Real

1
Real World Practice with Rates and Unit Rates
2
Warm Up
OBJECTIVE Students will use unit rates to
compare quantities in real-life
situations. Language Objective Students will use
vocabulary relating to rates like per and for
every.
Kyle can mow 3 lawns in 2 hours. If Kyle takes
the same time to mow each lawn, how long does it
take him to mow 1 lawn? Write a sentence!
Well use a unit rate to solve this question
Hint Convert the time from hours to minutes.
2 hours ? 2 (60 minutes) 120 minutes
120 minutes 3 lawns
40 minutes 1 lawn

This means that Kyle can mow 1 lawn in 40 mins.
Agenda
3
Launch
Please watch the following video on Usain Bolt,
the Olympic Gold Medalist in the Mens 100-meter
spring. Answer the questions below!
http//vimeo.com/46634479
1) How fast does Usain run the 100 meter sprint?
9.69
2) Does he run this race in seconds, minutes or
hours?
9.69 seconds
3) After how many meters can Usain tell if he
will win a race?
After 70 meters
4) What country is Usain from?
Jamaica
Agenda
4
Launch
Hold up! How can we simplify this rate?
Lets find the Usains speed using rates and unit
rates! We will compare distance (meter) to time
(seconds).
100 meters 9.69 seconds
Step 1 Write a rate in fraction form
Step 2 Simplify to write as a unit rate
Lets learn a trick to convert a rate to a unit
rate!
Yahhh! Tricks make math easier!
Agenda
5
Launch
Divide is right!! Lets divide 100 meters by 9.69
to find a unit rate!
What operation does the fraction bar represent in
the ratio?
Lets learn a trick to convert a rate to a unit
rate!
REVIEW
A unit rate is a rate with a denominator of ____
.
A unit rate is a rate with a denominator of _1__
.
100 meters 9.69 seconds
We can write this as division problem
This unit rate means Usain runs 10.32 seconds per
second.
Step 2 Simplify to write as a unit rate
This unit rate also means that in 1 second Usain
Bolt runs 10.32 meters.
Agenda
6
Explore Mini-Lesson
Lets find the unit rate of each real-world
situation! (ex 1) Kenny goes to the grocery
store and buys 5 pounds of Apples for 8.40.
8.40_ 5 pounds
Step 1 Write a rate in fraction form.
Step 2 Divide to find the unit rate. .
8.40 5 pounds 1.68 per pound
What does this unit rate mean?
Kenny paid ____ per ______ of apples. .
Kenny paid 1.68 per pound of apples. .
Agenda
7
Explore Try with a Partner
Lets find the unit rate of each real-world
situation! (ex 2) Michelle is computer
programmer who designs video games. She works
30 hours each week and makes 2,535.
2,535_ 30 hours
Step 1 Write a rate in fraction form.
Step 2 Divide to find the unit rate. .
2,535 30 hours 84.50 per hour
Write a sentence to explain this situation.
Michelle makes 84.50 per hour
Agenda
8
Explore A New Challenge
(ex 3) Cameron has 2 jobs offers as a camp
counselor. At the YMCA, he will be paid 90 for
working 8 hours. At the schools day camp, he
will be paid 78 for working 6.5 hours.
Brainstorm with your partner Which job should
Cameron take?
Use your notes from today to help you!
Agenda
9
Explore A New Challenge
(ex 3) Cameron has 2 jobs offers as a camp
counselor. At the YMCA, he will be paid 90 for
every 8 hours of work. At a school day camp, he
will be paid 78 for every 6.5 hours of work.
Brainstorm with your partner How can we decide
which job pays Cameron the most per hour?
Create a table to organize your work!
YMCA Job School Job
90 8 hours 11.25 per hour 78 6.5 hours 12 per hour
Write a sentence to answer question.
Cameron should choose the school job because he
will make 12 per hour which is 0.75 more than
at the YMCA.
Agenda
10
Explore Practice with a Partner
(ex 4) Maria is a clothing designer and needs to
buy a lot of buttons to make her clothes! The
following shows button advertisements from 2
different stores Button R Us Button-Up!
55 Buttons for 5.50
140 Buttons for 12.60

• Answer the following questions
• What is the unit rate for buttons at Button R
  Us?
• What is the unit rate for buttons at Button-Up?
• Which store do you think Maria should buys
  buttons from?

Agenda
11
Explore Practice with a Partner
Button R Us Button-Up!
55 Buttons for 5.50
140 Buttons for 12.60

• Answer the following questions
• What is the unit rate for buttons at Button R
  Us?
• What is the unit rate for buttons at Button-Up?
• Which store do you think Maria should buys
  buttons from?
• Explain your answer!

5.50 55 buttons 0.10 per button
12.60 140 buttons 0.09 per button
Button-Up is cheaper than Button RUs by 2
cents.
Agenda
12
Challenge Practice with a Partner
Button-Up!
140 Buttons for 12.60
Maria has decided to use the Button-Up! Company!
Remember, she found a unit price of 0.09 per
button. How much would it cost her to buy 500
buttons?
500 buttons x 0.09 per button 45.00
Agenda
13
Assessment
Try on your own Martina drives 360 miles in 6
hours and Carlos drives 248 miles in 4 hours.
Who drives the fastest?
Martina 360 miles 6 hours 60 miles per
hour Carlos 248 miles 4 hours 62 miles
per hour Carlos has a faster rate at 62 miles
per hour!
Agenda
14
Summary Partner Work

• 1) Today, we learned that to compare rates, we
  can first find the ______ ______ .
• A unit rate is a comparison of 2 different
  quantities where one measurement has only _____
  unit.
• We can use unit rates to find things like how
  much a job pays per hour. What other real-world
  examples are there for using unit rates?

unit rate
1
Agenda