Lesson 1: Using Doubles to Multiply
1.a)Write a multiplication fact for this array.
b)Double one factor in the multiplication fact.
Make an array for this fact.
Write a multiplication fact for this array.
2.One can has 3 tennis balls.
a)How many tennis balls are in 2 cans?
b)How many tennis balls are in 4 cans?
c)How many tennis balls are in 8 cans?
Lesson 2: Multiplying by 1, by 0, and by 10
1.Multiply. What do you notice?
a) 1 × 1b) 2 × 1c) 3 × 1d) 4 × 1e) 5 ×1f) 6 × 1
2.Multiply. What do you notice?
a) 2 × 0b) 3 × 0c) 4 × 0d) 5 × 0e) 6 × 0f) 7 × 0
3.Multiply. What do you notice?
a) 1 × 10b) 2 × 10c) 3 × 10d) 4 × 10e) 5 × 10f) 6 × 10
4.Rahul found 7 pennies in his pocket.
How much money did Rahul find?
Write a multiplication fact.
5.Herman checked his 4 pockets.
The pockets were empty.
How much money did Herman find?
Write a multiplication fact.
6.Sari found 5 dimes in her pockets.
How many cents did Sari find?
Write a multiplication fact.
Lesson 3: Using Skip Counting to Multiply
1.Use skip counting to complete these rows
from a multiplication chart.
2.Multiply.
How does knowing the first fact help you find the second fact?
8 × 3 = 24, then 8 × 4 = ______
4 × 7 = 28, then 5 × 7 = ______
6 × 6 = 36, then 7 × 6 = ______
Lesson 4: Other Strategies for Multiplying
1.Multiply. What strategies did you use?
a) 8 × 2b) 8 × 4 c) 8 × 6 d) 8 × 8
e) 6 × 4f) 5 × 4 g) 3 × 4 h) 2 × 4
2.Multiply. What strategies did you use?
a) 6 × 8b) 7 × 6 c) 6 × 6 d) 4 × 6
3.Multiply. What strategies did you use?
a) 9 × 9b) 4 × 5 c) 5 × 8 d) 6 × 9
e) 7 × 9f) 8 × 7 g) 4 × 7 h) 7 × 7
4.Name two multiplication facts that help you find the product of 5 × 6.
Lesson 5: Using Patterns in a Multiplication Chart
1.Multiply. What strategy did you use?
a) 5 × 8b) 6 × 9c) 7 × 4d) 9 × 5e) 7 × 7
2.There are 9 players on a baseball team.
How many players are on 8 teams?
Write a multiplication fact to explain your answer.
3.If you know 9 × 6, what else do you know?
4.Find each missing number.
a) 6 × 4 = ____ × 6b) 9 × 5 = 5 × ____c) ____ × 7 = 7 × 6
Lesson 7: Using Arrays to Divide
1.Write a division sentence for each array.
a) b)
2.Complete each division sentence.
a) 9 ÷1 = b) 24 ÷ 8 = c) 30 ÷ 6 = d) 18 ÷ 6 =
3.A classroom has 32 desks arranged in 8 equal rows.
How many desks are in each row?
Lesson 8: Relating Multiplication and Division
1.Write a multiplication fact and a division fact for each array.
a)
b)
2.Use multiplication facts to help you divide.
a)7 × 7 = 49b)9 × 6 = 54c)5 × 6 = 30
49 ÷ 7 = ______54 ÷ 6 = ______30 ÷ 6 = ______
Lesson 9: Dividing by Numbers from 1 to 9
1.Find each product.
Then write a different multiplication fact and two division facts.
a)7 × 6 = ______b)9 × 8 = ______c)4 × 8 = ______
2.Write four related facts for each set of numbers.
a)8, 6, 48b)3, 9, 27c)9, 7, 63
3.Divide.
a) 8 ÷ 1b) 40 ÷ 8c) 81 ÷ 9d) 64 ÷ 8e) 18 ÷ 9
f) 25 ÷ 5g) 9 ÷ 9h) 42 ÷ 7i) 36 ÷ 6j) 35 ÷ 7
Lesson 10: Pose and Solve Problems
1.A movie ticket costs $8.
Janie has $40.
