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Virginia Department of Education
Modeling Division of Fractions
Provide a meaningful context for learning about the division of fractions with this upper-elementary math activity. Presented with a simple, real-world problem, young mathematicians work in small groups to develop visual models...
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...
Curated OER
Modeling Multiplication and Division of Fractions
Create models to demonstrate multiplication and division of fractions. Using fraction tiles to model fractions, pupils explore fractions on a ruler and use pattern blocks to multiply and divide. They also create number lines with fractions.
EngageNY
Interpreting Division of a Fraction by a Whole Number—Visual Models
Divide fractions just like a model does. Pupils visualize the division of a fraction by a whole number by creating models. Scholars make the connection between dividing by a whole number and multiplication before practicing the skill...
EngageNY
Interpreting Division of a Whole Number by a Fraction—Visual Models
Connect division with multiplication through the use of models. Groups solve problems involving the division of a whole number by a fraction using models. The groups share their methods along with the corresponding division and...
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...
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models
Use a unit approach in developing a fraction division strategy. The teacher leads a discussion on division containing units, resulting in a connection between the units and like denominators. Pupils develop a rule in dividing fractions...
EngageNY
Ratios of Fractions and Their Unit Rates
Challenge the class to calculate unit rates using complex fractions. Pupils work through examples of finding unit rates using ratios of fractions. To complete the 11th lesson plan of 22, scholars review sample work and determine whether...
Curated OER
Division of Fractions Recipe
Use this division worksheet to have your learners convert numbers into fractions. They follow a "recipe" which gives instructions on dividing with fractions. Upon completion of the division process, pupils discover the answer to a...
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...
Illustrative Mathematics
Cup of Rice
Dividing with fractions is not a favorite task, so provide your learners with a visual understanding. The activity breaks a simple division problem into something they can comprehend. Use this method for future problems with...
EngageNY
Ratios of Fractions and Their Unit Rates 2
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of...
Curated OER
Dividing Fractions
Reciprocals are the method used for dividing fractions in this instructional session. A fraction is defined as being a division problem, and then the whole group works together to solve several problems. They check for the reasonableness...
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...
Virginia Department of Education
Modeling Multiplication of Fractions
Multiply your understanding of multiplying fractions. A short instructional activity teaches pupils how to multiply fractions. By using fraction models, they get a better understanding of the concept.
Curated OER
Dividing with Fractions
Use paper strips or models to relate division problems to division of fraction problems. Since the materials can be broken up, it helps them to show how they can complete repeated subtraction with fractions and not just whole numbers.
Creative Educator
Fantastic Fractions
Groups of learners create an animation illustrating fractions using common objects. They choose everyday objects that they can divide into fractions. They take pictures of the objects dividing into fractions and create an animation with...
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models II
No more inverting and multiplying to divide fractions. Applying concepts of measurement division from the previous lesson, pupils consider partitive division using fraction bars and number lines. They first convert fractions to like...
Illustrative Mathematics
Making Hot Cocoa, Variation 1
Dividing with fractions can be a confusing task to some, but the activity illustrates how to make groups out of the problem and look at it visually. Use this problem with the lesson in the Additional Materials section to practice this...
EngageNY
Creating Division Stories
Create your own adventure story ... well, not really. The fifth lesson in a 21-part series has pairs create story contexts for division problems. The lesson presents a step-by-step process for pupils to follow in writing such stories.
Curated OER
Division by Fractions (Part Two)
Investigate division through the use of array models. The instructional activity focuses on using area models to compare division as sharing with division as grouping. Students evaluate the usefulness and limitations of the two array...
Curated OER
Division by Fractions (Part One)
Learners demonstrate array models to illustrate division as sharing and grouping. They demonstrate the array models to compare division as sharing with division as grouping. Pupils explore division problems are typically seen as either...
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...
Curated OER
Comparing Fractions
Learners compare three sets of fractions using the greater than, less than, and equal signs. To justify their answers, a drawing is also required that illustrates their reasoning. Including fractions with like and unlike denominators, as...