Unit Rates (with Fractions)
•Notes Pages
•Practice Page
Includes an Exit Slip!
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From a Love
Possible Directions:
First two pages:
1. Copy enough for all students (not back-toback)
2. Go through the example as a whole class,
having students fill out the notes page as you
go.
3. With the two practice problems, you can
complete it as a whole class or give time to
try the two problems independently or with
partners.
4. Have students cut both pages out and glue
them into their notebooks.
Extra Practice Sheet:
Can be assigned for homework or in-class
practice, or given as an assessment.
Thanks!
From a Love
Cut along the dotted lines and glue it into your notebook.
Learning Target: I can compute unit rates associated
with ratios of fractions
Skills Review: Dividing Fractions
1 1
1) 2 ÷ 4
1
3) ÷ 2
4
Concept Review: Unit Rates
What is a unit rate?
1 2
2) 3 ÷ 5
Mike walked 5 blocks in 15 minutes.
How many minutes did it take for him
to walk one block? Show your work
and label your answer with
appropriate units.
7
4) 4 ÷
8
Vocabulary
complex fraction -
Examples
1
2
4
6
3
4
1
3
7
8
Simplify by Dividing
©2014 Math on the Move
From a Love
Cut along the dotted lines and glue it into your notebook.
Learning Target: I can compute unit rates associated
with ratios of fractions
Example #1 - Practice
1
It took Jenny 2 hours to knit 3 of a scarf. How many hours
will it take for her to make one scarf?
1. Set up the
ratio
2. Simplify
3. Label with
appropriate units
Example #2 - Try it Out!
1
1
Mike read 4 of the newspaper in 3 of an hour. How long did
it take him to read the whole paper?
1. Set up the
ratio
2. Simplify
3. Label with
appropriate units
©2014 Math on the Move
From a Love
Unit Rates with Complex Fractions
Name: ______________________
Date: _______________________
Show your work and label answers with appropriate units.
1
Joe painted 1 of a bedroom in 1 a day. How many days will it take for Joe
2
4
to paint one bedroom?
1. Set up the
ratio
2
2. Simplify
A turtle walked 1 of a mile in 1 of an hour. How many miles will the turtle
2
8
walk in one hour?
1. Set up the
ratio
3
3. Label with
appropriate units
1
2. Simplify
3. Label with
appropriate units
1
Abby read 10 of a novel in 2 an hour. How long will it take her to read
one novel?
1. Set up the
ratio
2. Simplify
3. Label with
appropriate units
©2014 Math on the Move
From a Love
Unit Rates with Complex Fractions
Exit Slip
Name: ______________________
Date: _______________________
Show your work and label answers with appropriate units.
1
Tina painted 1 of a bedroom in 3 a day. How many days will it take for
2
Tina to paint one bedroom?
1. Set up the
ratio
4
2. Simplify
3. Label with
appropriate units
©2014 Math on the Move
Unit Rates with Complex Fractions
Exit Slip
Name: ______________________
Date: _______________________
Show your work and label answers with appropriate units.
1
Tina painted 1 of a bedroom in 3 a day. How many days will it take for
2
Tina to paint one bedroom?
1. Set up the
ratio
4
2. Simplify
3. Label with
appropriate units
©2014 Math on the Move
From a Love
Cut along the dotted lines and glue it into your notebook.
Learning Target: I can compute unit rates associated
with ratios of fractions
Skills Review: Dividing Fractions
1 1
1) 2 ÷ 4
1
2
·
4
1.
1
3
1
3) ÷ 2
4
·
What is a unit rate?
1 2
2) 3 ÷ 5
·
A rate with a denominator of 1
5
2.
Mike walked 5 blocks in 15 minutes.
How many minutes did it take for him
to walk one block? Show your work
and label your answer with
appropriate units.
5
6
2
1
4
Concept Review: Unit Rates
7
4) 4 ÷
8
1
2
4
1
1
8
·
3 minutes
15 minutes
8
7
3 blocks
=
1 blocks
4 4
7
Vocabulary
complex fraction - A fraction where the numerator, the
denominator or both contain a fraction
Examples
1
2
1
3
6
1
2
4
÷
4
1.
3
4
6
1
÷
3
4.
7
8
1
3
÷
7
8.
Simplify by Dividing
1
2
·
1 = 1
4.
8
6
1
·
4 =
8
3.
1
3
·
8 = 8
7.
21
©2014 Math on the Move
From a Love
Cut along the dotted lines and glue it into your notebook.
Learning Target: I can compute unit rates associated
with ratios of fractions
Example #1 - Practice
1
It took Jenny 2 hours to knit 3 of a scarf. How many hours
- Have students highlight to figure
will it take for her to make one scarf? NOTE
out what will be in the denominator
1. Set up the
ratio
2 hours
2. Simplify
3. Label with
appropriate units
1
2 ÷
6 hours
3
1
scarf
3
2
·
1 scarf
3=6
Example #2 - Try it Out!
1
1
Mike read 4 of the newspaper in 3 of an hour. How long did
it take him to read the whole paper?
1. Set up the
ratio
1
3
hour
1
4
paper
2. Simplify
3. Label with
appropriate units
1 ÷ 1
3
4
1⅓ hours
1
3
·
1 paper
4
1.
©2014 Math on the Move
From a Love
Unit Rates with Complex Fractions
KEY
Name: ______________________
Date: _______________________
Show your work and label answers with appropriate units.
1
Joe painted 1 of a bedroom in 1 a day. How many days will it take for Joe
2
4
to paint one bedroom?
1. Set up the
ratio
2. Simplify
1
2 day
1
2
1
bedroom
4
2
2 days
1 bedroom
A turtle walked 1 of a mile in 1 of an hour. How many miles will the turtle
2
8
walk in one hour?
1. Set up the
ratio
2. Simplify
1
mile
8
1
8
1
hour
2
3
·
4
1.
3. Label with
appropriate units
1
·
2
1.
3. Label with
appropriate units
1/4 miles
1 hour
1
Abby read 10 of a novel in 2 an hour. How long will it take her to read
one novel?
1. Set up the
ratio
1
hour
2
1
novel
10
2. Simplify
1
2
·
10
1.
3. Label with
appropriate units
5 hours
1 novel
©2014 Math on the Move
From a Love
Unit Rates with Complex Fractions
Exit Slip
KEY
Name: ______________________
Date: _______________________
Show your work and label answers with appropriate units.
1
Tina painted 1 of a bedroom in 3 a day. How many days will it take for
4
2
Tina to paint one bedroom?
1. Set up the
ratio
3
4
2. Simplify
3
4
1
2
·
2
1.
3. Label with
appropriate units
1.5 days
1 bedroom
©2014 Math on the Move
Unit Rates with Complex Fractions
Exit Slip
Name: ______________________
Date: _______________________
Show your work and label answers with appropriate units.
1
Tina painted 1 of a bedroom in 3 a day. How many days will it take for
2
Tina to paint one bedroom?
1. Set up the
ratio
4
2. Simplify
3. Label with
appropriate units
©2014 Math on the Move
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