Name
6.5
?
Number and
Operations—5.3.J, 5.3.L
MATHEMATICAL PROCESSES
5.1.A, 5.1.B
PROBLEM SOLVING •
Use Multiplication
Essential Question
How can the strategy draw a diagram help you solve fraction
division problems by writing a multiplication sentence?
Unlock
Unlock the
the Problem
Problem
Erica makes 6 submarine sandwiches and cuts each
sandwich into thirds. How many 1_3 -size sandwich
pieces does she have?
Read
Solve
What do I need to find?
Since Erica cuts 6 submarine sandwiches,
my diagram needs to show 6 rectangles to
represent the sandwiches. I can divide each
of the 6 rectangles into thirds.
I need to find _____
.
What information am I given?
I need to use the size of each __ of
sandwich and the number of __ she cuts.
To find the total number of thirds in the
6 rectangles, I can multiply the number of
thirds in each rectangle by the number of
rectangles.
© Houghton Mifflin Harcourt Publishing Company • Image Credits: ©FoodCollection/Superstock
Plan
What is my plan or strategy?
6 ÷ 1_ = 6 × _ = _
I can _____ to
organize the information from the problem.
Then I can use the organized information to find
3
Math Talk
.
Mathematical Processes
Explain how you can
use multiplication to check
your answer.
So, Erica has _ one-third-size sandwich pieces.
Module 6
269
Try
Try Another
Another Problem
Problem
Roberto is cutting 3 blueberry pies into halves to give to his neighbors.
How many neighbors will get a 1_2 -size pie piece?
Read
Solve
What do I need to find?
What information am I given?
Plan
What is my plan or strategy?
So, _ neighbors will get a 1_2 -size pie piece.
• Explain how the diagram you drew for the division problem helps you
270
© Houghton Mifflin Harcourt Publishing Company
write a multiplication sentence.
Name
Share
Share and
and Show
Show
1. A chef has 5 blocks of butter. Each block weighs 1 pound. She cuts
each block into fourths. How many 1_4 -pound pieces of butter does
the chef have?
First, draw rectangles to represent the blocks of butter.
Then, divide each rectangle into fourths.
Finally, multiply the number of fourths in each block by the
number of blocks.
Write Math
Show Your Work
So, the chef has _ one-fourth-pound pieces of butter.
2. What if the chef had 3 blocks of butter and cut the blocks into
thirds? How many 1_3 -pound pieces of butter would the chef have?
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Problem
Problem Solving
Solving
3.
Multi-Step Julie makes a drawing
that is 1_4 the size of the original drawing. Sahil makes
a drawing that is 1_3 the size of the original. A tree in
the original drawing is 12 inches tall. What will be
the difference between the height of the tree in Julie
and Sahil’s drawings?
4.
Use Tools Brianna has a sheet of paper that is 6 feet
long. She cuts the length of paper into sixths and then cuts the
length of each of these 61_ -pieces into thirds. How many pieces does
she have? How many inches long is each piece?
Module 6 • Lesson 5 271
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
Fill in the bubble completely to show your answer.
5. A structure is made out of foam cubes that are each 1_4 foot tall.
The height of the structure is 8 feet. How many cubes were used
to build the structure?
A
2 cubes
B
16 cubes
C
8 cubes
D
32 cubes
6. Use Diagrams Terrance needs to divide 9 by 1_2 . How can he find
the quotient?
A
Draw 9 rectangles and divide each in halves. Count the halves.
B
Draw 9 rectangles and shade 1_2 of each. Count the shaded parts.
C
Shade a rectangle to show 1_2 , and then divide the shaded part
into 9 parts. Find the amount shaded.
D
Draw a rectangle with a length of 9 and a width of 1_2 . Find the area.
7. Multi-Step Dorothy has a ribbon that is 3 feet long, and a ribbon that
is 8 feet long. She needs to cut the ribbon into pieces that are 1_4 foot long.
How many pieces will she have in all?
A
12 pieces
B
32 pieces
C
11 pieces
D
44 pieces
8. Adrian made 3 carrot cakes. He cut each cake into fourths.
How many 1_4 -size cake pieces does he have?
272
A
16
C
1
B
12
D
11_
3
© Houghton Mifflin Harcourt Publishing Company
TEXAS Test Prep
Number and Operations—5.3.J,
5.3.L
MATHEMATICAL PROCESSES 5.1.A, 5.1.B
H o mewo rk
and Practice
6.5
Name
•
Use Multiplication
PROBLEM SOLVING
1. Julian wants to put a border around two sides
of his rectangular shaped garden. He has a
12-foot piece of lumber that will be cut into
1_ -foot pieces. How many 1_ -foot pieces can
3
3
Julian cut from the lumber?
3. Kim has 5 yards of denim. She cuts each yard of
denim into thirds. How many 1_3 -yard pieces of
denim does she have?
2. The camp counselors bought a 6-pound bag
of raisins for an afternoon snack for the campers.
If the counselors package the raisins into
1_ -pound individual servings, how many
8
individual servings can they make?
4. If it takes Fran 1_5 of an hour to paint one section
of the fence, how many sections can she paint
in 2 hours?
Problem
Problem Solving
Solving
5. You plan to sell pumpkin pie slices at the fall
_1 -size pieces, how
8
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festival. If you cut 4 pies into
many slices will you have to sell? Describe your
strategy for solving the problem.
6. Marcel has 6 strips of paper. Each strip is 1 foot
long. He folds each strip into 1_4 -foot sections.
Describe how you can draw a diagram to find
the number of sections Marcel made when he
folded the paper strips.
Module • Lesson 5 273
TEXAS Test Prep
Lesson
Lesson Check
Check
Fill in the bubble completely to show your answer.
7. The students in Mrs. Lester’s fifth-grade class
8. Jake’s Cafe receives a 10-pound delivery of
are planting seeds in individual pots.
Mrs. Lester supplied 8 pounds of potting soil.
If each pot holds 1_4 pound of soil, how many
pots can the students fill?
ground beef each day. How many 1_4 -pound
hamburgers can Jake make each day?
12
B
32
C
16
D
36
40
B
14
C
44
D
20
9. Mrs. Miller is cutting 2 pizzas into eighths for
10. A home building company purchases 24 acres
_1 -size
8
of land and divides it into 1_2 -acre plots for sale.
How many 1_2 -acre plots will be for sale?
students. How many students will get a
slice of pizza?
A
4
A
6
B
8
B
24
C
16
C
12
D
6
D
48
11. Multi-Step Cleo bought 10 feet of ribbon
274
12. Multi-Step Reese brought 2 sandwiches for
for costumes. He used 2 feet of ribbon last
week. He cut the remaining ribbon into 1_6 -foot
pieces. How many pieces of ribbon does
Cleo have?
her school lunch. Each sandwich was cut into
fourths. After she ate lunch, Reese has 3 pieces
of sandwich left. How many pieces did
Reese eat?
A
48
A
5
B
60
B
3
C
72
C
2
D
12
D
1
© Houghton Mifflin Harcourt Publishing Company
A
A