Rates & Unit
Rates
Read this slide, then talk about it with a partner!
What is a rate?
A rate is a ratio that is used to compare measurements with
different units.
What is a unit rate?
A Unit Rate - is a rate with a denominator of 1.
Rate
$32 in 4 hours
36 students at 9 tables
120 miles in 2 hours
$5.94 for 6 sodas
=
=
=
=
Unit Rate
$8 in 1 hour
4 students at 1 table
60 miles in 1 hour
$0.99 for 1 soda
Read this slide, then talk about it with a partner!
There are 672 students in a school and there are 28
teachers. How many students per teacher?
To find the unit rate (or students per 1 teacher) divide
both the numerator and the denominator by the
denominator.
students
teachers
672 ÷ 28 = 24
28 ÷ 28
1
There are 24 students per teacher.
Try these.
Find the unit rates.
20 toys for 5 dogs =
4 toys for 1 dog
click
$735 per week =
(Hint: 5 day work week)
$147 per week
click
For every 12 laps Evan
runs Lucas runs 4
=
Evan runs 3 laps
Lucas runs 1
click
Richard read 27 pages
=
in 3 hours
Richard read 9
click
pages in 1 hour
For each of the
following questions,
answer on a whiteboard
or in your journal
BEFORE you check the
answer 
Emily drove 825 miles in 15 hours.
How many miles per hour (mph) did she drive?
A
815 miles per hour
B
60 miles per hour
C
55 miles per hour
D
15 miles per hour
Answer: C
55 miles per hour
Emily's brother drove 340 miles and used 17
gallons of gas. How many miles per gallon
(mpg) did he get?
Answer:
20 miles per gallon
or 20 mpg
Margot bought 16 oranges for $4. How much does
1 orange cost? (Read carefully!!)
Answer:
We need to find the rate of DOLLARS
per ORANGE (not oranges per dollar )
$4 ÷ 16 = $0.25 per orange
Brian bought 3 pounds of chicken for $10.47. How
much was one pound of chicken?
Answer:
Again, we need to find the rate of
DOLLARS per POUND of chicken
$10.47 ÷ 3 = $3.49 per pound
150 ÷ 20 = 7.5 min per mile so 7.5 x 6 = 45 minutes to run 6 miles
20 ÷ 150 = 0.13 mile per min so 0.13 x 15 = about 2 miles in one minute
20 ÷ 150 = 0.13 mile per min then 0.13 x 60 = 7.8 miles per hour
150 ÷ 20 = 7.5 min per mile
Tim ran 1 mile in 11 minutes, Bob ran 4 miles in 43
minutes, Rosana ran 15 miles in 2 hours 38 minutes
and Carrie ran 23 miles in 3 hours 50 minutes. Who
ran the fastest?
A
Tim
B
Bob
C
Rosana
D
Carrie
Answer:
A
B
C
D
11 min ÷ 1 mi = 11 min per mile
43 min ÷ 4 mi = 10.75 min per mile
158 min ÷ 15 mi = 10.5 min per mile
230 min ÷ 23 mi = 10 min per mile
Now create an example of your own
and share with your math buddy.
What type of unit rate question will you
create?
1- Multiple Choice
2- Short Answer
3-Statement and decide who is correct?
4-Open ended