1. Graph each integer and its opposite on a number line.
HAVE HOMEWORK ON DESK!
Bellwork Nov. 14, 2011
Graph each integer and its opposite on a number line.
– –2
–8–7–6 –5–4 –3 –2 –1 0
Graph the integers on a number line.
4. 7, –2, 0, 3, –5
–8–7–6 –5–4 –3 –2 –1 0

2. WHAT AM I??
axis
Cartesian Plane
quadrant y
origin
COORDINATE
PLANE
number lines
ordered pairs
graph
relationship
point x
Rene Descartes

3. 4-1: The Coordinate Plane pg. 224

4. Essential Question
How are positive and negative rational numbers used on a coordinate plane?

5. Coordinate Plane Brain-Pop
Write down 2 facts about the coordinate plane.
2 facts about coordinate planes: 1. 2.

6. 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

7. Label the coordinate plane. y-axis 54 3 2
x-axis 1 x –5 –4 –3 –2 –1 2
Origin 1 3 4 5 –1 –2 –3 –4 –5

8. quadrant- any of the 4 equal areas made by dividing a plane by an x and y axis5 4
Quadrant II
(-, +)
Quadrant I
(+, +) 3 2 1 –5 –4 –3 –2 –1 1 2 3 4 5 –1 –2
Quadrant III
(- , -)
Quadrant IV
(+, - ) –3 –4 –5

9. Example 1 Identify the quadrant that contains each point. A. S W–2 2 –4 4 –1 –3 –5 5 3 1
A. S W
quadrant IV. T
B. T
quadrant I.
C. W S
y-axis between
Quadrants I and II

10. Example 2 Identify the quadrant that contains each point. A. N N–2 2 –4 4 –1 –3 –5 5 3 1
A. N N
quadrant II.
B. X Y
quadrant III.
C. Y
origin. X

11. HINT: You have to run before you climb.
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). x y –2 2 –4 4 –1 –3 –5 5 3 1
Ordered pair
(3, 2)
x-coordinate
y-coordinate
2 units up
Units right
or left from 0
Units up or
down from 0
3 units
right
HINT: You have to run before you climb.

12. Example 3 Plot each point on a coordinate plane. A. D (3, 3) Dy –2 2 –4 4 –1 –3 –5 5 3 1
A. D (3, 3) D
Start at the origin. Move
3 units right and 3 units up.
B. E (–2, –3)
Start at the origin. Move
2 units left and 3 units down. E F
C. F (3, –5)
Start at the origin. Move
3 units right and 5 units down.

13. Example 4 Plot each point on a coordinate plane. A. D (4, 4) E Dy –2 2 –4 4 –1 –3 –5 5 3 1
A. D (4, 4) E D
Start at the origin. Move
4 units right and 4 units up.
B. E (–2, 3) F
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.

14. Example 5 Give the coordinates of each point. A. X (–2, 5) Xy –2 2 –4 4 –1 –3 –5 5 3 1
A. X
(–2, 5) X
Start at the origin. Point X
is 2 units left and 5 units up. Y
B. Y
(–1, 0)
Start at the origin. Point Y is
one unit left on the x-axis. Z
C. Z
(3, –3)
Start at the origin. Point Z is 3 units right and 3
units down.

15. Example 6 Give the coordinates of each point. A. L (–4, 3) N Ly –2 2 –4 4 –1 –3 –5 5 3 1
A. L
(–4, 3) N L
Start at the origin. Point L
is 4 units left and 3 units up.
B. M
(–2, –2) M
Start at the origin. Point M is
2 units left and 2 units down.
C. N
(3, 4)
Start at the origin. Point N is 3 units right and 4
units up.

16. Practice II IV
III I
(-3, 2)
(6, -3)
(5, 0)
(-4, 0)

17. Connect the points WS Plot and connect the points.
Color in the shape when you finish.

18. Graded Practice

19. Homework
Workbook
Page 36
All problems

20. Closing
Give the coordinates of each point and identify the quadrant that contains each point x y –2 2 –4 4 –1 –3 –5 5 3 1
1. A
(–2, 4); II A C
2. B
(3, –2); IV
3. C
(2, 3); I
Plot each point on a
coordinate plane. E B
4. D (2, –3) D
5. E (–4, –2)

21. 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.