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Chapter 7
Name
Review/Test
4. Miguel’sclasswenttothestatefair.Thefairgroundisdividedinto
6ofthefairground.Gamesarein__
2ofthe
sections.Ridesarein__
10
10
1ofthefairground.
fairground.Farmexhibitsarein__
10
Personal Math Trainer
Chapter 7 Review/Test
DO NOT EDIT
CorrectionKe
Online Assessment
and Intervention
Part A
1. A painter mixed 1_4 quart of red paint with 3_4 blue paint to make
Usethemodel.Whatfractionofthefairgroundisridesandgames?
purple paint.
1
Summative Assessment
4​
​8​​​or​​_
Thefractionofthefairgroundwithgamesandridesis __
10
5 .
5
_1
​__
10​​​ or​​​2​​ greater;​Possible​explanation:​I​could​shade​
6​sections​to​represent​the​section​with​the​rides,​and​then​
I​could​cross​out​1​section​to​represent​the​farm​exhibits.​
This​leaves​5​sections,​so​the​part​of​the​fairground​with​
5​​​ or​​​_
1
__
rides​is​​​10
2​​ greater​than​the​part​with​farm​exhibits.
2. Ivan biked 1 2_3 hours on Monday, 2 31_ hours on Tuesday, and 2 32_
hours on Wednesday. What is the total number of hours Ivan
spent biking?
Ivan spent
_
62
3
hours biking.
Personal Math Trainer
3.
© Houghton Mifflin Harcourt Publishing Company
Chapter Essential Question
• Why do you add or subtract the
numerators and not the denominators?
• How do you know that your sum
or difference is reasonable?
Howmuchgreateristhepartofthefairgroundwithrides
thanwithfarmexhibits?Explainhowthemodelcouldbeused
tofindtheanswer.
quart of purple paint
5. Ritaismakingchili.Therecipecallsfor2_34cupsoftomatoes.How
manycupsoftomatoes,writtenasafractiongreaterthanone,are
usedintherecipe?
Tricia had 4 1_8 yards of fabric to make curtains.
When she finished she had 2 3_8 yards of fabric left. She said she
used 2 2_8 yards of fabric for the curtains. Do you agree? Explain.
SMARTER
__​​
​11
No; Possible explanation: When I subtract 2 3_8 from 4 1_8 ,
the answer is not 2 2_8 . The mixed number 4 1_8 needs to be
regrouped as a mixed number with a fraction greater
than 1. 4 1_8 = 3 9_8 , so 3 9_8 − 2 3_8 = 1 6_8 or 1 3_4 .
6.
4
cups
9 ofthe
Lamar’smomsellssportsequipmentonline.Shesold__
10
9canbewrittenasasumof
sportsequipment.Selectaway__
10
fractions.Markallthatapply.
1+__
1+__
1+__
1+__
2
A __
4+__
1+__
1+__
3
D __
3+__
2+__
3+__
1
B __
4+__
3+__
1+__
1+__
1
E __
10
10
10
10
10 10 10 10
2+__
2+__
2+__
2 C __
10 10 10 10
Assessment Options
Chapter Test
Chapter 7 447
10
10
10
10
10
10 10 10 10
2+__
2+__
2+__
3
F __
10 10 10 10
10
448
448
2/28/14 9:49 4_MNLESE342255_C07RT.indd
PM
4_MNLESE342255_C07RT.indd 447
Data-Driven Decision Making
Based on the results of the Chapter Review/Test use the
following resources to review skills.
3
2
1
Content Focus
12/02/14 7:41 AM
Chapter 7
Personal
Math Trainer
Item
Lesson
Standard
1, 4, 8, 13
7.3
4.NF.B.3d
Solve word problems involving addition of
fractions having like denominators using models.
4.NF.B.3d
R—7.3
2, 12, 20
7.7
4.NF.B.3c
Add and subtract mixed numbers with like
denominators.
4.NF.B.3c
R—7.7
3, 11
7.8
4.NF.B.3c
Subtract mixed numbers with renaming.
