Double Block IMA – Notes on Unit Rates and Conversions
Name: ________________________________________
Objective – Determine a unit rate.
I. Rates and Unit Rates
A. A rate is
B. A unit rate is
C. Examples:
Rate
6 books for 2 students
Ratio
Unit Rate
85 miles in 2 hours
$345 in 5 days
D. A unit price or unit cost is
**The ___________________ is always the ________________________________ and the _________________
is always the ______________________________________.
E. Examples
1. If Andrew travels 120 miles in 3 hours, at what rate is he traveling?
2. If John bought 8 ounces of jelly for $1.89, what is the unit cost?
3. Which costs less per ounce: 12 ounces of yogurt for $2.55 or 9 ounces of yogurt for
$1.70?
4. Mrs. Hoslar ran 5 miles in 42 minutes. Mrs. Harrison could only run 2 miles before she
was so tired she needed a break, but she ran the 2 miles in 11 minutes. Who ran at a
faster pace? (Hint: Find the ratio of minutes per 1 mile)
Objective – Calculate unit conversions.
II. Conversion Factors
A. Some basic conversion factors that we should know:
________ inches = ________ foot
________ feet = _________ yard
__________ feet = __________ mile
________ ounces = ________ cup
________ cups = ________ pint
_________ pints = __________ quart
________ quarts = ________ gallon
________ seconds = _______ minute
_________ minutes = ________ hour
__________ hours = _______ day
B. Examples: Convert each of the following to the units requested.
1. 24 inches  feet
2. 72 minutes  seconds
3. 9 cups  pints
4. 13 yards  feet
5. 36
𝑚𝑖𝑙𝑒𝑠
ℎ𝑜𝑢𝑟

𝑚𝑖𝑙𝑒𝑠
𝑚𝑖𝑛𝑢𝑡𝑒𝑠
𝑓𝑒𝑒𝑡
6. 15 𝑚𝑖𝑛𝑢𝑡𝑒 
𝑦𝑎𝑟𝑑𝑠
𝑚𝑖𝑛𝑢𝑡𝑒
Double Block IMA – Notes on Unit Rates and Conversions
ANSWERS!!!
Name: ____________________________________________
I. Rates and Unit Rates
A. A rate is a ratio that compares two different quantities.
B. A unit rate is a rate where the denominator is one.
C. Examples:
Rate
6 books for 2 students
Ratio
6:2
Unit Rate
3 books per 1 student
85 miles in 2 hours
85:2
42.5 miles in 1 hour
$345 in 5 days
345:5
$69 per day
D. A unit price or unit cost is the cost of a given unit.
**The price/cost is always the numerator and the unit given
is always the denominator
E. Examples
1. If Andrew travels 120 miles in 3 hours, at what rate is he traveling?
2. If John bought 8 ounces of jelly for $1.89, what is the unit cost?
3. Which costs less per ounce: 12 ounces of yogurt for $2.55 or 9 ounces of yogurt for
$1.70?
II. Conversion Factors
A. Some basic conversion factors that we should know:
________ inches = ________ foot
________ feet = _________ yard
__________ feet = __________ mile
________ ounces = ________ cup
________ cups = ________ pint
_________ pints = __________ quart
________ quarts = ________ gallon
________ seconds = _______ minute
_________ minutes = ________ hour
__________ hours = _______ day
B. Examples: Convert each of the following to the units requested.
1. 24 inches  feet
2. 72 minutes  seconds
3. 9 cups  pints
4. 13 yards  feet
5. 36
𝑚𝑖𝑙𝑒𝑠
ℎ𝑜𝑢𝑟

𝑚𝑖𝑙𝑒𝑠
𝑚𝑖𝑛𝑢𝑡𝑒𝑠
𝑓𝑒𝑒𝑡
6. 15 𝑚𝑖𝑛𝑢𝑡𝑒 
𝑦𝑎𝑟𝑑𝑠
𝑚𝑖𝑛𝑢𝑡𝑒