Illustrative Mathematics
How Many _______ Are In. . . ?
Help your learners gain meaningful understanding of dividing fractions using fraction models. The activity includes nine problems which are sequenced to show how the fraction division algorithm evolves. Have students use graph paper or...
West Contra Costa Unified School District
Modeling Division of Fractions
Introduce young mathematicians to the process of dividing fractions with a hands-on math lesson. Using the help of fraction strips and other visual models, children work through a series of example problems as they deepen their...
Illustrative Mathematics
Video Game Credits
Help your learners understand how to divide fractions with this visual activity. They first answer a simple inequality before dividing the fractions. Two solution choices are given to help your mathematicians understand how to solve "how...
Curated OER
Operations with Positive Fractions and Decimals
Explore the concept of fractions and decimals! In this fractions and decimals lesson, pupils use fraction tiles to express fractions. They play a fraction review basketball game where when a team gets a question correct they get to shoot...
Ohio Department of Education
Models for Dividing Fractions - Grade Six
Fifth and sixth graders use food and candy to help them represent division of fractions and develop algorithms to solve fraction problems. They discuss dividing whole numbers by fractions. Pupils use sticks and chocolate bars to study...
Curated OER
Multiplying and Dividing Fractions and Mixed Numbers
Help math learners discover how to multiply fractions and mixed numbers. They will explore visual examples of the operations. They also practice solving problems that their instructor models.
EngageNY
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions
Knowing the standard algorithm opens up a whole new world of division. Scholars learn how to convert division involving decimals to division involving whole numbers to use the standard algorithm. Knowing how to multiply with powers of...
Curated OER
Adding and Subtracting Fractions and Mixed Numbers
Elementary schoolers participate with their teacher's instruction to learn to add and subtract fractions and mixed numbers. They use fraction strips to complete addition and subtraction problems. A step-by-step script is provided to help...
Illustrative Mathematics
How Many Containers in One Cup / Cups in One Container?
The object is to model fraction division by asking “How many are in one group?” It is a difficult concept to understand, but developing the model that shows one cup to a certain amount of container or one container to a certain amount of...
Curated OER
Problem Solvers
Fifth and sixth graders compare decimals to the place-value structure in the base-ten number system. They represent fractions as parts of unit wholes, as parts of a set, as locations on a number line, and as divisions of whole numbers....
EngageNY
The Long Division Algorithm
Two methods are always better than one! The eighth installment in this series asks pupils to convert decimals to fractions using two approaches. Individuals first use the more traditional approach of long division and then use reverse...
Illustrative Mathematics
Traffic Jam
Help your learners understand dividing with fractions by using these methods to solve. Chose from two different number lines or linker cubes. This practices "how many groups?" style division problems which help them comprehend why they...
EngageNY
Decimal Expansions of Fractions, Part 2
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
Illustrative Mathematics
How Many Servings of Oatmeal?
Here is another way to illustrate division of a whole number by a unit fraction. In this case, the problem is asking if there are so many servings per cup, how many servings are in a package of multiple cups. Learners are to model their...
Ohio Department of Education
Actions with Fractions: Adding and Subtracting Fractions with Common Denominators
Fourth graders develop a conceptual understanding of fractions and begin to add and subtract fractions with like denominators. Included is a worksheet to assess readiness and a teacher's checklist showing class understanding at a...
Gecko Mathematics
Gecko Mathematics: Multiplying Unit Fractions
Make learning visible! Have your mathematicians follow along as you use paper strips to demonstrate the concept of multiplying unit fractions. Then, offer a different way of solving the problem using a number line. Finally, introduce the...
Curated OER
Rational Number Project
Infuse your unit on fractions, decimals, and operations with a thorough module about rational numbers. With a teaching guide, learner examples, templates for instruction, and lesson rationale, the module is a solid way to emphasize the...
Curated OER
Models and Algorithms to Solve Multiplication Problems
Students choose the correct strategy to solve multiplication and division. In this algorithm lesson, students use at least two strategies that use properties of operations and estimation. Students also recognize the relationship between...
Curated OER
Models for Dividing Fractions
Sixth graders represent division of fractions using manipulatives, such as freezer pops, candy bars, and models such as drawings squares. They develop an algorithm from these examples and solve problems using fractions.
Curated OER
Multiplying and Dividing Fractions with Post It Notes
Seventh graders experiment with measurement as it relates to the algorithm for dividing fractions. In this fractions instructional activity, 7th graders work in groups to establish how many post-it notes it takes to fill an 8 X 11 piece...
Curated OER
Partial Quotient
Students study what occurs in the division process, rather than just following prescribed steps. They expand number sense to include integers and perform operations with whole numbers, simple fractions, and decimals. They write a word...
Pennsylvania Department of Education
Two Types of Division Problems
Students discover the two types of division problems. In this number division lesson, students identify repeated subtraction and sharing division problems. Students create word problems utilizing the two different types of division.
Curated OER
Understanding Fractions
Students add and subtract fractions and multiply and divide fractions using pattern blocks.