Ordered Pairs Teacher Notes
Objective
Identify and graph ordered pairs on a coordinate grid.
Use these worksheets if students have trouble
• graphing on the coordinate plane
• graphing proportional relationships
Vocabulary
• coordinate grid
• ordered pair
• origin
• x-axis
• y-axis
Getting Started
Project a coordinate grid on the board. Point out the x- and y-axes. Plot a point. What is the ordered
pair? Practice plotting points. Where is (0, 0)? This is the origin.
Lesson Information
Remind students that ordered pairs list coordinates. The coordinates, when taken
together, represent a point on the coordinate grid.
Math Challenge
Partner Pictures Give each student a coordinate grid. Tell students to draw a simple shape on their
grid and plot the points. Then have them write ordered pairs on paper and give the ordered pairs to
their partner. Their partners will use the ordered pairs to recreate the shape on a blank coordinate
grid.
Differentiated Instruction
Visual Learners Draw or distribute a coordinate graph. Have students plot the following
points: (1, 3), and (4, -3).
Have students connect the points. Ask students to name the two ordered pairs on the graph. Now
have students plot (–2, –3) and connect the points. What shape is formed? triangle
Kinesthetic Learners Students can measure the classroom and make a coordinate grid using
masking tape. Students can work in small groups to make a map of the classroom by plotting points
for the locations of objects in the classroom.
Assess
Step 1 Project a coordinate grid on the board. Ask students to guide you to graph several points
such as, (5, 7), (–2, 5), and (–8, –2). Then ask them to name the ordered pairs of other
points that you plot.
Step 2 Write five points on the board that include at least one point in each quadrant. Tell students
to graph these points. Have students share their work and discuss their strategies.
Step 3 Tell students to draw a coordinate grid on paper. Ask them to plot any two points of their
choosing, making certain to label the points. Tell them to write their method for naming the
points.
NAME ___________________________________________________________________ DATE _______________
NAME
Vocabulary and
Vocabulary
2-3
English
Languageand
Development
Lesson
English
Ordered
Pairs
DATE
Language Development
Activate Prior Knowledge
Use a coordinate grid to locate and label points.
The city of Philadelphia was laid out in a grid pattern by William
Penn and Thomas Holmes. Use a coordinate grid to find locations.
1
Locate and mark the origin. Label it
“City Hall.” Give its coordinates.
-4-2 O
y
Chapter 2
16
14
12
10
8
6
4
2
/
8
&
4
x
2 4 6 8 10 12 14 16
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
-4
2
Move east 9 blocks from City Hall.
Mark the point and label it “Liberty Bell.”
Give its coordinates.
3
Move south 1 block from Liberty Bell.
Mark the point and label it “Independence
Hall.” Give its coordinates.
4
Move east 3 blocks and north 2 blocks
from Independence Hall. Mark the point
and label it “Betsy Ross House.” Give its
coordinates.
5
Move west 2 blocks from Betsy Ross
House. Mark the point and label it
“U.S. Mint.” Give its coordinates.
Definition Review
Match the vocabulary word to its location on the graph.
6
origin
7
x-axis
8
y-axis
9
ordered pair
10
coordinate grid
Application
E
A
(4, 6)
D
C
B
Follow the directions to demonstrate plotting a point.
• Work as a class. Clear an area on a tile floor. Use tape to mark the
x- and y-axes, and, if needed, to mark the grid lines. An auditorium,
a gym, or an outdoor paved area could also be used.
• The teacher writes ordered pairs on the board.
• One at a time, students start at the origin and walk along the grid to
the location of a specified ordered pair.
• Repeat until all students have graphed a point.
Math Triumphs
Ordered
Pairs 1A35
Lesson 2-3
NAME ___________________________________________________________________ DATE _______________
Lesson
NAME
DATE
Skills
Skills Practice
2-3 Practice
Ordered Pairs
Name the ordered pair for each point.
1
A
2
B
3
C
4
D
5
E
5
4
3
2
1
E
y
-5-4-3-2-1O
B
6
A
C
x
1 2 3 4 5
-2
-3 D
-4
-5
F
7
G
8
H
9
I
10
J
I
5
4
3
2
1
-5 -4-3-2-1 O
H
-2
-3
-4
-5
Graph the ordered pairs.
11
Graph the ordered pairs K (3, 1) and L (3, 4).
Then connect the points.
(3, 1) and (3, 4) are on a line parallel to the y-axis because
-coordinates.
they have the same
12
(1, 4) and (-3, 4) are on a line parallel to the x-axis because
-coordinates.
they have the same
J
x
F
1 2 3 4 5
G
y
x
-5-4-3-2-1 O
1 2 3 4 5
-2
-3
-4
-5
5
4
3
2
1
-5-4-3-2-1 O
y
x
1 2 3 4 5
-2
-3
-4
-5
13
Graph the ordered pairs:
P (-2, -5)
Q (-2, 0)
R (3, 1)
S (-5, 2)
T (3, -2)
U (-4, -3)
2A36
Ordered
Pairs2-3
Lesson
5
4
3
2
1
-5 -4 -3 -2-1 O
y
x
1 2 3 4 5
-2
-3
-4
-5
Math Triumphs
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Graph the ordered pairs M (1, 4) and N (–3, 4).
