Illustrative Mathematics
Making Hot Cocoa, Variation 2
Learners are introduced to dividing by fractions in a visual way. Setting up groups from the information in the problem allows them to see what we divide and why. Use with the previous lesson, which can be found in Additional Materials,...
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 instructional activity in the Additional Materials section to...
Illustrative Mathematics
Fractions and Rectangles
Visual models are excellent teaching tools when explaining equivalent fractions. Looking at a rectangle cut into twelfths, learners first identify the shaded fraction, and then explain whether the fraction is equal to one-fourth....
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...
Baylor College
Food: The Math Link
Enrich your study of food science with with these math worksheets. They offer a variety of food-related word problems that are great practice for multiplying, identifying fractions, estimating length, and performing calculations...
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...
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 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
Making Cookies
Hooray for chocolate chip cookies! Ask your mathematicians to triple a chocolate chip cookie recipe and then reduce the recipe by one-fourth. Your class may need two days to complete, tripling the recipe the first day and reducing the...
Illustrative Mathematics
Running a Mile
The single question in this activity has multiple ways to be solved. Two boys ran a mile. Their times were similar, except one time was a fraction of the other. Who ran faster? In demonstrating the answer to this problem, upper graders...
Illustrative Mathematics
Origami Stars
This one problem concentrates on the important concept of dividing a whole number by a unit fraction. Here, young mathematicians use pictures they draw to help answer this problem. Insight into the connection between multiplication and...
Illustrative Mathematics
Converting Decimal Representations of Rational Numbers to Fraction Representations
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of...
Illustrative Mathematics
How Much Pie?
The connection between fractions and division is not always intuitive for 5th graders. Pie, on the other hand, is something 5th graders can connect with. Multiple pies divided among multiple people provide the platform for your...
Illustrative Mathematics
Comparing Products
How can 5th graders show understanding that 30 x 225 is half of 60 x 225 without completing the computation? They can use an area model and draw it out. An array, or an open array, is an area model that allows for young learners to...
Science Friday
Make a Model of a Home Made From Shipping Containers
Build a scale model of a home built out of shipping containers. A hands-on activity has scholars watch a video about a home built from shipping containers and then design their own home. They build scale models of their designed homes...
Other
Ministerio De Educacion: Multiplicacion Y Division De Fracciones
In this activity, you can reinforce your skills of multiplying and dividing fractions.
Lawrence Hall of Science
The Math Page: Skill in Algebra: Multiplying & Dividing Algebraic Fractions
Here is a site that clearly and thoroughly explains multiplying and dividing algebraic fractions (rational expressions). There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
BBC
Bbc: Bitesize Revision: Multiplying & Dividing Fraction
You can get a brief look at how to multiply and divide fractions at this location. Examples are clear and easy to follow.
Interactive Mathematics
Interactive Mathematics: Multiplication & Division of Fractions
Starting with numerical expressions, this demonstration shows how to simplify algebraic expressions using multiplication and division. Examples are included for practicing the concept.
Other
Kid's Page Archive: Free Printable Math Worksheets
Great source for math worksheets on all four whole number operations, fractions, and miscellaneous arithmetic topics. Could be used to assess basic arithmetic skills for areas that need remediation.
Math Is Fun
Math Is Fun: Using Rational Numbers
This site offers simple examples for adding, subtracting, multiplying, and dividing rational numbers. It also provides examples of writing fractions in simplest form and as mixed numbers or improper fractions. Students can test their...
Help Algebra
Help algebra.com: Simplifying Rational Expressions
The process of factoring and canceling is used to simplify, multiply, and divide rational expressions. Adding and subtracting rational expressions is also demonstrated, including finding common denominators.
Hopelink
Hopelink: Teaching Percentages
Students can brush up on percentage skills with this lesson and calculate percentages using the "Percent Tricks method." For students to successfully use this method, they must have the ability to multiply and divide whole numbers.