Area Models
Which multiplication expression is represented by the following area model?

5x14
14x5
Write a multiplication equation to represent the following model:

9x12=108
Fill in the missing product in the ratio table
1 6
5 30
10 60
15 ___
1 6
5 30
10 60
15 90
Fill in the blank:
3 x 12 = (3 x 10) + ( _ x2)
3 x 12 = (3 x 10) + (3x2)
6x13
6x13=78
What multiplication expression is represented by the following area model?

17x23
23x17
Add the partial products to complete the multiplication model:
28x14=

28x14=392
Fill in the missing product in the ratio table
1 12
8 96
10 120
18 ___
1 12
8 96
10 120
18 216
Fill in the blank:
6 x 18 = ( 6 x 10) + (6 x _ )
6 x 18 = ( 6 x 10) + (6 x 8 )
32 divided by 8
(How many times does 8 go into 32?)
32/8 = 4
Complete the following area model to determine the product of 23 and 11.
23x11=

253
Complete the following partial products model and solve:
23x32=

736
Fill in the missing products in the ratio table
1 16
2 32
10 ___
12 ___
1 16
2 32
10 160
12 192
Fill in the blank:
5 x 12 = ( _ x 10) + (_ x 2)
5 x 12 = ( 5 x 10) + (5 x 2)
8 x 13
8x13 = 104
Draw an area model to show 16x3=
10 6
3 10x3=30 6x3=18
16x3=48
The following model shows 28x what number?

45
Fill in the missing products in the ratio table
1 3
__ 33
12 ___
13 ___
1 3
11 33
12 36
13 39
Fill in the blank:
12 x 20 = (10 x 20) + (_ x 20)
12 x 20 = (10 x 20) + ( 2 x 20)
45 / 9 =
(45 divided by 9= ?)
45/9 = 5
Draw an area model to show 15x13=
195

Draw a partial products model and solve to show:
27x12=
20 7
10 20x10=200 7x10=70
2 20x2=40 7x2=14
27x12 = 324
1 7
2 ___
__ 42
10 ___
16 ___
1 7
2 14
6 42
10 70
16 112
Michael thinks you can multiply 16x12 by doing 16x10 and 6x12 then adding them together. Do you agree or disagree and why?
Disagree it should be 16x10 and 16x2 because 10 and 2 make 12 so those two partial products add up to be 16x12.
12x13
hint: 12x12=144
12x13=156