Arrays
What is the equation for the following array?
OOOO
OOOO
OOOO
3 X 4 =12
or
12 ÷ 3 = 4
4 x 4= ___
16
Luis arranges all the praise notes in his desk into 6 equal groups of 4. How many praise notes are in his desk? Show a picture and multiplication sentence in your work.
6 x 4 = 24
There are 24 praise notes.
Mrs. Cheng arranges all the math books into 6 equal groups of 4. How many math books does Mrs. Cheng have? Show a picture and multiplication sentence in your work.
6 X 4 = 24
She has 24 books.
Mrs. Cheng'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
2 x 5 = 10
or
10 ÷ 2 = 5
10 ÷ 5 = 2
6 X 2 = ___?
Write the fact family.
6 x 2 = 12
2 x 6 = 12
12 divided by 6 = 2
12 divided by 2 = 6
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
What is the product and what does it represent?
6 bowls X 4 fish in each bowl = ________?
The product is 24.
It represents the total number of fish in the bowls.
Angel, Aaron, Angelina, Amaryss, Alaunis, Adriel, and Alejandro use the equation 4 X ____ = 40 to find how many questions they answered correctly. Is their method correct? Why or why not?
Yes, their method is correct. You can solve using multiplication or division to solve for the unknown.
The blank shows they looked for a missing factor. 4 x 10 = 40, so they got 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 = ____
Write the fact family.
3 x 8 = 24
24 divided by 8 = 3
24 divided by 3 = 8
Khai and Benjamin play soccer. They earn 5 points each time they score a goal. They earn 50 points playing the game.
How many times did they score a goal? Show a picture and division sentence in your work.
50 divided 5 equals 10.
They scored 10 goals.
What is the quotient and what does it represent?
44 marshmallows divided by 4 children = _________?
The quotient is 11, and it represents how many marshmallows each child received.
Dazelyn answered 10 questions correctly on Monday, and she answered 5 questions correctly onTuesday. Each correct answer is worth 4 points. What is the total number of points she earned on both days?
Monday: 4 x 10 = 40 Tuesday: 4 x 5 = 20
Monday + Tuesday = 40 + 20
= 60
She earned 60 points on both days.
Draw an array that shows 2 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 2 X 8 = 16
O O O O O O O O
18 ÷ 2 = ______
Solve using a number bond.
18
/ \
2 X 9
or
18
/ \
9 + 9
The store clerk arranges 24 toothbrushes into 4 equal rows. How many toothbrushes are in each row?
Draw a model and show a division sentence.
6 toothbrushes.
24 divided by 4 = 6
What is the total number of sides on 9 triangles?
Use a number bond and write a multiplication sentence.
The total number of sides is 27.
9 triangles X 3 sides each = 27 sides
Jesus 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 Jesus use to make the 7 sandwiches? Draw a model 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
Jesus 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 = ________
Solve using a tape diagram.
7
Kehlani has 7 stacks of notebooks with 4 in each stack in her desk. Roberto borrows four notebooks to finish taking notes. How many notebooks are left?
G: 7 stacks
E: 4 notebooks in each
T: 7 x 4 = 28
28 notebooks - 4 notebooks = 24 notebooks
24 notebooks are left over.
Miguel starts arranging his 24 markers in his pencil case. He organizes his reds, yellows, greens, and blues. He has an equal number of each color. He puts away his reds and blues, but doesn't get to finish. How many markers does he still need to put away? Draw and label a tape digram.
24 markers divided by 4 groups = 8 markers in each group
He needs to put away the yellow and green groups. Each group has 8 markers, so 8 + 8 = 16. He still needs to put away 16 markers.
Remy likes cupcakes! For his birthday party, he 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/decompose and distribute strategy to find the total number of cupcakes Remy has for his birthday party.
______ x 6= (_____ x 6) + (_____ x 6)
Remy has ________ cupcakes.