Lesson 20 ~ The Coordinate Plane
Name__________________________________________
Period______
Date____________
Write the ordered pair for each point on the coordinate plane below.
1. P
2. L
3. A
4. N
5. E
6. S
On the coordinate plane below, graph and label the following ordered pairs.
7. M(0, 6)
8. U(9, 4)
9. S(−3, 2)
10. I(−4, −1)
11. C(5, 0)
12. L(8, −6)
Write the ordered pairs from the table. Graph the points.
13.
15.
x
y
x
y
−2
−2
−5
9
©2008 SMC Curriculum
−1
−1
−3
6
0
0
1
1
2
2
14.
x
y
−2
7
−1
4
0
0
1
4
2
7
−1
0
1
−5
3
−3
16.
x
y
1
7
2
−8
3
6
4
2
5
−3
Oregon Focus on Proportionality
Lesson 21 ~ Making Sense of Graphs
Name__________________________________________
Period______
Date____________
Speed
1. Choose the best story for the graph. Explain how that choice fits the story.
A. A train leaves a station on a trip.
B. Bob walks and then runs to the store.
C. Stan rides his bike home.
Time
2.
Martina was at work. She drove home for lunch and then returned to work. On her way back to
work, she stopped at the store. The graph below shows her distance from home (miles) over
time (hours).
a. How far away is Martina’s work from her home?
b. How long did Martina stay home for lunch?
c. Find Martina’s rate of speed in miles per hour for
the trip home from work.
d. How long was Martina at the store?
e. How long was Martina gone from work?
3. Jason drove from his home to the coast. The graph below shows his speed in miles per hour over
time in minutes.
a. What was Jason’s fastest speed?
b. How long did Jason drive at his fastest speed?
4. Ieda walked to her grandmother’s house. She walked at a
rate of 5 miles per hour. She walked for one hour to get to
her grandmother’s house. She stayed for two hours before
returning home walking at a rate of 5 miles per hour.
Graph Ieda’s trip using the coordinate plane at the right.
Be sure to include all ordered pairs when line segments
change direction.
©2008 SMC Curriculum
Distance (miles)
c. What does the point (30, 0) mean on the graph?
Time (hours)
Oregon Focus on Proportionality
Lesson 22 ~ Direct Variation Tables and Graphs
Name__________________________________________
Period______
Date____________
Each table below represents direct variation. Graph each scatter plot. Find the rate by which
each graph increases.
1.
x
0
1
2
3
4
y
0
1
2
3
4
2.
x
0
1
2
3
4
y
0
3
6
9
12
3.
x
2
4
6
8
10
y
1
2
3
4
5
Determine whether the table models direct variation. Explain why or why not. If it does, give
the rate.
4.
x
0
2
4
6
8
y
0
8
16
24
32
5.
x
3
6
9
12
15
6.
y
1
2
3
4
5
x
0
1
2
3
4
y
0
10
15
20
25
Determine whether the graph models direct variation. Explain why or why not. If it does, give
the rate.
7.
8.
(3, 9)
(2, 4)
(1, 3)
9.
(1, 1)
(4, 9)
10.
(6, 3)
(1, 3)
©2008 SMC Curriculum
(2, 1)
Oregon Focus on Proportionality
Lesson 23 ~ Direct Variation Equations
Name__________________________________________
Period______
Date____________
Copy and complete each input-output table and graph each function in Quadrant I.
1.
Input
x
Function Rule
y = 2x
Output
y
Function Rule
y = 5x
Output
y
Function Rule
y = 34 x
Output
y
0
1
2
3
4
2.
Input
x
0
1
2
3
4
3.
Input
x
0
4
8
12
16
4. Find the slope for each direct variation equation in #1-3.
Find the slope of each direct variation equation.
5.
6. y = 52 x
y = 11x
7. y = 8 x
The tables below show ordered pairs which model direct variation. Write an equation relating
the x and y coordinates.
8.
x
0
1
2
3
4
©2008 SMC Curriculum
y
0
10
20
30
40
9.
x
0
1
2
3
4
y
0
1.5
3
4.5
6
10.
x
1
2
3
4
5
y
11
22
33
44
55
Oregon Focus on Proportionality
Lesson 24 ~ Recognizing Direct Variation
Name__________________________________________
Period______
Date____________
Tell whether or not each graph is a direct variation graph. Explain your choice.
1.
2.
3.
4.
5.
6.
Tell whether or not each equation is a direct variation equation. Explain your choice. If it is
direct variation, identify the slope.
7. y = 9 x
10. y =
6
x
8. y = 15 x
9. y = 4x 2
x
3
12. y = 2 x
11. y =
Tell whether or not each table shows ordered pairs that model a direct variation equation.
Explain your choice. If the ordered pairs show direct variation, identify the slope.
13.
x
−2
−1
0
1
2
y
2
1
0
−1
−2
14.
x
−6
−3
0
3
6
y
−2
−1
0
1
2
15.
x
−2
−1
0
1
2
y
4
1
0
1
4
16.
x
−5
−2
1
3
4
y
−20
−8
4
12
16
17.
x
−2
−1
1
2
4
y
−4
−8
8
4
2
18.
x
−2
−1
1
2
4
y
−5
−2.5
2.5
5
10
©2008 SMC Curriculum
Oregon Focus on Proportionality
Lesson 25 ~ Writing Linear Equations
Name__________________________________________
Period______
Date____________
Find the linear equation for the input-output tables.
1.
Input
x
0
1
2
3
4
Output
y
6
8
10
12
14
Input
x
−2
−1
0
1
2
Output
y
−14
−7
0
7
14
3.
2.
4.
Input
x
−1
0
1
2
3
Output
y
9
6
3
0
−3
Input
x
−2
−1
0
1
2
Output
y
4
3.5
2.5
1.5
0.5
5. Use the equation y = −2 + 5 x .
a. What is the rate of change?
b. What is the start value?
c. Is the graph of this function increasing or decreasing? How do you know?
Find the linear function rule for each graph.
6.
7.
8.
9.
©2008 SMC Curriculum
Oregon Focus on Proportionality