Patterns in Multiplication
Distributive Property
Word Problems Multiplication
Review
What operation does the sentence represent?
100
Explain the pattern that can be used to find the products of a number multiplied by zero.
Any number multiplied by zero will equal zero.
100
Mrs. Bond drew an array that was 6 x 6 on the board. One of her students partitioned the array into 2 smaller arrays, so she could find the product in her head. What could the two arrays be?
6x5 and 6x1
6x4 and 6x2
6x3 and 6x3
100
Emery was arranging her books on her shelf while cleaning up.
The shelf had 8 rows.
She put 6 books in each row.
How many books did Emery put on the shelf?
48
100
How many more days of snow does February have than January?
8
100
Samuel says that the value of R is 1 in the following equation:
0 = R x 8
Is Samuel right?
If he isn’t right, what could make it right?
No Samuel is not correct, the property of zero would apply in this equation meaning R should be zero.
200
Explain the pattern that can be used to find the product of multiplying by one.
Any factor times one will equal that factor.
200
What is the product of 6x6, using the distributive property?
36
200
Teresa needed to buy lemons to make lemonade. She bought 7 bags of lemons with 6 lemons in each bag. Write an expression that can be used to find the total number of lemons Teresa has.
7x6=42
42 Lemons
200
Gabbie and her brother both read for a long time on Sunday.
Gabbie read for 419 minutes.
Gabbie read for 238 minutes fewer than her brother.
How many minutes did Gabbie’s brother read?
657
200
Liana has 8 candy bars. She wants to share them equally between herself and five friends. How much of a candy bar should each friend get?
division
300
Explain the pattern that can be used to find the product of a number being multiplied by two.
Any number multiplied by two will be an even number
The product is always double the factor being multiplied by two.
300
Write a multiplication equation that shows why the two arrays have the same number of squares.
7x5 and 5x7 are the same multiplication problems the numbers are just switched. Commutative Property of Multiplication
300
Mr. Locklear is setting up tables and chairs for a party.
There are 8 tables.
Each table has 9 chairs.
How many chairs does Mr. Locklear have?
8x9=72
300
Lacey has 345 teddy bears, she gave 128 away when she got older. How many teddybears does she have now?
217
300
Liana had 8 stickers. She gave 6 of them to her younger sister. How many stick ers does Liana have now?
Subtraction
400
Explain the pattern that can be used to find the product of a number being multiplied by 5.
The product will end in either a 5 or a 0, alternating as the factor multiplied by 5 increases
400
Shannon couldn’t remember the product of 6 x 8. She decided to break the array for 6 x 8 into two multiplication combinations that she knew. Write an expression that could be used to find the product of 6 x 8.
5x8 + 1x8
4x8 + 2x8
3x8 + 3x8
6x5 + 6x3
6x4 + 6x4
6x2 + 6x6
Answers will vary
400
Stitch bought 7 bags of dog treats. Each bag had 9 treats. How many treats did Stitch buy?
7x9=63
400
Nate has 685 collection cards, Hannah has 569. How many more cards does Nate have than Hannah
116
400
Liana had $8. She earned $6 for washing her neighbor’s car. How much money does Liana have now?
Addition
500
Explain the patterns that can be used to check your answer when multiplying a factor by 9
numbers in the product added together will equal nine. 1+8=9.
Even and odd pattern.
The ones decrease and the tens increase going down the table.
Answers may vary
500
Write an equation that shows how 7 x 9 could be solved.
(think distributive property)
Answers will vary
examples:
7x5 and 7x4
5 x 9 and 2 x 9
500
On the counter, the baker had 8 boxes with 5 cupcakes in each vase. How many cupcakes does the baker have on the counter?
8x5=40
500
Christina has a collection of action figures.
She made 4 full rows of her action figures.
Each row had 8 action figures.
She made a fifth row that only had 5 people.
How many action figures does Christina have?
37 action figures
500
Liana drew 8 hexagons on her paper. How many total sides do Liana’s hexagons have?
multiplication