This document outlines a 5-step process for creating word problems to represent division of fractions problems: 1) Decide on a measurement or partitive interpretation, 2) Draw a model, 3) Find the answer, 4) Choose a unit, and 5) Set up an interesting, realistic situation. It provides examples walking through each step, such as dividing 12 cookies among bags with 3 cookies each. The document also reviews measurement vs. partitive division and provides practice examples for students to set up word problems representing fraction division calculations.

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MODULE 2 Arithmetic Operations Including
Division of Fractions
Topic A: Dividing Fractions by Fractions
Lesson 5: Creating Division Stories
Aug 26­5:
45 PM
Student Outcomes
§ Students demonstrate further understanding of division of fractions when they create their own word problems.
§ Students choose a measurement division problem, draw a model, find the answer, choose a unit, and then set up they discover that they must try several situations and units before finding which are realistic with given numbers.

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Partivive Division:
(PS)
looking for the size of your group
Measurement Division:
(MN)
looking for the number of groups
6 ÷ 2
give counters one at a time
to each group until the
counters are gone, and the
groups all have the same
amount
make a set of 2 from the
6 counters, and then
continue making sets of 2
until all of the counters
are used

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When we know the original amount and the size or measure
of one part, we use measurement division to find the
number of parts.
You can tell when a question is asking for measurement
division because it asks,
“How many _____ are in _________?”
Today we will only look at measurement division, and
tomorrow we will go on to partitive division problems.
Dec 1­7:
00 PM

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Mom baked 12 cookies. She wants to put three in
a bag for her children to bring to school.
How many bags can she make??
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03 PM

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There is a system for creating a division word problems.
The method of creating division stories has five steps, to be followed in order:
Step 1: Decide on an interpretation (measurement or partitive).
Step 2: Draw a model.
Step 3: Find the answer.
Step 4: Choose a unit.
Step 5: Set up a situation. This means writing a story problem that is interesting,
realistic, short, and clear and that has all the information necessary to solve it. It
may take you several attempts before you find a story that works well with the
given dividend and divisor.
Nov 17­2:
28 PM

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12 ÷ 3
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Step 1: Decide on an interpretation.
Step 2: Draw a model.
Step 3: Find the answer.
Step 4: Choose a unit.
Step 5: Set up a situation.
Mom baked 12 cookies. She wants to put three in a
bag for her children to bring to school.
How many bags can she make??

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“How many _____ are in _________?”
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Example 1
Step 1: Decide on an interpretation. _______________________
Step 2: Draw a model.
Step 3: Find the answer.

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Step 4: Choose a unit.
Step 5: Set up a situation.
Remember: How many 1/8 are in 1/2?
Hint: Start with your quantity.

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Example 2
Step 1: Decide on an interpretation.
Step 2: Draw a diagram.
Step 3: Find the answer

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Step 4: Choose a unit.
Step 5: Set up a situation.
Remember: “How many 1/2 are in 3/4?”
Hint: Start with your quantity

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Closing
Please take out your exit ticket for Lesson 5, close your
binder, and complete the exit ticket. This will be collected.