4.NF.B.3c
R—7.8
4, 14
7.4
4.NF.B.3d
Solve word problems involving subtraction of
fractions having like denominators using models.
4.NF.B.3d
R—7.4
5, 16, 21
7.6
4.NF.B.3b
Rename mixed numbers as fractions greater than
1 and rename fractions greater than 1 as mixed
numbers.
4.NF.B.3b
R—7.6
6
7.2
4.NF.B.3b
Decompose a fraction into a sum of fractions with
the same denominator in more than one way.
4.NF.B.3b
R—7.2
7, 15, 19
7.1
4.NF.B.3a
Understand addition and subtraction of fractions
as joining and separating parts referring to the
same whole.
4.NF.B.3a
R—7.1
9
7.9
4.NF.B.3c
Use properties of operations to add fractions with
like denominators.
4.NF.B.3c
R—7.9
10
7.5
4.NF.B.3d
Solve word problems involving addition and
subtraction of fractions having like denominators
using equations.
4.NF.B.3d
R—7.5
17, 18
7.10
4.NF.B.3d
Solve multistep word problems involving addition
and subtraction of fractions with the same
denominator.
4.NF.B.3d
R—7.10
Key: R—Reteach (in the Chapter Resources)
447–448 Chapter 7
Intervene With
© Houghton Mifflin Harcourt Publishing Company
4 or 1
_
4
You may want to review with
students the essential question for
the chapter.
Ask the following questions to
focus students’ thinking:
Part B
How much purple paint did the painter make?
© Houghton Mifflin Harcourt Publishing Company
Use the Chapter Review/Test to
assess students’ progress in
Chapter 7.
How do you add or subtract fractions that have the same
denominator?
1 1 1 1 1 1 1 1 1 1
10 10 10 10 10 10 10 10 10 10
Name
10. For numbers 10a–10e, select Yes or No to show if the sum or
difference is correct.
8 gallon of water on a hiking trip. She drank
7. Bella brought __
10
6 gallon of water. How much water is left?
__
10
2 + 1_ = 3_
_
8 8 8
4+_
1=_
5
_
5 5 5
5
10c. _4 + _1 = __
6 6 12
6 – __
4 = __
2
10d. __
12 12 12
10e. _7 – _2 = _9
9 9 9
2 or 1
__
_
5 gallon
10
6 of the students chose Saturday and __
1 chose
8. In a survey, __
10
10
Monday as their favorite day of the week. What fraction shows the
students who chose Saturday or Monday as their favorite day?
Part A
Yes
No
10b.
Yes
No
Yes
No
Yes
No
Yes
No
Gina has 5 _26
11.
Shade the model to show your answer.
10a.
Performance
Assessment Task
Chapter 7
feet of silver ribbon and 2 6_4
of gold ribbon. How much
more silver ribbon does Gina have than gold ribbon?
1
12. Jill is making a long cape. She needs 4 1_3 yards of blue fabric for the
7
__
outside of the cape. She needs 3 2_3 yards of purple fabric for the
lining of the cape.
of the students chose Monday or Saturday.
10
Part B
Part A
How are the numerator and denominator of your answer related
to the model? Explain.
For each task, you will find
sample student work for each
of the response levels in the
task scoring rubric.
Jill incorrectly subtracted the two mixed numbers to find how
much more blue fabric than purple fabric she should buy. Her
work is shown below.
Possible explanation: The numerator shows the
number of parts shaded. The denominator shows the
size of the parts.
__ – 9
_=3
_
41_ – 32_ = 12
3
3
3
3
3
Why is Jill’s work incorrect?
9. Match the equation with the property used.
) (
(
(
)
10
10 10
10 10
10
11_ + 3 + 21_4 = 11_4 + 21_ + 3
4
4
6 + __
9 = 2__
6 + __
9
1 + 3__
1 + 3__
2__
10 10
10
10
10
10
3_4 + 2_1 + 6_3 = 2_1 + 3_4 + 63_
7
7
7
7
7
7
© Houghton Mifflin Harcourt Publishing Company
)
)
(
)
(
(
)
(
)
(
Possible explanation: Jill changed only the whole number
parts of the mixed number to thirds. She forgot to add the
fraction part of the mixed number.
