1. Conceptual Fraction Division
July 19, 2017

2. Use conceptual models to divide fractions
Objectives and agenda
Use conceptual models to divide fractions
Warm Up
Equal or Fair Sharing
Visualizing Situations for Fraction Division
Exit Slip

3. What story might you invent that can be modeled by this expression?
Warm UP
What story might you invent that can be modeled by this expression?

4. Simplify it and use a model to show your solution.
Part 2
What story, modeled by this expression, would you invent to give meaning to division?
22 ÷ 4
Simplify it and use a model to show your solution.
Handout Unifix Cubes and Chips
Examples: Fair Share (Partitive) Number of groups is known
Grouping interpretation (quotative, measurement, repeated subtraction) The number of elements in each group is known but the number of groups is unknown.

5. Fair sharing model of division - partitive division
Division Stories
Fair sharing model of division - partitive division
The number of “groups” is known, but the share received is unknown.
Grouping model of division – quotative, measurement, or repeated subtraction
The number in each group is known or the ”share), but the number of groups is unknown.
Fair share – Sharing marbles among 4 people
Grouping Model – I have 22 apples and wish to bag them, 4 apples per bag, how many bags do I need?

6. What story might you invent that can be modeled by this expression?
Try again
What story might you invent that can be modeled by this expression?
Simplify it and use a model to show your solution.

7. Picture Number line Pattern blocks Models
How many half-gallon bottles can be made from 3 gallons of water?
How many half-hour episodes can I watch in a 3-hour span?
How many half-pizza portions can be made out of 3 whole pizzas?

8. Write a situation to model the expression.
Now let’s try
Write a situation to model the expression.
Simplify it using a model.

9. Number line Clock Rectangle or bar Models
You have a half hour before bedtime to finish three math exercises. If you split the time equally, how much time will you spend on each exercise?