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Geometry
Coordinate Geometry
Teacher Key
Ordered Pairs
Give the coordinates of the following points.
Point A: (2, 9)
Point B: (5, 7)
Point C: (1, 1)
Point D: (7, 4)
Point E: (9, 10)
Point F: (1, 5)
Point G: (8, 0)
Point H: (0, 8)
Point I: (8, 6)
Plot and label the following points.
Point J: (5, 3)
Point K: (0, 2)
Point L: (8, 1)
Point M: (0, 0)
Point N: (3, 3)
Point O: (10, 10)
Point P: (3, 0)
Point Q: (3, 5)
Point R: (9, 2)
© 2002 CompassLearning, Inc.
Activity 34055
34056
Geometry
Coordinate Geometry
Teacher Key
Ordered Pairs
What do you think might happen if there were no rules for locating points on a coordinate grid?
(i.e. The first number in an ordered pair tells how many across.)
Answers will vary.
Example: An ordered pair could describe many different locations if
there were no rules. (8,6) could mean to go over 8 and up 6 or to go
up 8 and over 6. There would be no way of knowing exactly which
point is being described.
Why do you think map grids use pairs of numbers and letters to describe locations, rather than
pairs of numbers like coordinate grids? (See example below.)
A
B
C
D
E
F
1
2
3
4
5
The Coast Ranges are located at A2.
Jamaica is located at F5.
Sierra Madre is located at C5.
Answers will vary.
Example: There do not need to be any rules when ordered pairs use
letter and number pairs. You can find the location whether it is listed
with the number or letter first.
© 2002 CompassLearning, Inc.
Activity 34055
34056
Geometry
Coordinate Geometry
Teacher Key
Connections
Today I learned:
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Just for Laughs
Enter the letter of each ordered pair to solve the math riddles.
What did the acorn say when it grew up?
(2,9) (1,7) (2,0) (7,4) (1,7) (4,8) (5,2) (4,5)
What did the teacher say when the parrot
flew away?
(7,1) (2,0) (7,8) (4,5) (2,9) (2,0) (10,4)
© 2002 CompassLearning, Inc.
Activity 34055
34056
Geometry
Coordinate Geometry
Teacher Key
Connections
Just for Fun
Materials
2 dice, 4 sheets of grid paper, 2 pencils
Set up
Give each player two sheets of grid paper and one pencil. Roll the dice to decide how many points will be plotted.
Then, each player chooses points to plot on one sheet of his or her grid paper. Connect the points in the order they
are plotted to create a design. Keep the design a secret.
Playing
One player calls out the ordered pairs for each of the points in his or her design. The other player plots these points
on a clean sheet of grid paper, connecting the points as they are plotted. Then, the players should switch roles.
Ending the Game
Players check to see if they plotted the points correctly and if their designs match.
© 2002 CompassLearning, Inc.
Activity 34055
34056
Geometry
Coordinate Geometry
Teacher Key
Points on the Coordinate Plane
Using the equation below:
1. Complete the t-chart.
2. Plot the ten points on the coordinate plane.
3. Connect the points to create the graph for the equation.
4. What conclusion can you draw about the graph of this type of equation?
varies
EQUATION: y = 3x
x
y
5
15
4
12
3
9
2
6
1
3
0
0
-1
-3
-2
-6
-3
-9
-4
-12
10
-10
10
-10
© 2002 CompassLearning, Inc.
Activity 34055
34056