Area Models
Solve using an area model
12 x 13
12 x 13 = 156
Find partial products to solve
15 x 14
10 x 10 = ___
10 x 4 = ___
5 x 10 = ___
5 x 4 = ___
Find partial products to solve
15 x 14 = 100 + 40 + 50 + 20= 210
10 x 10 = 100
10 x 4 = 40
5 x 10 = 50
5 x 4 = 20
18 x 13
18 x 13 = 234
There are 12 rows of chairs with 12 chairs in each row. How many chairs are there in all?
12 x 12 = 144
Solve using the area model method and verbally describe steps taken
12 x 15 = ___
If student can effectively explain steps to solve, they will earn points
12 X 15 = 180
Solve using an area model
24 x 10
24 x 10 = 240
Find partial products to solve
26 x 21
20 x 20 = ___
20 x 1 = ___
6 x 20 = ___
6 x 1 = ___
Find partial products to solve
26 x 21 = 400 + 20 + 120 + 6= 546
20 x 20 = 400
20 x 1 = 20
6 x 20 = 120
6 x 1 = 6
35 x 22
35 x 22 = 770
A teacher buys 24 boxes of crayons and each box holds 48 crayons. How many crayons were ordered in all?
24 x 48 = 1,152
Describe steps taken to solve 19 x 20 using standard algorithm.
If student can effectively explain steps to solve, they will earn points
19 x 20 = 380
Solve using an area model
31 x 31
31 x 31 = 961
Find partial products to solve
45 x 23
40 × 20 = ____
40 × 3 = ____
5 × 20 = ____
5 × 3 = ____
Find partial products to solve
45 x 23 = 800 + 120 + 100 + 15= 1,035
40 × 20 =800
40 × 3 = 120
5 × 20 =100
5 × 3 = 15
49 x 38
49 x 38 = 1,862
***DOUBLE JEOPARDY***
You will get double points if you found the correct answer
An artist paints 35 buttons for each container, and there are 30 containers total. How many buttons did she pain altogether?
35 x 30 = 1,050
Which multiplication strategy would you choose to solve 62 × 18 and why?
(Student can choose any strategy and if they effectively explain steps to solve, they will earn points)
Solve using an area model
55 x 72
55 x 72 = 3,960
Find partial products to solve
58 x 35
50 x 30 = ___
50 x 5 = ___
8 x 30 = ___
8 x 5 = ___
Find partial products to solve
58 x 35 = 1,500 + 250 + 240 + 40= 2,030
50 x 30 = 1,500
50 x 5 = 250
8 x 30 = 240
8 x 5 = 40
64 x 50
64 x 50 = 3,200
A farmer plants 42 rows of corn with 52 plants in each row. How many corn plants are there in total?
42 x 52 = 2,184
The student used the partial product strategy to solve 46 x 18 = 794. His teacher told him he had the wrong answer, but he cannot figure out which step to correct.
40x10= 400
40x8= 320
6x10= 60
6x8= 48
Total= 828
The student added 6 + 8 instead of multiplying 6 x 8
Solve using an area model
80 x 80
80 x 80 = 6,400
Solve using the partially completed area model
83 x 99
80 x 90 = ____
80 x 9 = ____
3 x 90 = ____
3 x 9 = ____
83 x 99 = 7,200 + 720 + 270 + 27= 8,217
80 x 90 = 7,200
80 x 9 = 720
3 x 90 = 270
3 x 9 = 27
71 x 84
71x 84 = 5,964
A toy factory ships 69 boxes and each box contains 88 bouncy balls. How many balls are there altogether?
69 x 88 = 6,072
The school library has 125 shelves. Each shelf holds 36 books. If 289 books are checked out, how many books remain on the shelves?
Students will need to multiply 125 x 36 first and then subtract 289 from that total to get their final answer. They can use any multiplication strategy to solve.
125 × 36 = 4,500 books
4,500 − 289 = 4,211 books total