Name
6.2
?
Number and
Operations—5.3.I
MATHEMATICAL PROCESSES
5.1.D, 5.1.E
Multiply Fractions and
Whole Numbers
Essential Question
How can you use a model to show the product of a
fraction and a whole number?
Hands
On
Investigate
Investigate
Martin is planting a vegetable garden. Each row is two meters long. He wants
to plant carrots along 3_4 of each row. How many meters of each row will he
plant with carrots?
3×2
Multiply. __
4
Materials ■ fraction strips ■ MathBoard
A. Place two 1-whole fraction strips side-by-side to represent the
length of the garden.
B. Find 4 fraction strips all with the same denominator that fit
exactly under the two wholes.
1
C. Draw a picture of your model.
1
D. Circle 3_4 of 2 on the model you drew.
E. Complete the number sentence.
3 × 2 = __
_
4
So, Martin will plant carrots along __ meters of each row.
Draw Conclusions
1. Explain why you placed four fraction strips with the same denominator
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under the two 1-whole strips.
3
2. Explain how you would model __
10 of 2?
Module 6
251
Make
Make Connections
Connections
You can also use a model to multiply a fraction by a whole number.
Hands
On
Margo was helping clean up after a class party. There were 3 boxes
remaining with pizza in them. Each box had 3_8 of a pizza left. How much
pizza was left in all?
Materials ■ fraction circles
STEP 1 Find 3 × 3_8 . Model three 1-whole fraction circles to represent the
number of boxes containing pizza.
STEP 2 Place 1_8 fraction circle pieces on each circle to represent the amount
of pizza that was left in each box. Shade the fraction circles below
to show your model.
Each circle shows _ eighths of a whole.
The 3 circles show _ eighths of a whole.
STEP 3 Complete the number sentences.
3+3
__
__ + 3
__ =
8
8
8
Math Talk
__
Mathematical Processes
__ = __
3×3
8
So, Margo had __ boxes of pizza left.
Explain how you would
know there is more than
one pizza left.
Share
Share and
and Show
Show
Use the model to find the product.
1
1
2
252
1
1
2
1
2
1
1
2
1
2
1
2
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2. 2 × 5_ = __
6
1. _5 × 3 = __
6
Name
Problem
Problem Solving
Solving
Pose a Problem
3. Tarique drew the model below for a problem. Write 2 problems that
can be solved using this model. One of your problems should involve
multiplying a whole number by a fraction and the other problem should
involve multiplying a fraction by a whole number.
Pose problems.
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4.
Solve your problems.
Multi-Step How could you change the model to give you
an answer of 4 4_5 ? Explain and write a new equation.
Module 6 • Lesson 2
253
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
Fill in the bubble completely to show your answer.
5. Carly mixes vinegar and baking soda for a science project. She has
a spoon that measures 1_4 teaspoon. If she fills the spoon 6 times,
how much baking soda will she have?
A
1 teaspoon
__
B
2 teaspoon
_
3
C
11_ teaspoons
10
2
13_4 teaspoons
D
6. Use Tools Which multiplication problem does the model represent?
1
1
2
A
B
1
1
2
1
2
1
1
2
1
2
1×8
_
2
3
_×4
8
1
1
2
C
D
1
2
1
2
2×3
_
3
1_ × 4
4
7. Multi-Step Josh brought 4 small spinach pies to his baseball team
party. At the end of the party, 3_5 of each pie was left. If Josh gave 2 whole
pies away, what part of a pie did he have left to take home?
A
2
_
5
C
5
_
6
B
1
_
3
D
1_
2
TEXAS Test Prep
8. Katana has a shelf that is 5 feet long. She wants to paint a design
A
12_ feet
B
11_ feet
C
31_ feet
D
254
5
5
2
3 feet
4__
10
© Houghton Mifflin Harcourt Publishing Company
7
along __
10 of the shelf. How many feet of the shelf will Katana
paint a design?
Number and Operations—5.3.I
MATHEMATICAL PROCESSES 5.1.D, 5.1.E
H o mewo rk
and Practice
6.2
Name
Multiply Fractions and Whole Numbers
Use the model to find the product.
9 ×2=_
_
1. ___
__ × 3 = _
2. 3
_
10
4
1
1
5
1
5
1
1
5
1
5
1
5
1
5
1
5
1
5
1
5
1
5
__ × 3 = _
3. 5
_
__ × 4 = _
4. 5
_
8
1
6
1
1
111111111111111111111111
888888888888888888888888
7 ×2=_
5. ___
_
7 ×2=_
6. ___
_
12
10
1
1
6
1
6
1
6
1
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
Problem
Problem Solving
Solving
7. Chef Talbot is baking 6 blueberry pies. If he
_3
4
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uses pint of blueberries in each pie, how many
pints of blueberries will he need?
8. Mr. McGregor pours 3_8 pound of dirt in each of his
4 flower pots. How much dirt does Mr. McGregor
use to fill the 4 pots?
Module 6 • Lesson 2 255
TEXAS Test Prep
Lesson
Lesson Check
Check
Fill in the bubble completely to show your answer.
9. Which multiplication problem does the
10. Which multiplication problem does the
model represent?
model represent?
1
4
A
B
C
D
1
4
1
1
4
1
4
1
4
1
4
1
4
1
4
1×2
__
8
7__ × 2
8
1__ × 4
2
1__ × 8
4
A
B
C
D
11. Marianne is completing a 4-mile route for
1
charity. Every __
10 mile is marked along the
7 mile and
route. For each mile, she runs __
10
3
walks __
10 mile. How many miles does
Marianne run?
A
B
C
D
1 miles
1___
10
24__ miles
5
11__ miles
5
22__ miles
5
B
C
D
256
25__ cups
8
13__ cups
4
51__ cups
4
31__ cups
2
A
D
brownies. His recipe calls for cup of
vegetable oil. How much oil will Colton need
to make 6 dozen brownies?
A
brother runs 5_6 the distance Terrance runs
in one week. How far does Terrance’s brother
run in one week?
C
_7
8
12
7 ×3
___
12
3 ×5
___
12
1__ × 3
2
12. Terrance runs 5 miles each week. His
B
13. Multi-Step Colton’s recipe makes 2 dozen
5 ×3
___
31__ miles
3
41__ miles
6
51__ miles
6
4 miles
14. Multi-Step Kiesha brought 3 loaves of
5
cornbread to a football party. __
12 of each
loaf was eaten. If Kiesha gave 1 whole loaf
of the leftover bread to the party hosts, what
part of a loaf did she have left to take home?
A
B
C
D
3__
4
1__
4
1__
2
7
___
12
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1