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?
Ms. Lemus buys a tray of grapes for a party. There are 5 rows of 3 green grape bunches. There is 1 row of 3 red grape bunches.
O O O
O O O green grapes: ____ X 3
Total apples: O O O
____ X 3 O O O
O O O
O O O red grapes: ____ X 3
O O O
O O O green grapes: __5__ X 3
Total apples: O O O
__6__ X 3 O O O
O O O
O O O red grapes: __1__ X 3
Ms. Ramirez arranges all the math books into 6 equal groups of 4. How many math books does Ms. Ramirez have? Show a picture and multiplication sentence in your work.
6 X 4 = 24
She has 24 books.
Mrs. Brandt'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?
3x7 = ____
What is 21?
Solve this problem:
(5x3) + (2x3)= ?
(5x3) + (2x3)= ?
15+6= 21
Ms. Ramirez arranges all the math books into 6 equal groups of 4. How many math books does Ms. Ramirez have? Show a picture and multiplication sentence in your work.
What does the product in the following multiplication sentence represent?
6x4=24
The product is 24.
It represents the total number of math books.
Mrs. Brandt 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. Then, add two more rows. Write a multiplication sentence to represent each part of the array and add them together in an equation below your array.
O O 8 X 2 = 16
O O
O O
O O
O O
O O
O O
O O
x x 2x2=4
x x
(8x2)+(2x2)=
16+4=20
8 x 3
What is 24?
Allie has 3 bags of 4 kiwis. She gets 4 more bags of 4 kiwis. How many kiwis does she have in all?
___ X 4 = (___ X 4) + ( ___ X 4)
7x4= 12+16
7x4= 28
Anna buys 24 seeds and plants 3 in each pot. She has 5 pots. How many more pots does Anna need to plant all of her seeds?
24 divided by 3 is 8, so we need 8 pots. Anna already has 5 pots, so she needs 3 more to make 8 pots.
The class answered 5 questions correctly Tuesday. They earn 4 points each question. On Monday, they earned 40 points. 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 a 8x3 array. Write a fact family about the array.
8x3=24
3x8=24
24÷3=8
24÷8=3
18 ÷ 3 = ______
What is 6?
Use the distributive property to find the answer for the following equation.
9 x 4 = _______
9 X 4 = (___ X ___) + (___X ___)
X X X X
X X X X
X X X X 5 X 4 = 20
X X X X
9 X 4 = ____ X X X X
X X X X
X X X X 4 X 4 = 16
X X X X
X X X X
9 X 4 = (5 X 4) + (4 X 4)
9 X 4 = 20 + 16
9 X 4 = 36
Tina eats 8 crackers for a snack each day at school. On Friday, she drops 3 and only eats 5. Write and solve an equation to show the total number of crackers Tina eats during the week.
8x4=32 crackers for Monday-Thursday.
Friday she eats 5, so 32+5=37.
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 arrays and sentences.
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!
Break the 28 up up to solve
28 ÷ 4 = _________
( __ ÷4)+( __ ÷4)=?
( 20 ÷4)+( 8 ÷4)=?
5+2=7
Use the distributive property to find the answer for the following equation.
7 x 5 = _______
7 X 5 = (___ X ___) + (___X ___)
X X X X X
X X X X X
X X X X X 5 X 5 = 25
X X X X X
7 X 5 = ____ X X X X X
X X X X X
X X X X X 2 X 5 = 10
7 X 5 = (5 X 5) + (2 X 5)
7 X 5 = 25 + 10
7 X 5 = 35
Mr. Clark arranges all the 28 desks in his classroom into groups of 4. How many groups of desks are in his class? Show a picture and multiplication sentence in your work.
28 divided by 4 is 7. 7 groups of desks are 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.