Illustrative Mathematics
Running to School, Variation 3
How far is it between school and home? Here is a relatable activity where the participant runs to school a certain fraction of the way. That distance is given in miles. It is up to your learners to determine the distance between home and...
Illustrative Mathematics
Running to School, Variation 2
Rose's commute to school is a fractional distance. After she runs part of the way, your class needs to determine what fractional distance she ran. This problem explores fraction operations through modeling and computation. The...
Curated OER
Locating and Ordering Equivalent Fractions on the Number Line
Elementary schoolers work to develop a deeper understanding of fractions. They use a handout about various gold pieces and attempt to divide them evenly. Then they watch a video clip that watched the CyberSquad solve the gold puzzle....
Curated OER
Dividing Fractions and Mixed Numbers
Learners discover how to divide using mixed numbers. For this division lesson, students demonstrate their knowledge of dividing fractions. Finally, they explore division using mixed numbers.
Curated OER
Dividing Fractions
For this fractions worksheet, students complete a set of 10 problems, dividing and reducing to lowest terms. A reference web site is given for additional activities.
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 instructional activity titled, How Many Servings of Oatmeal? to highlight the...
Curated OER
Popcorn Fractions
Upper graders explore fractions to determine a fractional part of a whole. They are given 30 pieces of popcorn and asked to divide it into halves, thirds, etc. Students practice representing the popcorn groups as a numerator and...
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...
Curated OER
Fractions: Jim and John
Elementary and secondary learners investigate various concepts related to the study of fractions. They use word problems during the introduction to parts of a fraction and proceed to some of the basic operations of using fractions. The...
Curated OER
Equivalent Fractions
In this equivalent fractions worksheet, young scholars read about finding equivalent fractions, then complete a set of 15 problems. A reference web site is given for additional activities.
Curated OER
Change Improper Fractions to Mixed Numbers
In this fractions worksheet, students change improper fractions to mixed numbers. Students complete 10 problems converting from one to the other.
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
Division by Fractions (Part Two)
Investigate division through the use of array models. The lesson plan focuses on using area models to compare division as sharing with division as grouping. Students evaluate the usefulness and limitations of the two array models.
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...
Curated OER
Defining Division
Upper graders explore division through fair-shares. They will review fair shares and fractions as a segway into division. They start by playing "Share Fairly" game and create mathematical arguments for solving problems. Manipulatives and...
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...
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....
Curated OER
Accelerated Arithmetic; Dividing Fractions
In this math worksheet, young scholars divide fractions. Fractions are single digit fractions, both the numerator and denominator are single digits. Students use the method they have learned in class to perform the computation.
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 plan. Using fraction circle manipulatives, children explore basic unit fractions as they develop the...
Illustrative Mathematics
Half of a Recipe
Kids love to cook! What is a better place to learn mixed numbers than with a recipe? It is up to learners to decide how they want to divide this recipe in half. They may choose to model the mixed number and then divide the model by two....
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,...
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...
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...
PBS
Add, Subtract and Multiply Fractions
Your future chefs will appreciate this comprehensive lesson where learners practice operations on fractions using pizza and soup analogies. Learners begin with a pizza analogy that requires the learners to multiply a whole...
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