Curated OER
Jon and Charlie's Run
Let's use math to solve an argument. Jon and Charlie are debating about who can run farther, but who is right? That's what your class will figure out as they apply their understanding of fractions to this real-life situation. A simple,...
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....
Virginia Department of Education
Modeling Division of Fractions
Provide a meaningful context for learning about the division of fractions with this upper-elementary math lesson. Presented with a simple, real-world problem, young mathematicians work in small groups to develop visual models that help...
Illustrative Mathematics
How Many Marbles?
Don't lose your marbles! This simple story problem helps make teaching division with fractions much easier. Work on this problem along with the lesson titled, How Many Servings of Oatmeal? to highlight the difference between the two...
Curated OER
Multiplication and Division Word Problems Made Easy
Marbles to learn math? What fun! Discuss the rules of multiplication and division when applied to whole numbers, decimals, and fractions. Small groups use6 marbles to design different types of multiplication and division problems, and...
Rational Number Project
Initial Fraction Ideas: Lesson 3
Visual models support young mathematicians as they deepen their fractional number sense in this elementary math lesson. Using fraction circle manipulatives, children explore basic unit fractions as they develop the fundamental...
Illustrative Mathematics
Drinking Juice, Variation 3
It is up to the learner to find the amount of juice originally in a bottle, knowing what fraction of the juice is left, and the amount that has been consumed. The accompanying commentary provides a useful and detailed description of...
Curated OER
Multiplication and Division Pick 'n' Mix 2
Fifth graders practice a wide range of strategies for solving multiplication and division problems with whole numbers and decimal fractions. They interact with operations on decimals, relevant size and place value of decimals to three...
West Contra Costa Unified School District
Modeling Division of Fractions
Introduce young mathematicians to the process of dividing fractions with a hands-on math instructional activity. Using the help of fraction strips and other visual models, children work through a series of example problems as they deepen...
Illustrative Mathematics
The Stamp Collection
By using language like "half of the stamps," children are exposed to patterns in arithmetic that requires solving a two-step word problem. This type of language opens a new door for transitioning learners toward understanding fractions...
EngageNY
The Relationship Between Visual Fraction Models and Equations
Ours is to wonder why, not just to invert and multiply. The seventh installment of a 21-part module uses fraction models to help pupils understand why the invert-and-multiply strategy for dividing fractions works. They then work on some...
Illustrative Mathematics
Drinking Juice, Variation 2
An excellent activity using word problems where pupils interpret and compute quotients of fractions. The commentary includes using a fraction bar model and equations to represent the problem. In this variation of the resource, the...
EngageNY
Finding a Rate by Dividing Two Quantities
Develop the right station to solve rate word problems. The 18th lesson in a series of 29 starts by interpreting the aspects of rates with two different quantities. Pupils use the interpretation of rates to solve problems, and groups work...
Curated OER
Fraction Animals
Second, third, and fourth graders explore fraction strategies and division by splitting sets of farm animals into equal numbers. Independently, they read word problems, solve them, and check their answers.
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...
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.
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
More Division Stories
Don't part with a resource on partitive division. Continuing along the lines of the previous lesson, pupils create stories for division problems, this time for partitive division problems. Trying out different situations and units allows...
EngageNY
Dividing Fractions and Mixed Numbers
Class members discover how to extend division to fractions to mixed numbers. Individuals first review how to convert mixed numbers to improper fractions and then apply division strategies learned in previous lessons. A memory game tests...
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...
Curated OER
Lesson 3: Number Sense
Learners solve word problems using number sense. They convert fractions to decimals and mixed numbers. Pupils determine if a given fraction is greater or less than another fraction, and order numbers on a number line.
Curated OER
Summer Bridge Activities
Youngsters start by writing a story about going to outer space. They then solve math word problems, match words to their correct meaning by using a dictionary, solve multiplication and division problems, and add the correct prefixes and...
Curated OER
Dividing Radical Expressions
In this algebra worksheet, young scholars simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the...
Pennsylvania Department of Education
Dividing with Fractions
Fifth graders explore the strategies to solve word problems using multiplication and division. In this problem solving lesson, 5th graders recognize the relationship between multiplication and division to solve problems. Students view...