Multiply with 3 and 6
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.
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.