•
•
) •
•
•
•
Commutative Property
Part B
Associative Property
© Houghton Mifflin Harcourt Publishing Company
6 + __
4 + __
3 = __
6 + __
3
4 + __
__
How much more blue fabric than purple fabric should Jill buy?
Show your work.
_ − 32
_ = 13
__ − 11
__ = 2
_
41
3
3
3
3
3
Jill should buy _23 yard more blue fabric than purple fabric.
Chapter 7
449
Name
450
Performance
Assessm
Assessment
Tasks may be
used for portfolios.
Be sure to assign
students Exercise 3 in
the Personal Math Trainer. It
features an animation or video
to help students model and
solve the problem.
18. Three girls are selling cases of popcorn to earn money for a band
trip. In week 1, Emily sold 2 3_4 cases, Brenda sold 4 1_4 cases, and
Shannon sold 3 1_2 cases.
13. Russ has two jars of glue. One jar is 1_5 full. The other jar is 2_5 full.
1
5
2
5
Part A
How many cases of popcorn have the girls sold in all? Explain how
you found your answer.
10 1_2 cases; possible explanation: first I add the whole
numbers, 2 + 4 + 3 = 9 cases. Then I add the fractions by
combining 3_4 + 1_4 into one whole. So 9 + 1 + 1_2 = 10 1_2 .
Use the fractions to write an equation to find the amount of glue
Russ has.
1
__
5
3
__
5
2
__
5
1
_
5
4
__
5
+
2
_
5
=
_3
4
3
_
5
Part B
_2
4
The girls must sell a total of 35 cases in order to have enough
money for the trip. Suppose they sell the same amount in week 2
and week 3 of the sale as in week 1. Will the girls have sold enough
cases of popcorn to go on the trip? Explain.
14. Gertie ran mile during physical education class. Sarah ran mile
during the same class. How much farther did Gertie run than
Sarah? Shade the model to show your answer.
No; possible explanation: if I add the sales from the
3 weeks, or 10 1_2 + 10 1_2 + 10 1_2 , the sum is only 31 1_2 cases
of popcorn. This is less than 35 cases.
1
_
4
mile farther than Sarah.
19. Henry ate 3_8 of a sandwich. Keith ate 4_8 of the same sandwich. How
_2
8
15. Teresa planted marigolds in of her garden and petunias in
_3
8
much more of the sandwich did Keith eat than Henry?
of her garden. What fraction of the garden has marigolds
and petunias?
Teresa’s garden has
5
_
8
1
_
8
marigolds and petunias.
16. Draw a line to show the mixed number and fraction that have the
© Houghton Mifflin Harcourt Publishing Company
same value.
17.
•
32_
•
45_
•
23_
•
23_
•
21
__
8
•
37
__
3
•
21
__
7
•
37
__
8
7
8
5
8
4
14_ + 26_ is equal to 41_.
True
False
20b.
35_ + 23_ is equal to 52_.
True
False
True
False
True
False
9
9
9
21. Justin lives 4 3_5 miles from his grandfather’s house. Write the mixed
number as a fraction greater than one.
43_ =
2
3
20a.
6
6
6
20c. 45_ – 24_ is equal to 23_.
8
8
8
20d. 5_5 – 3_2 is equal to 2_3.
8
8
8
DEEPER
Each day, Tally’s baby sister eats 1_4 cup of rice cereal in
the morning and 1_4 cup of rice cereal in the afternoon.
It will take Tally’s sister
of the sandwich
20. For numbers 20a–20d, choose True or False for each sentence.
5
days to eat 2 cups of rice cereal.
Chapter 7
451
23
__
5
© Houghton Mifflin Harcourt Publishing Company
Gertie ran
452
Chapter 7 Review/Test 449–452
Chapter 7 Review/Test
See the Chapter Resources for a
Performance Task that assesses
students’ understanding of the
content of this chapter.
2
_ or 2_
24
6
3 feet more silver ribbon
1 1 1 1 1 1 1 1 1 1
10 10 10 10 10 10 10 10 10 10