Name:_________________________________
Accordino-Math 7
M1TAL1
Date:_________
Period:________
Lesson 1: An Experience in Relationships as
Measuring Rate
Bellringer
1. There are two bald eagles in an exhibit at the zoo. What is the ratio of wings to beaks of the exhibit?
a. 2 : 1
b. 4 : 1
c. 1 : 2
d. 3 : 4
2. Coach Stevens coaches a baseball team consisting of fourteen players. To celebrate the end of their
summer season she takes them to a minor league baseball game. The tickets cost $75.00 for
everyone to attend and then Coach also bought each player and herself a hamburger. If Coach
Stevens spent $135.00 total, what was the price per hamburger?
Name:_________________________________
M1TAL1
Date:_________
Accordino-Math 7
Period:________
Lesson 1: An Experience in Relationships as Measuring Rate
Notes
A ratio is a quotient of two numbers. It is used to compare these numbers. The ratio of a to b can be
written as:
a to b
a:b
Write each scenario below as a ratio in each of the three possible forms:
a to b
a:b
6 boys to 3 girls
*12 cows to 3 pigs
*3 pigs to 12 cows
*The ratio is written A:B to indicate the order of the numbers! Order matters!
Rate: is a special ratio in which the two terms are in different units.
Ex 1) Ten inches of snow in five hours
Ex 2) $20.00 for nine books
Unit Rate: is when a rate is expressed through a quantity of one; the value of the rate.
Ex 1)
Ex 2)
Can you think of any other common rates we use in real life?
Exercise 1:
Find each rate and unit rate.
a.
490 miles in 7 hours
b.
350 customers in 70 days
c.
42 meters in 6 seconds
d.
$7.23 for 3 pounds
Name:_________________________________
Accordino-Math 7

M1TAL1
Date:_________
Period:________
Unit Rate is often a useful means of comparing ratios and their associated rates when measured in different
units. The unit rate allows us to compare varying sizes of quantities by examining the number of units of one
quantity per one unit of the second quantity. This value of the ratio is the unit rate.
Exercise 3: Which is the Better Buy?
a.
Value-Mart is advertising a Back-to-School sale on pencils. A pack of 30 sells for $7.97 whereas a 12-pack of the
same brand cost for $ 4.77. Which is the better buy? How do you know?
b.
Devon is trying to find the unit price on a 6-pack of energy drinks on sale for $2.99. His sister says that at that
price, each energy drink would cost just over $2.00. Is she correct and how do you know? If she is not, how
would Devon’s sister find the correct price?
Name:_________________________________
Accordino-Math 7
You Try!!!
Find each rate and unit rate.
a.
20 miles in 2 hours
b.
93 miles in 6 gallons of gas
c.
100 meters in 14 seconds
d.
$525.25 for 5 pounds
Which is the best buy?
a.
6 tickets for $24.99
b.
10 tickets for $50.00
c.
11 tickets for $45.10
Lesson Summary:
M1TAL1
Date:_________
Period:________
Name:_________________________________
M1TAL1
Accordino-Math 7
Date:_________
Period:________
Homework:
1.
2.
Find each rate and unit rate.
a.
560 miles in 8 hours
b.
350 customers in 70 days
c.
42 meters in 6 seconds
d.
$7.23 for 3 pounds
Classify each rate. Write “unit rate” or “not a unit rate.”
1
3 feet per minute
2
$1.60 per pound
1
1
mile every hour
4
6
_________________
_________________
_________________
3.
Jonathan’s parents told him that for every 5 hours of homework or reading he completes, he will be able to play
3 hours of video games. His friend Lucas’s parents told their son that he can play 30 minutes for every hour of
homework or reading time he completes. If both boys spend the same amount of time on homework and
reading this week, which boy gets more time playing video games and how do you know?
4.
Fill in the blanks with an appropriate word or phrase.
a.
A(n) ________________________ is a ratio of two quantities that have different units of measure.
b. A(n) ________________________ is a ratio in which the second quantity in the comparison is 1 unit.
c.
A(n) ________________________ fraction has a fraction in the numerator, the denominator, or both.
d. If you multiply the numerator and the denominator of a fraction by the same number, the result will be
a(n) ________________________ fraction.
Name:_________________________________
Accordino-Math 7
M1TAL1
Date:_________
Period:________
Lesson 1: An Experience in Relationships as
Measuring Rate
Exit Ticket
1. Find each rate and unit rate.
a. 42 miles in 6 hours
b. 360 customers in 30 days
c. 40 meters in 16 seconds
d. $15.15 for 5 pounds