Multiply
fraction x whole number or
whole number x fraction
Multiply
fraction x fraction
Multiply with mixed numbers
LAST CATEGORY (after others are finished)
Area of Rectangles with at least one
side length that has a fraction
100

Write an equation to show the multiplication problem this model represents. 

3 xx 2/3 = 6/3 or 2

100

Write the equation that is represented by this model.

 2/3 xx 3/4 = 6/12 or 1/2 

100

What is a reasonable estimate for  5 1/3 xx 3

Will the actual product be a little bit MORE or a little bit LESS than your estimate?

15 is a good estimate beause 5 x 3 = 15

The actual product will be a little bit more than 15, because  5 1/3 is a little bit more than the 5 used in the estimate.

100

Write an expression to represent how to find the area of this rectangle.

1/3 xx 1/4

200

Evaluate the expression 7 × 1/4

Use a number line or model to represent your thinking.

Write your answer as a mixed number.

7 xx 1/4 = 1 3/4

200

Draw and shade a model to represent this problem:

 1/2 xx 1/3

 1/2 xx 1/3 = 1/6 

200

Draw a large square on your whiteboard, then partition it as shown below. 

Label the sides to show  1 2/3 xx 1 2/3  , then write the multiplication expression for each part. DO NOT SOLVE.

200

If the length of a rectangle is 8 units and the width is  1/2 , what is the area?

Show your thinking using a model. 

Write an equation to represent the problem.

8 xx 1/2 = 4  square units.

300

The product of whole number x a unit fraction is  3/4  

Write the equation that matches the clues above.

Reminder: the numerator of any unit fraction is 1

 3 xx 1/4 = 3/4 

300

Draw and shade a model to represent this problem:

 2/3 xx 3/4


2/3 xx 3/4 =6/12 or 1/2

300

Multiply  1 2/3 xx 1/2 

Model your thinking.

1 2/3 xx 1/2 = 4/6 or 2/3

300

Sarah's vegetable garden that is 3 meters long and 3/4 meters wide. What is the area of her garden?

Show your thinking using a model. 

Write an equation to represent the problem.

 3 xx 3/4 = 9/4 or 2 1/4  square meters

400

Multiply 2/3 xx 5 

Use a number line or model to represent your thinking.

 5 xx 2/3 = 10/3 or 3 1/3 

400

The product of two of the fractions listed below is  3/8 . Which 2 fractions can be multiplied together to get that answer?


 1/2     1/3    2/3    1/4   3/4

1/2 xx 3/4 = 3/8

400

Estimate, then use an area model to multiply  3 1/2 xx 2 2/3

A reasonable estimate should be between 9 and 12. (3 x 3 = 9 and 4 x 3 = 12)

 3 1/2 xx 2 2/3 = 9 2/6 or 9 1/3 

400

If the area of a rectangle is 3/4 square units and the length is 2 units, what is the width?

The width is 3/8 units.

500

Represent the multiplication of  3/4 xx 8 using a number line or shaded area model.

 3/4 xx 8 = 24/4 or 6 

500

The product of two of the fractions listed below is  1/6.  Which 2 fractions can be multiplied together to get that answer?

 1/3     2/3      1/4     3/4 

This one is tricky! Did you think about equivalent fractions?




500

Estimate, then use an area model to multiply 2 3/4 xx 4 2/3

A reasonable estimate should be around or a bit smaller than 15. (3 x 5 = 15, and both of the factors were rounded up, so the product would be less than 15)

2 3/4 xx 4 2/3 = 12 10/12 or 12 5/6

500

Find the area of this rectangle. Use an area model with partial products to represent your thinking.

4 2/3 xx 1/3 = 14/9 or 1 5/9

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