Arrays
Problem Solving
Area Models
Partial Products
Distributive Property
100
What multiplication sentence does this array represent? x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x
8 x 6 = 48
100
The gas tank on Cameron's truck can hold 18 gallons. She can drive on average 32 miles for each gallon. How many miles can she drive in all?
32 miles for EACH gallon x 18 gallons 32 x 18 256 +320 576 OR window area model x 30 2 10 300 20 8 240 16 300 + 240 + 20 + 16 = 576 576 miles in all
100
You need to use an area model to solve 36 x 25. How would you decompose the factors for the window?
30 + 6 20 + 5
100
List the partial products of 525 x 3. (place value of each digit)
500 x 3 = 1500 20 x 3 = 60 5 x 3 = 15
100
Use the distributive property to show how to calculate 7 x13.
7 x 13 7 x (10 + 3) (7 x 10) + (7 x 3)
200
How many rows and columns can you use to create the product of 120?
10 x 12 or 8 x 15 or 6 x 20 or 3 x 40
200
The high school has two parking lots. Each parking lot has 6 rows of parking spaces. There are 20 spaces in each row. How many parking spaces are there in all?
2 parking lots x (6 rows x 20 spaces) 6 rows x 20 spaces = 120 spaces in 1 lot 120 spaces x 2 lots = 240 total parking spaces
200
Using the area model, what is the product of 38 x 12?
X 30 8 10 (30x10) (8x10) 300 80 2 (30x2) (8x2) 60 16 Add partial products: 300+80+60+16 = 456 So, 38 x 12 = 456
200
Find the product of 327 x 7 using partial products.
300 x 7 = 2100 20 x 7 = 140 7 x 7 = 49
200
The robotics club sold cupcakes for $2 each. They sold 56 cupcakes in all. Use the distributive property to show how to solve.
2 x 56 2 x (50 + 6) (2 x 50) + (2 x 6)
300
Kamryn and her three brothers were bobbing for apples. Each of them retrieved 6 apples. What would an array look like to show the total number of apples they retrieved? (rows x columns)
6 rows of 4 columns
300
There are 24 hours in a day, 7 days in each week, and 52 weeks in a year. How many hours are there in one year? Use any of your multiplication strategies to solve.
24 x 7 = 168 168 x 52
300
The high school has two parking lots. Each parking lot has 6 rows of parking spaces. There are 20 spaces in each row. How many parking spaces are there in all?
X 40 7 10 (40x10) (7x10) 400 70 3 (40x3) (4x3) 120 21
300
Brian makes $168 each week at his part time job. He has worked for 4 weeks. How much money has Brian earned? Use the distributive property to solve.
168 x 4 100 x 4 = 400 60 x 4 = 240 8 x 4 = 32 400 + 240 + 32 = 672 Brian earns $672 in 4 weeks.
300
A warehouse packs 25 cans in each box. They shipped 9 boxes. Use the distributive property to find the total number of cans they shipped.
25 cans x 9 boxes (20 + 5) x 9 (20 x 9) + (5 x 9) (180) + (45) = 225 cans
M
e
n
u