The document discusses graphing ordered pairs on a coordinate plane. It defines key terms like coordinate, plane, axes, quadrants, and ordered pairs. It explains that an ordered pair uses the format (x,y) to locate a point by its x-coordinate first and then y-coordinate on the plane. Several examples of graphing points and identifying their quadrants are provided.

1. Objective
The student will be able to:
graph ordered pairs on a coordinate
plane.

2. Let’s look at the word coordinate
plane grammatically.
Co: is a prefix that means jointly, mutually,
together.
Ordinal: a number that tells the position of
something in a list or a series.
Therefore…
Coordinate: each of a pair of real numbers
used to indicate the position of a point in a plane.
Examples: (2,3), (-3,5), (4,-6), (-5,-8), (1.83,-4.3)

3. Plane: a flat surface on which a straight line
joining any two points on it would wholly lie.

4. Coordinate Plane
A coordinate plane is divided
in half, horizontally, by a line
called the x-axis, which is
really just a number line.
x-axis
A coordinate plane is divided
in half, vertically, by a line
called the y-axis, which is
really just a number line
turned sideways.
-5 -4 -3 -2 -1 0 1 2 3 4 5
Origin
(0,0)
-5 -4 -3 -2 -1 0 1 2 3 4 5
y-axis
The axes intersect at, the origin, the zero point on both number lines.
The axes divide the plane into four regions or quads.

5. The four regions created by the x and y axis are called
quadrants.
They are labeled using roman numerals in a counterclockwise
direction starting in the upper right hand corner.
II I
III IV
The “C” which could stand for coordinate plane or counterclockwise
will help you remember which way to label your plane.

6. Ordered pairs are used to locate points in a coordinate plane.
What order do they go in? x comes first and then y; (x,y)
How am I going to remember that? 2 WAYS
y-axis (vertical axis)
x-axis (horizontal
axis)
origin (0,0)
5
5
-5
-5
1. x comes before y in the alphabet.
2. Ladies before gentlemen:
x chromosome before y chromosome.

7. In an ordered pair, the first number is the x-coordinate. The second
number is the y-coordinate. When graphing, always start at the origin.
The x-coordinate tells you to move on the x-axis. A positive x goes right
and a negative x goes left. The y-coordinate tells you to move on the y-axis.
A positive y goes up and a negative y goes down.
5
5
-5
-5
Graph. (-3, 4)

8. At the beginning of the year, I created a seating chart for my
class. I created 5 rows of desks with 5 desks in each row.
Brian sits in the third row at the second desk (3,2).
Dewayne sits in the second row at the third desk (2,3).
Are these seats the same?
No!! The seats (3,2) and (2,3) are called
ordered pairs because the order in which
the pair of numbers is written is important!!

9. Who is sitting in desk (4,2)?
A B C D E
F G H I J
K
L M N O
P
Q R S T
4
3
2
1
1 2 3 4 5
N

10. What is the ordered pair for A?
1. (5, 4)
2. (4, 5)
3. (-5, 4)
4. (4, -5)
5
5
-5
-5
• A

11. What is the ordered pair for B?
5
5
-5
-5
• B
1. (3, 4)
2. (-4, 3)
3. (-3, -2)
4. (3, -4)

12. What is the ordered pair for C?
1. (0, -4)
2. (-4, 0)
3. (0, 4)
4. (4, 0)
5
5
-5
-5 • C

13. What is the ordered pair for D?
5
5
-5
-5
• D
1. (-1, -6)
2. (6, -1)
3. (-6, -1)
4. (-6, 1)

14. Write the ordered pairs that name
points A, B, C, and D.
A = (1, 4)
B = (4, -3)
C = (0, -4)
D = (-6, 2)
E = (-3, -1)
5
5
-5
-5
• A
• B
• C
• D
• E

15. Name the quadrant in which the
point is located
(-5, 4)
1. I
2. II
3. III
4. IV
5. None – x-axis
6. None – y-axis

16. Name the quadrant in which each
point is located
(-2, -7)
1. I
2. II
3. III
4. IV
5. None – x-axis
6. None – y-axis

17. Name the quadrant in which each
point is located
(0, 3)
1. I
2. II
3. III
4. IV
5. None – x-axis
6. None – y-axis