1.3 Unit Rate

1.3 Unit Rates
Standards
6.RP.2, 6.RP.3, ad 6.RP.3b
Essential Question
How are rates and ratios related?
Vocabulary
• Rate – a ratio comparing two quantities
with different kinds of units.
• Unit Rate – a rate written as a fraction
with a denominator of 1 unit.
• Unit Price – a unit rate that is the cost per
unit.
Steps
• Write the two quantities as a rate.
• Divide both numerator and denominator
by the denominator.
Write each rate as a unit rate.
1.) 44 points in 4 quarters
44 ÷4 11
4 ÷4 1
There is 11 points in every one quarter.
Write each rate as a unit rate.
2.) 125 feet in 5 seconds
125 ÷5 25
5 ÷5 1
She ran 25 feet in 1 second.
Write each rate as a unit rate.
3.) 360 miles traveled on 12 gallons of
gasoline
360 ÷12 30
12 ÷12 1
He travels 30 miles per gallon.
Write each rate as a unit rate.
4.) 12 meters in 28 seconds
12 ÷28 3
7
28 ÷28 1
He ran 3/7 meters in 1 second.
Story Problems
5. Walnut Middle School uses 12 gallons of
water per student each school day.
There are 450 students. On average, how
many gallons are used each hour during
an 8-hour school day?
12 • 450 = 5400
5400
8
÷8
÷8
675
1
675 gallons per
day
Story Problems
6.) For Caroline’s birthday, her mom took
her and 4 friends to a water park.
Carolina’s mom paid $40 for 5 student
tickets. What was the price for one
student ticket?
40
5
÷5
÷5
8
1
She paid $8 for one student.
Building Essential Question
• How are rates and ratios related?
A rate is a ratio that compares two
quantities with different kinds of units,
such as miles per hour.
Summarize
• Make sure you do the summarize section.
Rate Yourself!
_______ I understand how to find an unit
rate.
_______ I still have some questions about
rates.