1 unit left and 2 units down.
5
E
y
4
3
D
2
1
0
–5 –4 –3 –2 –1
–1
–2
F
–3
–4
–5
x
1 2 3
4 5
Example 5
Give the coordinates
of each point.
A. X
(–2, 5)
Start at the origin. Point X
is 2 units left and 5 units up.
B. Y
(–1, 0)
5
X
y
4
3
2
Y
1
0
–5 –4 –3 –2 –1
–1
–2
x
1 2 3
4 5
Start at the origin. Point Y is
–3
one unit left on the x-axis.
Z
–4
–5
C. Z
(3, –3)
Start at the origin. Point Z is 3 units right and 3
units down.
Example 6
Give the coordinates
of each point.
A. L
(–4, 3)
Start at the origin. Point L
is 4 units left and 3 units up.
B. M
(–2, –2)
5
4
3
L
y
N
2
1
0
–5 –4 –3 –2 –1
–1
–2
M
x
1 2 3
–3
Start at the origin. Point M is
–4
2 units left and 2 units down.
–5
C. N
(3, 4)
Start at the origin. Point N is 3 units right and 4
units up.
4 5
Practice
II
IV
III
I
(6, -3)
(-3, 2)
(-4, 0)
(5, 0)
Connect the points WS
Plot and connect the points.
 Color in the shape when you finish.

Graded Practice
Homework
Workbook
Page
36
All problems
Closing
Give the coordinates of each point and identify
the quadrant that contains each point
A
1. A (–2, 4); II
2. B (3, –2); IV
3. C (2, 3); I
Plot each point on a
coordinate plane.
4. D (2, –3)
5. E (–4, –2)
5
4
3
y
C
2
1
0
–5 –4 –3 –2 –1
–1
–2
E
–3
–4
–5
x
1 2 3
D
4 5
B
6. To plot (7, –2) a student started at (0, 0) and
moved 7 units left and 2 units down. What did
the student do wrong?
He should have moved 7 units right.