Then connect the points.
5
4
3
2
1
y
NAME ___________________________________________________________________ DATE _______________
NAME
DATE
Lesson
Problem-Solving
Practice
Problem-Solving
Practice
2-3
Ordered Pairs
Solve.
1
O
2
y
1 2 3 4 5 6 7 8
Amanda has a map of her hometown. Each square
represents one block. Give the coordinates of the Fire Station and
the Police Station. How many blocks separate these buildings?
CITIES
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Hospital
3
CITIES Use the map of Amanda’s hometown from Exercise 2
above. Give the coordinates of the Hospital and the Fire Station.
How many blocks separate these buildings?
4
BOARD GAMES
5
Blake and Juan are playing a military strategy
game on a board which has been marked in a grid pattern. Blake
attacked at location A on his first move and location B on his
second move. Give the coordinates of each point and the number
of spaces between Blake’s first and second attacks.
Graph the points (-4, 2) and (5, 2) on the
coordinate grid shown. What is the distance between these two
points? Explain how this distance could be found without
graphing the points.
x
y
5
4
3
2 Fire Station
1
-5-4-3-2-2 O
Chapter 2
Della is playing chess. She moves her queen from position
(8, 3) to position (1, 3). Graph the points. How many spaces did
Della move her queen?
CHESS
8
7
6
5
4
3
2
1
x
1 2 3 4 5
-2
-3 Police Station
-4
-5
A
5
4
3
2
1
y
x
-5-4-3-2-1 O
B
1 2 3 4 5
-2
-3
-4
-5
GRAPHING SENSE
5
4
3
2
1
y
x
-5-4-3-2-1 O
1 2 3 4 5
-2
-3
-4
-5
6
Graph the points (3, -2) and (3, -5) on the
coordinate grid shown. What is the distance between these two
points? Explain how this distance could be found without
graphing the points.
GRAPHING SENSE
5
4
3
2
1
-5 -4-3-2-1 O
y
x
1 2 3 4 5
-2
-3
-4
-5
Math Triumphs
Lesson 2-3
Ordered
Pairs A37
3
NAME ___________________________________________________________________ DATE _______________
NAME
DATE
Homework Practice
Lesson
2-3 Homework Practice
Ordered Pairs
Name the ordered pair for each point.
1
3
5
Z
X
V
2
4
6
Y
W
U
5
4
3
2
Z
1
y
Y
-5 -4-3-2-1 O
V x
1 2 3 4 5
-2 W
-3
X -4
-5
U
Graph the ordered pairs.
7
Graph the ordered pairs T (4, -1) and S (-1, -1).
Then connect the points.
(4, -1) and (-1, -1) are on a line parallel to the x-axis because
they have the same
-coordinate.
5
4
3
2
1
y
x
-5 -4 -3 -2-1 O
1 2 3 4 5
-2
-3
-4
-5
8
Graph the ordered pairs R (-1, 4) and Q (-1, 0).
Then connect the points.
(-1, 4) and (-1, 0) are on a line parallel to the y-axis because
-coordinate.
Write the vocabulary word that completes the sentence.
9
y
x
-5 -4 -3 -2-1 O
1 2 3 4 5
-2
-3
-4
-5
A
is a grid in which a horizontal number
line and a vertical number line intersect at their zero points.
Solve.
10
GRAPHING SENSE Graph the points (-2, 4) and (-2, -3)
on the coordinate grid shown. What is the distance
between these two points? Give two ways to find the distance.
5
4
3
2
1
-5 -4 -3 -2-1 O
y
x
1 2 3 4 5
-2
-3
-4
-5
Lesson
4A38
Ordered
Pairs2-3
Math Triumphs
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
they have the same
5
4
3
2
1
Ordered Pairs Answers
Vocabulary and English Language Development
Coordinate grid for Exercises 1-5.
1. (0, 0)
2. (9, 0)
3. (9, –1)
4. (12, 1)
5. (10, 1)
6. D
7. C
8. E
9. A
10. B
Skills Practice
1. (1, 4)
2. (–2, –2)
3. (3, 0)
4. (1, –2)
5. (–3, 3)
6. (0, –1)
7. (2, –5)
8. (–3, –2)
9. (–3, 4)
10. (2, 5)
11. x
12. y
13.
Problem-Solving Practice
1. 7 Spaces
2. Fire Station (3, 1), Police Station (3, –2), 3 blocks
3. Hospital (–3, 1), Fire Station (3, 1), 6 blocks
4. A(–3, 2), B(–3, –2), 4 spaces
5. 9 units; The points are on the same line because they have the same y-coordinate. To find
the distance between two points having the same y-coordinate, subtract the x-coordinates:
|5| – |–4| = 9.
6. 3 units; The points are on the same line because they have the same x-coordinate. To find
the distance between two points having the same x-coordinate, subtract the y-coordinates:
|–5| – |–2| = 3.
Homework Practice
1. (–2, 1)
2. (4, 2)
3. (–2, –3)
4. (0, –2)
5. (4, 0)
6. (2, –5)
7. y
8. x
9. coordinate grid
10. 7 units; Count the spaces between the points to find the distance. Since the points have
the same x-coordinate, subtract the y-coordinates to find the distance: |4| – |–3| = 7.