Arrays
What are the equations for the following array?
OOOO
OOOO
OOOO
3 X 4 or 4x3
12 ÷ 3 = 4?
12÷4=3
4 x 4= ___
What is 16?
bonus 300!
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.
Lunch starts at 11:55 a.m. and ends at 12:35 p.m. How many minutes long is lunch?
40 minutes
BONUS! 500
What is the equation for the following array?
x x x x x
x x x x x
2x5
Which situation can be represented by 6 × 2?
a.Mia has 6 toys in a box. She puts 2 more toys in the box.
b.Mia has 6 toys in a box. She takes 2 toys out of the box.
c. Mia has 6 toys. She puts them equally into 2 boxes.
d. Mia has 6 boxes. She puts 2 toys in each box
D
Use the distributive property to break apart
9x4. Your work must be shown!
6 X 3 = 5 X 3 + 1 X 3
6 X 3 = 15 + 3
6 X 3 = 18
Ms. Lemus bought 18 grape bunches.
Oka takes pictures each day for days. How many pictures does Oka take in all? What is the equation and answer?
5 x 4
She takes 20 pictures in all.
Which situation can be represented by 24 ÷ 4?
A. Pablo has 4 boxes of pens. Each box has 24 pens.
B. Pablo has 24 pens. He puts them into groups of 4.
C. Pablo has 24 pens. Carla gives him 4 more pens.
D. Pablo has 24 pens. He gives 4 of them to Carla.
B
Which expressions describe this array?
OOO
OOO
OOO
OOO
A. 3 + 3 + 3
B. 12 × 3
C. 3 × 4
D. 4 × 3
E. 4 + 3
F. 12 ÷ 3
C, D, AND F
8 x 3
What is 24?
Nataly brings 6 more red grape bunches for the party. Show Nataly's red grapes on the picture from the first questions. Then, fill in the unknowns in the equation below to match the new picture. Solve to find the total number of grape bunches.
___ X 3 = ___ X 3 + ___ X 3
_8_ X 3 = _5_ X 3 + _3_ X 3
8 X 3 = 15 + 9
8 X 3 = 24
There are 24 grape bunches in all.
Fill in the blanks below to complete a related division sentence. 4 x 6=?
_________ divided by ________ = _____________
24 divided by 4 = 6
Miss Wong's class plays a game.
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: 5 x 10= 50
Monday + Tuesday = 40 + 50
= 90
The class earned 90 points on both days.
Bonus 1000!!
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
O O O O O O O O
2 x 8=16
3 × _____ = 27
27 ÷ 3 = _____
9
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
Mrs. Chachere has 24 math books. She puts four books on each shelf.
Part A. How many shelves did she use?
Part B. What does the quotient represent in this problem?
24 divided by 4=6
The quotient is 6.
It represents the number of shelves.
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!
1000 Bonus
Which expressions are equal to 6 X 4? Select the correct answers. HINT DISTRIBUTIVE PROPERTY
A. (3 × 4) + (2 × 4)
B. (5 × 4) × (1 × 4)
C. (3 × 4) + (3 × 4)
D. (3 × 2) + (3 × 2)
E. 5 fours + 1 four
B C and E
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
Ivan makes 24 water balloons. He puts them into groups of 3. How many groups of water balloons does Ivan make?
PART A Complete the division equation so that the quotient is the number of groups of water balloons Ivan makes.
PART B Complete the related multiplication equation.
PART C How many groups of water balloons does Ivan make?
A. 24÷3=8
B. 3 X 8 OR 8 X 3
C. Ivan makes 8 groups of water balloons.
Bonus 1000 points
Amy finishes playing soccer at 4:45 p.m. She played for 38 minutes. What time did Amy start playing soccer?
4:07 pm