Name
7.3
?
Number and
Operations—3.4.E, 3.4.K
Also 3.4.D, 3.5.B, 3.5.D
MATHEMATICAL PROCESSES
3.1.C, 3.1.D, 3.1.F
Multiply with 3 and 6
Essential Question
What are some ways to multiply with 3 and 6?
Unlock
Unlock the
the Problem
Problem
Sabrina is making triangles with
toothpicks. She uses 3 toothpicks for
each triangle. She makes 4 triangles.
How many toothpicks does Sabrina use?
• Why does Sabrina need
3 toothpicks for each triangle?
Draw a picture.
STEP 1
Complete the 4 triangles.
STEP 2
Skip count by the number of sides. _ ,
_, _, _,
How many triangles are there in all? __
Math Talk
Mathematical Processes
How many toothpicks are in each triangle? __
How can you use what you know
about the number of toothpicks
needed for 4 triangles to find the
number of toothpicks needed for
8 triangles? Explain.
How many toothpicks are there in all?
4×_=_
4 triangles have _ toothpicks.
So, Sabrina uses _ toothpicks.
© Houghton Mifflin Harcourt Publishing Company
Jessica is using craft sticks to make
6 octagons. How many craft sticks will
she use in all?
▲ An octagon
has 8 sides.
Use doubles.
When at least one factor is an even number, you can use doubles.
6×8=■
First multiply with half of an even number.
3×8=_
After you multiply, double the product.
_ + 24 = _
6×8=_
Module 7
223
0
1
2
3
4
5
6
7
8
9 10
0
0
0
0
0
0
0
0
0
0
0
1
0
1
2
3
4
5
6
7
8
9 10
2
0
2
4
6
8 10 12 14 16 18 20
3
0
3
6
9 12 15 18 21 24 27 30
4
0
4
8 12 16 20 24 28 32 36 40
5
0
5 10 15 20 25 30 35 40 45 50
6
0
6 12 18 24 30 36 42 48 54 60
7
0
7 14 21 28 35 42 49 56 63 70
8
0
8 16 24 32 40 48 56 64 72 80
9
0
9 18 27 36 45 54 63 72 81 90
10
0 10 20 30 40 50 60 70 80 90 100
Another Way
Use a multiplication table.
Find the product 6 × 8 where
row 6 and column 8 meet.
6×8=_
• Shade the row for 3 in the table. Then,
compare the rows for 3 and 6. What do
you notice about their products?
0
Share
Share and
and Show
Show
1.
Use 5s facts and addition to find 6 × 4 = ■.
Math Talk
Mathematical Processes
6 × 4 = 5 × 4 + 4 = 24
Explain how you would
use 5s facts and addition
to find 6 × 3.
5×4
6×4=_
+4
Find the product.
2.
6×1=_
3.
_=3×7
4.
_=6×5
5.
3×9=_
Multiply by 3.
Factor
6.
7.
224
Multiply by 6.
Product
4
18
Factor
Product
8.
5
30
9.
7
Multiply by
Factor
Product
10.
3
15
11.
2
.
© Houghton Mifflin Harcourt Publishing Company
Algebra Complete the table.
Name
Problem
Problem Solving
Solving
Use the table for 12–13.
© Houghton Mifflin Harcourt Publishing Company
12.
Use Tools The table tells about quilt pieces
Jenna has made. How many squares are there
in 6 of Jenna’s quilt pieces?
13.
Compare How many more squares than
triangles are in 3 of Jenna’s quilt pieces?
14.
Multi-Step Alli had
some craft sticks. She decided to
make shapes. If she used one
craft stick for each side of the
shape, would Alli use more
craft sticks for 5 squares or
6 triangles? Explain.
15.
Multi-Step Draw a picture
and use words to explain the Commutative
Property of Multiplication with the factors
3 and 4.
Quilt Pieces
Shape
Number in One
Quilt Piece
Square
6
Triangle
4
Circle
4
Write Math
Show Your Work
Module 7 • Lesson 3
225
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
Fill in the bubble for the correct answer choice.
Use multiplication strategies to solve.
16.
17.
18.
Each day a hornworm eats 8 leaves. How many leaves
will the hornworm eat in 3 days?
A
21
B
11
C
24
D
16
Representation Which shows a way to use a 5s fact to
find 6 × 9?
A
5×9+9
B
5×9+5
C
5×5+5
D
5×9+6
Multi-Step Bobbie has 4 packs of trading cards. Each
pack holds 6 cards. Bobbie gives 6 of the cards to his
sister. How many cards does Bobbie have left?
A
2
C
18
B
24
D
36
TEXAS Test Prep
226
There are 8 crayons in each of 6 packages. How many
crayons are there?
A
24
B
14
C
2
D
48
© Houghton Mifflin Harcourt Publishing Company
19.
Number and Operations—3.4.E, 3.4.K
Also 3.4.D, 3.5.B, 3.5.D
MATHEMATICAL PROCESSES 3.1.C, 3.1.D, 3.1.F
H o mewo rk
and Practice
7.3
Name
Multiply with 3 and 6
Algebra Complete the table.
Multiply by 6.
Multiply by 3.
Factor
1.
2.
Factor
Product
15
7
3.
5.
6.
48
Craft Stick Animals
Joella makes 6 craft stick birds. How
many craft sticks does Joella use?
Lebraun makes 3 dogs and 2 birds.
Does he use more craft sticks for the
birds or for the dogs?
6
4.
Use the table for 5–8.
Product
Animal
Shape
7.
Number of Craft
Sticks
Dog
5
Cat
8
Bird
6
Ariel makes 2 cats and 2 dogs. How
many more craft sticks does she
need to make the cats?
Problem
Problem Solving
Solving
© Houghton Mifflin Harcourt Publishing Company
8.
Sam makes 3 dogs and 2 cats. Does he need more craft
sticks for the dogs or for the cats? Explain.
Module 7 • Lesson 3 227
TEXAS Test Prep
Lesson
Lesson Check
Check
Fill in the bubble completely to show your answer.
11.
13.
228
Each day Mr. Mosell drives a total
of 8 miles to work and back. How
many miles does Mr. Mosell drive in
5 days?
A
45 miles
B
40 miles
C
13 miles
D
58 miles
Terrel wants to use a 5s fact to
multiply 6 × 8. Which expression
can Terrel use?
10.
12.
Tanya walks 3 miles every day for
one week. How many miles does
Tanya walk in all?
A
7 miles
B
15 miles
C
3 miles
D
21 miles
Anita wants to use a 5s fact to
multiply 6 × 3. Which expression
can Anita use?
A
5×5+8
A
5×3+3
B
5×8+5
B
5×3×5
C
5×8+8
C
5×3+5
D
6×8+5
D
5×3+6
Multi-Step Milo collects 6 boxes
of shells. Each box holds 7 shells.
Milo gives 2 boxes of shells to his
friend. How many shells does
Milo have left?
14.
Multi-Step Henley collects 3 eggs
from each of the nests of 9 chickens.
Henley uses 6 eggs to make
breakfast. How many eggs does
Henley have left?
A
30
A
21
B
42
B
27
C
14
C
18
D
28
D
54
© Houghton Mifflin Harcourt Publishing Company
9.