Interpret and compute quotients of fractions, and solve word problems involving division of fractions, e.g., by using visual fraction models and equations to represent the problem.

Examples:

Create a story context for (2/3) divided by (3/4), and use a visual fraction model to show the quotient

Use the relationship between multiplication and division to explain that (2/3) divided by (3/4) = (8/9) because (3/4) of (8/9) is (2/3). (In general, (a/b) divided by (c/d) = (ad/bc)

How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally?

How many 3/4-cup servings are in 2/3 cup of yogurt?

How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?

Progression document for 3-5 Number and Operations - Fractions. Contains helpful fraction strategies. Lessons for fraction division

Divide and Conquer
Given problems involving whole numbers, students analyze responses to two different types of division problems and discuss how the inclusion of the language of sharing and grouping will help them recognize situations that require division. Students then solve a sequence of problems organized to provide scaffolding for understanding of an algorithm for division of fractions. Emphasis will be placed on using pictures or diagrams and written descriptions of the thought processes involved to support solutions and the development of an algorithm.

In this lesson students represent division of fractions using manipulatives, such as freezer pops, candy bars, and models such as drawings squares. Students develop an algorithm from these examples and solve problems using fractions.

6.NS.1 - Divide and Conquer - http://www.utdanacenter.org/mathtoolkit/instruction/lessons/7_divide.php - lesson designed to teach fraction division through a sequence of problems (sharing and grouping). It is organized to build on what students know about division of whole numbers to build an understanding of division of fractions.

## 6.NS.A.1

## Interpret and compute quotients of fractions, and solve word problems involving division of fractions, e.g., by using visual fraction models and equations to represent the problem.

Examples:

Math CLIPS

CCSS Math Resources for 6.NS.A.1

NSDL Resources for 6.NS.A.1

Illustrative Mathematics

Progression document for 3-5 Number and Operations - Fractions. Contains helpful fraction strategies.

Lessons for fraction division

- Divide and Conquer
- Models for Dividing Fractions

In this lesson students represent division of fractions using manipulatives, such as freezer pops, candy bars, and modelsGiven problems involving whole numbers, students analyze responses to two different types of division problems and discuss how the inclusion of the language of sharing and grouping will help them recognize situations that require division. Students then solve a sequence of problems organized to provide scaffolding for understanding of an algorithm for division of fractions. Emphasis will be placed on using pictures or diagrams and written descriptions of the thought processes involved to support solutions and the development of an algorithm.

such as drawings squares. Students develop an algorithm from these examples and solve problems using fractions.

Suggested by Harding Math Specialist6.NS.1 - Divide and Conquer- http://www.utdanacenter.org/mathtoolkit/instruction/lessons/7_divide.php - lesson designed to teach fraction division through a sequence of problems (sharing and grouping). It is organized to build on what students know about division of whole numbers to build an understanding of division of fractions.6.NS.1 - Models for Dividing Fractions- http://ims.ode.state.oh.us/ODE/IMS/Lessons/Content/CMA_LP_S01_BH_L06_I08_01.pdf - a lesson designed to help with understanding of division of fractions.