Arrays
What is the equation for the following array?
OOOO
OOOO
OOOO
What is 3 X 4 or 12 ÷ 3 = 4?
4 x 4= _____
16
Mrs. Perczynski arranges all the desks in his classroom into 5 equal groups of 4. How many desks are in her classroom? Show a picture and multiplication sentence in your work.
5 x 4 = 20
There are 20 desks.
What is the related division sentence?
12 ÷ 4 = _____
3
Mrs. Perczynski's class plays a game. The class earns 4 points each time they answer a question correctly. The class earns 40 points playing the game on Monday.
How many questions did the class answer correctly? Show a picture and division sentence in your work.
40 ÷ 4 = 10
The class answered 10 questions correctly.
Mrs. Perczynski uses the equation 4 X ____ = 40 to find how many questions the class answered correctly. Is her method correct? Why or why not?
What is the equation for the following array?
x x x x x
x x x x x
What is 2 x 5?
6 X 2 = _____
12
Draw an array that shows 6 rows of 2. Write a multiplication sentence to represent the array, and circle the factor that represents the number of rows.
6 x 2 =12
15 ÷ 3 = _____
5
Mrs. Perczynski bakes 32 cookies and puts them in groups of 4. How many groups of cookies does Mrs. Perczynski make? Show your work to solve.
Mrs. Perczynski has 8 groups of cookies
Draw an array that shows 4 rows of 2. Write a multiplication sentence to represent the array and circle the factor that represents the number of rows.
O O 4 X 2 =8
O O
O O
O O
8 x 3 = _____
24
Ms. Harper's class plays a game. The class earns 5 points each time they answer a question correctly. The class earns 50 points playing the game on Monday.
a. How many questions did the class answer correctly? Show a picture and division sentence in your work.
50 ÷ 5 = 10.
The class answered 10 questions correctly.
18 ÷ 2 = _____
9
Ms. Harper arranges all of the markers into 8 equal groups of 5. How many markers books does Ms. Harper have? Show a picture and multiplication sentence in your work.
8 X 5 = 40
She has 40 markers.
Draw an array that shows 3 rows of 8. Write a multiplication sentence and circle the factor that represents the size of the row.
O O O O O O O O
O O O O O O O O
O O O O O O O O
3 X 8 = 24
2 x 7 = _____
14
Mrs. Perczynski arranges 24 popsicles into 4 equal rows. How many popsicles are in each row?
There are 6 popsicles in each row
27 ÷ 3 = _____
9
Ms. Harper decides to make her favorite lunch, grilled cheese! Her recipe calls for 2 slices of cheese per one sandwich. She makes 7 sandwiches for her family on Friday.
How many cheese slices does Ms. Harper use to make the 7 sandwiches? Show your work.
7 x 2 = 14
Ms. Harper uses 14 slices of cheese to make the 7 sandwiches.
Explain the relationship between the following two arrays using number sentences and words.
8X2=16 and 2X8=16
The arrays have the same totals, (18) and they have the same factors (2 and 9). The factors switch places. In 9X2=18, the 9 is the number of rows, but in 2X9=18 the 9 is the size of the row. It's the commutative property!
10 x 4 = _____
40
Ms. Harper bakes 36 brownies and wants to share them with 4 of her friends. How many brownies does each friend get? Show a picture and multiplication sentence in your work.
36 ÷ 4 = 9
Each friend gets 9 brownies.
48 ÷ 12 = _____
4
Ms. Harper and Mrs. Perczynski like cupcakes! They decide to get 12 chocolate cupcakes (shown in o’s) and 12 vanilla cupcakes (shown with x’s). Shown below.
o o o o o o
o o o o o o
x x x x x x
x x x x x x
Use the break apart and distribute strategy to find the total number of cupcakes that they have.
______ x 6= (_____ x 6) + (_____ x 6)
______ x 6= (_____ x 6) + (_____ x 6)
Ms. Harper and Mrs. Perczynski have ________ cupcakes.