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...
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....
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...
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...
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
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....
West Contra Costa Unified School District
Simplifying Fractions Activity
Warm-up pupils' fraction muscles with a four-question quiz, then delve into a learning game designed to reinforce the concept of simplifying fractions. Based on the "I do, We do, You do" method of teaching, the lesson directly exhibits...
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...
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...
Curated OER
Multiplication and Division of Real Numbers
In this multiplication and division worksheet, students multiply and divide positive and negative fractions, decimals, and whole numbers. This two-page worksheet contains 72 problems.
EngageNY
Multiplying and Dividing Rational Expressions
Five out of four people have trouble with fractions! After comparing simplifying fractions to simplifying rational expressions, pupils use the same principles to multiply and divide rational expressions.
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout the...
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...
Tech4Learning
Fantastic Fractions
Learners study how shapes can be divided into equal parts, that each part be equal to its counterpart, and combining parts equals one whole. They make the shapes out of modeling clay and take digital pictures of its parts to create an...
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 number by a...
EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different ratios and...
Curated OER
To Half or Half Not
Jump into equivalent fractions using these fun scenarios for mathematicians to solve. First, they use geoboards to find different ways to divide a rectangle in half. Then, an alien from the planet Fractional is after one half of their...
Curated OER
Half Math Quilt
Help your third graders become familiar with equivalent fractions for one-half by having them create a quilt. They will use triangles to create a quilt of equivalent fractions over a period of 6 days. As they create the quilt pieces they...
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