Illustrative Mathematics
Fractions and Rectangles
Visual models are excellent teaching tools when explaining equivalent fractions. Looking at a rectangle cut into twelfths, students first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....
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.
Curated OER
Fractions in Action
Investigate equivalent fractions with your class. They compare and order fractions. Then they work cooperatively in groups to experiment and problem solve with fractions using a game format. Multiple resources are provided.
Fraction Bars
Multiplying Fractions Times Whole Numbers and Fractions
Fifth graders make the connections using models between multiplying a fraction times a whole number and multiplying a fraction times a fraction. After completing three teacher-led activities, pupils access a website on their own to play...
NTTI
Hey Good Lookin', Whatchya Got Cookin'?
What better way to explore working with fractions then by using them when cooking? In this lesson, students use video, the Internet, and real world, hands-on learning activities to enhance their understanding of multiplying and dividing...
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...
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...
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...
Mathematics Assessment Project
Translating Between Repeating Decimals and Fractions
Model for your young mathematicians the process for converting repeating decimals to fractions. To demonstrate their understanding of the process, class members then complete and assessment task and participate in an activity matching...
Curated OER
Division by Fractions (Part Two)
Investigate division through the use of array models. The lesson focuses on using area models to compare division as sharing with division as grouping. Learners evaluate the usefulness and limitations of the two array models.
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...
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
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....
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...
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.
Curated OER
Equivalent Fractions
Students complete a worksheet. In this fractions lesson, students review their knowledge of fractions, define equivalent fractions, see examples of equivalent fractions and practice making equivalent fractions.
Curated OER
Drop it or not?
Learners explore fractions. In this fraction lesson, students play an interactive game and use manipulatives to practice working with fractions.
Curated OER
Comparing Apples With Apples 1
Elementary schoolers observe and demonstrate how to add and subtract fractions with like denominators. They observe the teacher model a variety of fraction addition and subtraction problems and use fraction strips to complete a worksheet.
Curated OER
Rule for Equality of Fractions
Here is a instructional activity on equality of fractions. Learners use fraction bar manipulatives as the instructional activity goes along to help them visually understand equivalent fractions. The activities described are top-notch,...
Curated OER
Equality of Fractions
Here is a lesson on equality of fractions designed for fourth graders. Learners work in groups and utilize fraction bars to help them work through a variety of activities. They split up into pairs and play an online game called the...
Fraction Bars
Solving Word Problems - Whole Numbers Times Fractions
An impressive instructional activity where pupils visualize models and solve problems involving multiplying a whole number times a fraction. Fraction bars are used to help learners truly understand what's happening during this...
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
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...
Illustrative Mathematics
Running to School
The object of this activity is to compute how far Rosa ran to school. Given in the exercise is the fractional number of miles between home and school and the fractional distance Rosa ran. The commentary shows several ways to have your...