1. Multiplying Fractions by Whole Numbers
Module 9

2. Multiplying Fractions by Whole Numbers
3 x 4 = n
What does this mean?
Task: Create a short story that would go with 3 x 4.
Task: Draw a diagram to go with 3 x 4.
What repeated addition equation works with this model?

3. Multiplying Fractions by Whole Numbers
3 x =n
Task: Can you think of a story that might make sense with this equation?
Task: Draw a diagram to show 3 x =n
What repeated addition equation works with this model?

4. Multiplying Fractions by Whole Numbers
Explain the differences between the products of
3 x and x 1 4

5. Multiplying Fractions by Whole Numbers
Distribute pattern blocks to students.
Today a hexagon will represent 1 whole.
What fractional part of each whole does a trapezoid represent?
What fractional part does a rhombus represent?
What fractional part does a triangle represent?

6. Multiplying Fractions by Whole Numbers
Task: Model 4 x 2 with blocks.
Explain your model.
Task: Model 4 x with blocks.

7. Multiplying Fractions by Whole Numbers
What is the product of 4 x ?
How many wholes would be equivalent to the blocks in your model? How could you prove that?
4 x = 2

8. Multiplying Fractions by Whole Numbers
Use pattern blocks to show 5 x
What is the product?
Is there another way to write that product?
5 x = = 1 2 3

9. Multiplying Fractions by Whole Numbers
Solve using pattern blocks.
Problem: Gabe uses cup of vinegar in his salad dressing recipe. How much vinegar would Gabe use to make 5 batches of his salad dressing?
Explain your model.

10. Multiplying Fractions by Whole Numbers
Solve using pattern blocks.
Problem: Diana collected of a bin of glass bottles to recycle. Henry collected 4 times as many bins as Diana? How many bins of bottles did Henry collect?
Explain your model.

11. Multiplying Fractions by Whole Numbers
What do you notice about the
pattern(s) when you multiply a whole number
and a fraction?
Follow that pattern and solve the following:
3 x x x 1 3