Name:_________________________________
Accordino-Math 7
M1L9
Date:_________
Period:________
Lesson 9: Identifying Unit Rate as the
Constant of Proportionality
Bellringer
1) The graph below represents the relationship between distance a sloth travels over time. What point
on the graph represents the unit rate?
a. (1 , 2)
b. (0.5, 3)
c. (2 , 12)
d. (1 , 6)
2) The graph below represents the relationship between money saved over time. What point on the
graph represents the unit rate?
a. (4 , 188)
b. (0, 0)
c. (1, 47)
d. (2, 94)
Name:_________________________________
M1L9
Date:_________
Accordino-Math 7
Period:________
Lesson 9: Identifying Unit Rate as the Constant of
Proportionality
Exit Ticket
1) What is the Constant of Proportionality for the graph below?
K=
2) What is the unit rate for the table below?
# of People, X
1
2
3
4
Total Cost ($),Y
$6.25
$12.50
$18.75
$25.00
3) The graph below represents the relationship between pieces of paper per box. What point on the
graph represents the unit rate?
a. (4 , 50)
b. (0, 0)
c. (2 , 25)
d. (1 , 12.5)
Name:_________________________________
M1L9
Date:_________
Accordino-Math 7
Period:________
Lesson 9: Identifying Unit Rate as the Constant of
Proportionality
Notes
The ratio
Y is called the _________________ _______________________________ and represented by the variable
X
K. The Constant of Proportionality is the unit rate for the set of data! The UNIT RATE for a proportional relationship is
located at the point (__1__ , __R___) on a graph, where R is the value of the Unit Rate.
Example 1:
The graph below represents the relationship between distance from home and time in hours during a family road trip.
What is the unit rate in miles per hour?
What is the Constant of Proportionality?
At what point is the unit rate located on the graph?
o
To locate the unit rate, look for 1 on the x-axis (the bottom part of the graph).
Example 2:
The graph below represents the relationship between distance from home and time in hours during a family road trip.
What is the unit rate in miles per hour?
What is the Constant of Proportionality?
At what point is the unit rate located on the graph?
o
If there is not a 1 on the x-axis, find the value of the ratio
Y.
X
Name:_________________________________
Accordino-Math 7
M1L9
Date:_________
Period:________
You Try!
For each problem below identify the unit rate, the constant of proportionality, and the location of the unit rate on the
graph.
Name:_________________________________
Accordino-Math 7
M1L9
Date:_________
Period:________
Name:_________________________________
M1L9
Date:_________
Accordino-Math 7
Period:________
Homework:
1) The table below represents a proportional relationship. What point on the graph represents the
unit rate?
a. (1 , 1)
b. (1 , 5)
c. (2 , 1)
d. (2 , 5)
2)
Identify the characteristics needed in order to know if a table or a graph represents a proportional relationship.
Characteristics of graphs of proportional relationships:
1)
2)
Characteristic of a table with a proportional relationship:
3)
Write each ratio below in lowest terms:
15ft
3ft
4)
72boys
32girls
Use the graph of the proportional relationship below to answer the following ques tions.
a.
What is the unit rate in liters per container?
b.
What is the Constant of Proportionality?
K=
At what point is the unit rate located on the graph?
c.
Name:_________________________________
M1L9
Date:_________
Accordino-Math 7
Period:________
Think/Pair/Share: Independently solve and record your work to the two problems below in the “Think” column. Then,
when you are told to do so, record your partner’s answers in to the “pair” column. Discuss your answers and agree upon
a correct response in the “share” column.
Think
Record your answers here
Pair
Record your partner’s answers
Share
Discuss your results
1)
Unit Rate:
o
My partner and I got the same
answer

Identify one thing you did
in common while solving.
o
My partner and I got different
answers

Identify one difference you
had while solving.
K=
Unit Rate @ point: (
,
)
Agreed upon answers:
Unit Rate:
K=
Unit Rate @ point: (
2)
Unit Rate:
,
)
o
My partner and I got the same
answer

Identify one thing you did
in common while solving.
o
My partner and I got different
answers

Identify one difference you
had while solving.
K=
Unit Rate @ point: (
,
)
Agreed upon answers:
Unit Rate:
K=
Unit Rate @ point: (
,
)
Name:_________________________________
M1L9
Date:_________
Accordino-Math 7
Period:________
3)
Unit Rate:
o
My partner and I got the same
answer

Identify one thing you did
in common while solving.
o
My partner and I got different
answers

Identify one difference you
had while solving.
K=
Unit Rate @ point: (
,
)
Agreed upon answers:
Unit Rate:
K=
Unit Rate @ point: (
4)
Unit Rate:
,
)
o
My partner and I got the same
answer

Identify one thing you did
in common while solving.
o
My partner and I got different
answers

Identify one difference you
had while solving.
K=
Unit Rate @ point: (
,
)
Agreed upon answers:
Unit Rate:
K=
Unit Rate @ point: (
,
)
Name:_________________________________
M1L9
Date:_________
Accordino-Math 7
Period:________
5)
Unit Rate:
o
My partner and I got the same
answer

Identify one thing you did
in common while solving.
o
My partner and I got different
answers

Identify one difference you
had while solving.
K=
Unit Rate @ point: (
,
)
Agreed upon answers:
Unit Rate:
K=
Unit Rate @ point: (
6)
Unit Rate:
,
)
o
My partner and I got the same
answer

Identify one thing you did
in common while solving.
o
My partner and I got different
answers

Identify one difference you
had while solving.
K=
Unit Rate @ point: (
,
)
Agreed upon answers:
Unit Rate:
K=
Unit Rate @ point: (
,
)