Arrays
What is the equation for the following array?
OOOO
OOOO
OOOO
What is 3 X 4 or 12 ÷ 3 = 4?
4 x 4= ___
What is 16?
Mr. Wittenborn arranges all the desks in his classroom into 6 equal groups of 4. How many desks are in his classroom? Show a picture and multiplication sentence in your work.
6 x 4 = 24
There are 24 desks.
Ms. White arranges all the math books into 6 equal groups of 4. How many math books does Ms. White have? Show a picture and multiplication sentence in your work.
6 X 4 = 24
She has 24 books.
Mr. Wittenborn'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.
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 = ____
What is 12?
Draw an array that shows 9 rows of 2. Write a multiplication sentence to represent the array, and circle the factor that represents the number of rows.
9 x 2 =18
There are 48 soccer players on the field. They form 6 equal teams. How many players are on 4 teams?
There are 32 players on 4 teams.
Ms. Turi uses the equation 4 X ____ = 40 to find how many questions the class answered correctly. Is her method correct? Why or why not?
Yes, her method is correct. I solved using division, but she is solving using multiplication.
The blank shows she is looking for a factor. 4 x 10 = 40, so she gets the same answer as 40 ÷ 4 = 10. Both show the class answered 10 questions correctly.
Draw an array that shows 8 rows of 2. Write a multiplication sentence to represent the array and circle the factor that represents the number of rows.
O O 8 X 2 = 16
O O
O O
O O
O O
O O
O O
O O
8 x 3
What is 24?
Ms. Datz'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. How many questions did the class answer correctly? Show a picture and division sentence in your work.
50 divided 5 equals 10.
10 questions
A chef uses 28 avocados to make 4 batches of guacamole. How many avocados are in 2 batches of guacamole?
There are 14 avocados in 2 batches of guacamole.
The class answered 5 questions correctly Tuesday. What is the total number of points the class earned on both days?
Monday: 4 x 10 = 40 Tuesday: 4 x 5 = 20
Monday + Tuesday = 40 + 20
= 60
The class earned 60 points on both days.
Draw another array that shows 2 rows of 8. Write a different multiplication sentence and circle the factor that represents the size of the row.
O O O O O O O O 2 X 8 = 16
O O O O O O O O
18 ÷ 2 = ______
What is 9?
3. The store clerk arranges 24 toothbrushes into 4 equal rows. How many toothbrushes are in each row?
6 rows
Mr. Wittenborn has 30 apple slices and 20 pear slices. Five students equally share all of the fruit slices. How many fruit slices does each child get?
Each child gets 10 fruit slices.
Jose decides to make his favorite lunch, grilled cheese! His recipe calls for 2 slices of cheese per one sandwich. He makes 7 sandwiches for the family on Friday.
How many cheese slices does Jose use to make the 7 sandwiches? Draw a picture and write a multiplication sentence to find the total number of cheese slices he uses for 7 grilled cheese sandwiches for Friday.
7 x 2 = 14
Jose 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!
28 ÷ 4 = _________
What is 7?
The teacher puts 32 students into groups of 4. How many groups does she make? Draw and label a
strip diagram to solve.
8 groups
Mrs. Pines arranges all the desks in her classroom into 8 groups of 4. How many desks are in her classroom? Show a picture and multiplication sentence in your work.
8 X 4 = 32
There are 32 desks in his classroom.
Avery likes cupcakes! For her birthday party, she decides 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 Avery has for her birthday party.
______ x 6= (_____ x 6) + (_____ x 6)
Avery has ________ cupcakes.