She wants to buy tickets for herself and 4 friends.
Does she have enough money?
How do you know?
2.A bag of popcorn costs $3.
A drink costs $2.
Sami buys 5 bags of popcorn and 5 drinks.
How much does Sami spend?
Extra Practice 1 – Master 3.26
Lesson 1: Using Doubles to Multiply
1.a)3 × 4 = 12 or 4 × 3 = 12
b)6 × 4 = 24 or 3 × 8 = 24 or
4 × 6 = 24 or 8 × 3 = 24
2.a) 6 balls in 2 cans
b) 12 balls in 4 cans
c) 24 balls in 8 cans
Lesson 2: Multiplying by 1, by 0, and by10
1.The product is the same as the factor that is not1.
a) 1 b) 2 c) 3 d) 4 e) 5 f) 6
2.When you multiply by 0, the product is always 0.
a) 0 b) 0c) 0 d) 0 e) 0 f) 0
3.When you multiply by 10, the product has a 0 in the ones place and the number in the tens place is the same as the factor that is not 10.
a) 10 b) 20 c) 30 d) 40 e) 50 f) 60
4.7 cents; 7 × 1 = 7
5.0 cents; 4 × 0 = 0
6.50 cents; 5 × 10 = 50
Extra Practice 2 – Master 3.27
Lesson 3: Using Skip Counting to Multiply
1.
× / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 95 / 10 / 15 / 20 / 25 / 30 / 35 / 40 / 45
6 / 12 / 18 / 24 / 30 / 36 / 42 / 48 / 54
2.a) 32; add 8 more
b) 35; add 7 more
c) 42; add 6 more
Lesson 4: Other Strategies for Multiplying
Strategies may vary.
1.a) 16 b) 32 c) 48 d) 64
e) 24 f) 20 g) 12 h) 8
2.a) 48 b) 42 c) 36 d) 24
3.a) 81 b) 20 c) 40 d) 54
e) 63 f) 56 g) 28 h) 49
4.Find 5 × 3, then double it.
Or, I could find 5×5, then add 5 × 1.
Extra Practice 3 – Master 3.28
Lesson 5: Using Patterns in a Multiplication Chart
1.a) 40 b) 54 c) 28 d) 45 e) 49
2.9 × 8 = 72
3.6 × 9
4.a) 4 b) 9 c) 6
Lesson 7: Using Arrays to Divide
1.a)20 ÷ 4 = 5 or 20 ÷ 5 = 4
b)21 ÷ 7 = 3 or 21 ÷ 3 = 7
2.a) 9 b) 3 c) 5 d) 3
3.4
Extra Practice 4 – Master 3.29
Lesson 8: Relating Multiplication and Division
1.a)5 × 7 = 35 or 7 × 5 = 35;
35 7 = 5 or 35 5 = 7
b)3 × 9 = 27 or 9 × 3 = 27;
27 3 = 9 or 27 9 = 3
2.a) 7 b) 9 c) 5
Lesson 9: Dividing by Numbers from 1to9
1.a) 42; 6 × 7 = 42; 42 ÷ 7 = 6; 42 ÷ 6 = 7
b) 72: 8 × 9 = 72; 72 ÷ 9 = 8; 72 ÷ 8 = 9
c) 32; 8 × 4 = 32; 32 ÷ 8 = 4; 32 ÷ 4 = 8
2.a) 8 × 6 = 48; 6 × 8 = 48; 48 ÷ 8 = 6; 48 ÷ 6 = 8
b) 3 × 9 = 27; 9 × 3 = 27; 27 ÷ 3 = 9; 27 ÷ 9 = 3
c) 9 × 7 = 63; 7 × 9 = 63; 63 ÷ 9 = 7; 63 ÷ 7 = 9
3.a) 8 b) 5 c) 9 d) 8 e) 2
f) 5 g) 1 h) 6 i) 6 j) 5
Extra Practice 5 – Master 3.30
Lesson 10: Pose and Solve Problems
1.Yes, because 5 people are going to the movies. Each ticket is $8.
8 × 5 = 40; that means the tickets cost $40.
2.Sami spends $15 on popcorn and $10 on drinks. He spends a total of $25.