Arrays
Area
x and /
x and /
Properties of Multiplication
100
How many rows are in the array?
How many :) are in each row?
:) :) :) :) :)
:) :) :) :) :)
:) :) :) :) :)
There are 3 rows and 5 smiles in each row.
100
Area shows us how much space something takes up, for example, our classroom floor.
How do we label the area of our classroom floor if the unit of measurement is in feet?
We measure it in square units. We would label the area in feet squared, or square feet.
100
2 x 6 = h
What is the value of h?
h = 12
2 x 6 = 12
100
10 * 12 = s
What is the value of s?
s = 120
10 * 12 = 120
100
Zero Property of Multiplication:
4 x 0 = _______
a. impossible
b. 4
c. 0
c. 0
The Zero Property states that any number times 0 will always = 0
200
Write a multiplication for the array:
3 x 4 = 12
4 x 3 = 12
200
Solve for the area of the rectangle on the board:
4 x 4 = 16 inches squared
4 x 4 = 16 square inches
200
63 / 9 = r
What is the value of r?
r = 7
63 / 9 = 7
200
36 / 4 = t
What is the value of t?
t = 9
36 / 4 = 9
200
The Identity Property of Multiplication
8 x ____ = 8
a. 1
b. impossible
c. 0
d. 8
The Identity Property of Multiplication states that any number times 1 will remain that same number.
8 x 1 = 8; The number 8 stays the same, it keeps its identity!
300
Martin plants 5 rows of apple trees. He plants
12 trees in each row. How many apple trees does
Martin plant?
Write an equation and solve.
5 x 12 = 60
Martin plants 60 apple trees
300
Kylie wants to find the area of the large rectangle by adding the areas of the two small rectangles.
Which expressions can be used to solve for the area?
a. (6 x 4) + ( 3 x 4)
b. 24 + 12
c. (6 x 4) + (9 x 4)
d. (4 x 6) + (4 x 3)
Expressions a, b, and d can all be used to solve for the area of this rectangle.
300
Multiplication combines equal groups. Which of the following situations can be represented by using the multiplication expression 4 x 3?
A) total number of marbles when 4 marbles are in each of 3 bags.
B) 3 marbles divided evenly into 4 bags
C) total number of marbles in 4 rows of 3 marbles each
D) 4 marbles more than in a bag with 3 marbles.
A) total number of marbles when 4 marbles are in each of 3 bags.
**** **** ****
C) total number of marbles in 4 rows of 3 marbles each
***
***
***
***
300
Fergus puts 3 coins in each of 6 different bags. How many coins does he put in the bags?
Create a drawing, write an equation, and solve.
Fergus put 18 coins in the bags.
3 x 6 = 18
*** *** *** *** *** ***
300
3 x 5 = _____ x 3
Name the property and solve.
3 x 5 = 5 x 3
Commutative Property
400
Create a model or a drawing and solve:
Sunny plants 28 tomato plants in 4 equal rows. How many tomato plants are in each row?
* * * * * * *
* * * * * * *
* * * * * * *
* * * * * * *
There are 7 plants in each row.
400
j / 2 = 9
What is the value of j?
j = 18
18 / 2 = 9 ; 9 x 2 = 18
400
35 / n = 7
What is the value of n?
n = 5
35 / 5 = 7 ; 7 x 5 = 35
400
(2 x 6) x 5 = 2 x (___ x 5)
Name the property and enter the missing number
(2 x 6) x 5 = 2 x (6 x 5)
5 Bonus Points to the Team that solves! Ready? Set? Go!
500
Olivia’s spice rack has 3 shelves. It holds 8 spice jars on a shelf. How many spice jars will fit in the rack?
Create a drawing, write an equation, and solve.
* * * * * * * *
* * * * * * * *
* * * * * * * *
3 x 8 = 24; 24 spice jars will fit in the rack.
500
Jesse uses 24 ounces of turkey to make 6 sandwiches. She puts the same amount of turkey in each sandwich.
How many ounces of turkey are in each sandwich?
Write an equation and solve.
24 / 6 = 4
There are 4 ounces of turkey in each sandwich.
check your work with multiplication! 6 x 4 = 24
500
48 / 8 = k
What is the value of k?
k = 6
48 / 8 = 6 ; 6 x 8 = 48
500
Distributive Property of Multiplication
9 x 3 = (5 + 4) x ______
9 x 3 = (5 + 4) x 3
9 is broken down into 5 and 4, 5 + 4 = 9. We still multiply by 3.