Video Solutions to help Grade 6 students demonstrate further understanding of division of fractions by creating their own word
problems.

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Lessons for Grade 6

Common Core For Grade 6

• 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 a situation. Further, they discover that they must try several situations and units before finding which are realistic with given numbers.

The method of creating division stories has five steps, to be followed in order:

Step 1: Decide on an interpretation (measurement or partitive). Today we used only measurement division.

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.

Classwork

Opening Exercises

The classwork and problem sets from Lessons 1 through 4 include visual models made by the students. These will serve as the first three steps in writing division stories about the problems. These include fraction bars, number lines, and area models. Examples are shown here:

Fraction bar:

8/9 ÷ 2/9

Number Line:

Molly’s friend Xavier purchased 11/8 cups of strawberries, and he eats 3/4 cup servings. How many servings has he purchased?

Area Model:

3/5 ÷ 1/4

Example 1

In this example, students reason abstractly and quantitatively. They make sense of quantities and their relationships in problems and understand “how many” as it pertains to the divisor when finding the quotients of fractions.

1/2 ÷ 1/8

Example 1

1/2 ÷ 1/8

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.

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You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.