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
Ms.Kate thinks you can multiply 15x12 by doing 15x10 and 15x2 then adding them together. Do you agree or disagree and why?
Agree because 10 and 2 make 12 so those two partial products add up to be 15x12.
12x13
hint: 12x12=144
12x13=156