Division Models
Numerical Expressions
Fraction Operations
Patterns and Graphing
Volume
100

What is the quotient of 456 divided by 12? (Use an area model to show your work. 

38

100

Write an expression for the sum of 8 and 5, then evaluate it.

8 + 5 = X 

X = 13 

100

Multiply 1/2 by 3/4. What is the product?

3/8

100

Generate a numerical pattern starting with ( 2 ) and increasing by ( 3 ). List the first five terms.

2, 5, 8, 11, 14

100

What is the volume of a rectangular prism with dimensions 2cm, 3cm, and 4cm?

24 cm cubed

200

Using repeated subtraction, how many times can you subtract 15 from 150? What is the remainder?

10 times. No remainder.

200

What is the result of ( (3 + 4) times 2 )? Explain why you used parentheses.

14 . The parenthesis tells you what to do first .

200
Solve 5 x 3/2. Your answer should be in the form of a mixed number.

5 x 3 = 15 

15 / 2 = 7 and 1/2 

200

What is the relationship between the following pattern?

5, 10, 15, 20

Add 5 

200

If you have a box that can hold 12 unit cubes, what could be the dimensions of the box?

3 x 4 x 1 

2 x 6 x 1 

12 x 1 x 1 

3 x 2 x 2 

300

If you have a rectangular array of 24 squares and you want to divide them into groups of 6, how many groups can you make?

4

300

If you have the expression ( 6 + 2 times 3 ), what is the value when using the order of operations?

12 . 

300

Sarah has 3/4 of a yard of ribbon. She uses 1/2 of it for a project. How much ribbon is left?

3/8

300

Create ordered pairs from the patterns ( 1, 2, 3 ) and ( 2, 4, 6 ). What are the ordered pairs?

(1,2) (2,4) (3,6)

300

Explain how to find the volume of a rectangular prisms using multiplication. Provide an example. 

You multiply the length by the width by the height.

You could also multiply base by the height.

400

Use partial quotients to find the answer to 275 divided by 25.

11

400

Using the distributive property, simplify the expression ( 5(2 + 3) )

30

400

2/3 + 1/6 

5/6 

400

Graph the ordered pairs ( (1, 2), (2, 4), (3, 6) ) on a coordinate plane. What do you notice about the line?

It is a straight line showing increase. X increases by 1 and Y increases by 2.

400

A rectangular prism has a length of 5ft, a width of 2ft, and a height of 3 ft. What is the volume?

30ft cubed. 

500

Create a division problem using a 4-digit dividend and a 2-digit divisor, then solve it using the relationship between multiplication and division.

Check their work to make sure it is done correctly. 

A divided by B = C , B times C = A

500

Write a two-step expression for the problem: You have 10 apples, and you buy 6 more. Then, you give away 4. What is the expression, and what is the result?

(10 + 6) - 4 = 12 

500

Multiply 3 and 1/2 by 2/3.

2 and 2/6 or 2 and 1/3 

500

If the rule for a pattern is to add ( 4 ) to the previous term, what is the 10th term starting from ( 1 )?

37

500

If you have two non-overlapping rectangular prisms, one with a volume of 20 cm cubed and the other 30 cm cubed, what is their total volume?

50cm cubed. 

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