Multiplication Facts and Patterns
Combinations
Associative Property
Distributive Property
Problem Solving
100
What is the product of 3 x 7 ?
3 x 7 = 21
100
DuWop has two chairs, a red one and a blue one. He invites his friend Susie Q over to his house to watch a movie. How many different seating choices do they have?
2 chairs; 2 kids; 2 x 2 = 4 different seating choices
100
Using the Associative Property of Multiplication, show two different ways that you could group the following factors: 4 x 5 x 2
(4 x 5) x 2 = 40; or 4 x (5 x 2) = 40
100
Using the Distributive Property of Multiplication, you can break arrays or facts into smaller facts. What smaller facts could you break a 4 x 5 array into?
One possibility: 4 x 5 = (2 x 5) + (2 x 5); Another possibility: 4 x 5 = (3 x 5) + (1 x 5)
100
Marti walked to her friend's house 4 times during school vacation. Her friend lives 5 miles away. Marti's mom gave her a ride home from her friend's house each time. How many miles did Marti walk during school vacation?
4 times x 5 miles = n; 4 x 5 = 20 Marti walked 20 miles
200
What is the product of 9 x 8 ?
9 x 8 = 72
200
You are at the store buying a new pair of snowpants and a new coat. The snowpants come in two different colors: black and purple. The coats come in three different colors: blue, black, and red. How many different snowpants and coat choices do you have?
2 colors of snowpants; 3 colors of coats; 2 x 3 = 6 different choices
200

Find the product: 2 x 2 x 4 =n

2 x 2 x 4 = 16

200
How could you use the Distributive Property of Multiplication to help you find the product of 4 x 7 ?
You can break a fact into a smaller fact that you know. You could use 2s facts and double them. 4 x 7 = (2 x 7) + (2 x 7); 4 x 7 = 14 + 14; so 4 x 7 = 28
200
Tasha has 6 bags with 9 gems in each bag. How many gems does Tasha have?
6 bags x 9 gems = n; 6 x 9 = 54; Tasha has 54 gems
300
What is the product of 80 x 10 ?
80 x 10 = 800
300
You are at a picnic. You can choose from three different side dishes: baked beans, potato salad, or cucumber salad. You can choose from three different desserts: cupcakes, brownies, or watermelon. Mom says you can only have one side dish and one dessert. How many possible combinations can you make?
3 side dishes; 3 desserts; 3 x 3 = 9 possible combinations
300

Find the product: 5 x 2 x 6 =n

5 x 2 x 6 = 60

300
How could you use smaller facts to help you find the product of 4 x 9?
One way: You could break 4 x 9 into 2s facts. 4 x 9 = (2 x 9) + (2 x 9); 4 x 9 = 18 + 18; so 4 x 9 = 36 Another way: You could break 4 x 9 into smaller facts. 4 x 9 = (3 x 9) + (1 x 9); 4 x 9 = 27 + 9; so 4 x 9 = 36
300
The Cougars basketball team has 8 players. The coach ordered 4 shirts for each player. How many shirts did the coach order?
8 players x 4 shirts = x; 8 x 4 = 32; The coach ordered 32 shirts
400
What is the product of 9 x 9 ?
9 x 9 = 81
400
DuWop is shopping for something to carry his things in when he travels to Hawaii. He can choose from a backpack, a soft suitcase, or a hard suitcase. Each one comes in five different colors: red, orange, yellow, green, or blue. How many different possible combinations can DuWop choose from?
3 luggage items; 5 colors; 3 x 5 = 15 possible combinations
400

Find the product: 7 x 2 x 5 =n

7 x 2 x 5 = 70

400
How could you use smaller facts to help you find the product of 7 x 8?
One way: You could break 7 x 8 into 2s and 5s facts. 7 x 8 = (2 x 8) + (5 x 8); 7 x 8 = 16 + 40; so 7 x 8 = 56 Another way: You could break 7 x 8 into 3s and 4s facts. 7 x 8 = (3 x 8) + (4 x 8); 7 x 8 = 24 + 32; so 7 x 8 = 56
400
DuWop has 6 sheets of baseball cards. Each sheet holds 9 cards. DuWop gave Susie Q 2 of his sheets of cards. How many baseball cards does DuWop have left?
6 sheets x 9 cards = 54 cards; 2 sheets x 9 cards = 18 cards; 54 - 18 = 36 cards; DuWop has 36 cards left
500
You are baking muffins with a friend. Your muffin pans hold 6 muffins. You bake 7 pans of muffins. How many muffins have you baked? Use a counting pattern that could help you count the total number of muffins. List all the numbers in the pattern.
6, 12, 18, 24, 30, 36, 42; You baked 42 muffins
500
Susie Q is arranging some flowers to decorate tables at a party. She has four different types of containers: baskets, tall vases, short vases, and round bowls. She has five different types of flowers: daffodils, tulips, poppies, lilacs, and apple blossoms. She has 2 colors of ribbon to decorate the containers: silver, and gold. Susie Q wants only one type of flower in each container. How many different flower arrangements can Susie Q make to decorate the tables?
4 types of containers; 5 types of flowers; 2 colors of ribbon; (4 x 5) x 2 = 20 x 2 = 40 possible combinations
500

Find the product: 7 x 3 x 3 =n

7 x 3 x 3 = 63

500
How could you use smaller facts to help you find the product of 9 x 12?
You could use 3s facts. 9 x 12 = (3 x 12) + (3 x 12) + (3 x 12); 9 x 12 = 36 + 36 + 36; so 9 x 12 = 108
500
DuWop had $38. He bought two action figures that cost $4 each and a board game that cost $10. How much money does DuWop have left? Write a number sentence to show your thinking.
DuWop spent: ($4 x 2) + $10; $8 + $10; DuWop spent $18 altogether. $38 - $18 = n; $38 - $18 = $20 DuWop has $20 left
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