3rd Grade Assessment – Concepts of Multiplication and Division Part 2
Answer Key
4.0
Uses equations with symbols for an unknown number to represent the problem.
Accurately solves the problem. Demonstrates in-depth inferences and applications that
go beyond what is taught
3.5
In addition to 3.0, partial success at score of 4.0
3.0
Uses multiplication and division strategies to solve problems. Determines unknown factor
or unknown number in a multiplication or division problem. Multiplies one digit numbers
by multiples of 10.
2.5
Solves the problem accurately but may not represent the problem completely (with all
necessary equations/diagrams)
2.0
Solves basic multiplication and division equations; has difficulty demonstrating the
relationship between multiplication and division
1.5
Partial success at score of 2.0 with major errors or omissions
1.0
Makes an attempt to solve problems but has misconceptions
3.OA.B.5 Apply properties of operations as strategies to multiply and divide.
1) Draw a diagram or an array that shows the following equation is true
3X6 = 6X3
xxxxxx
xxxxxx
xxxxxx
x x x
x x x
x x x
x x x
x x x
x x x
=
2) Show how you can split the array below to use facts you know to make solving
7 X 8 easier. Label each part. Answers may vary
********
********
********
********
********
********
********
8 X 5 = 40
50 + 16 = 56
8 X 2 = 16
7 X 8 = 56
3) Solve the multiplication string below.
3 x 4 = 12
3 x 8 = 24
6 x 8 = 48
Look at 3 x 8. How you could use it to solve 6 x 8?
6 is double 3 so 6 X 8 is twice as much as 3 X 8
3.OA.B.6. Understand division as an unknown-factor problem.
3) Solve the division facts below. Complete the fact family.
20  5 = 4
20  4 = 5
4 X 5 = 20
5 X 4 = 20
12  6 = 2
12  2 = 6
2X6=2
6X2=2
82=4
84=2
4X2=8
2X4=8
4) What multiplication problem would help you solve the equations below? Write
the multiplication equation, then complete the division equation.
18  3 = 6
6 X 3 = 18
24  8 = 3
3 X 8 = 24
16  16 = 1
1 X 16 = 16
14  2 = 7
7 X 2 = 14
3.NBT.A.3 Multiply one digit whole numbers by multiples of ten
Multiply the numbers. Show how you know. Showing will vary
5) 5 x 30 = 150
6) 60 x 2 = 120
10
10
10
10
10
10
10
10
10
10
10
10
10
10
60 + 60 = 120
10
7) 9 x 10 = 90
8) 8 x 50 = 400
10, 20, 30, 40, 50, 60, 70, 80, 90
8
10
10
10
10
10
3.MP.4. Model with mathematics
10) There are three pans of brownies with eight brownies in each pan. How many
brownies are there in all three pans? Choose the equation that would solve the
problem, and then solve it. Show how you know.
o A
3 + 8 = _____
o B
3 X 8 = 24
o C
8 3 = _____
Answer: 24 brownies