Introduce a new strategy for comparing fractions by analyzing Melissa's use of benchmarks. Walk the class through her process, calling on students to explain their understanding of each step she took. Then practice this method on two...

Let's build a castle! Dennis and Cody have big plans, but do they have enough blocks between the two of them to accomplish their goal? A great context that requires students to add and compare mixed numbers. Encourage the use of pictures...

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...

Children explore fractions on a conceptual level by making individual quilt squares. Each student works with small paper swatches to divide them into pieces that represent a given fraction. The class is then separated into groups and...

Mixed numbers can be added conceptually, algorithmically, and physically. Have the class visualize mixed numbers by adding fraction bars together. They then discover the algorithmic process that simplifies adding mixed numbers. Finally,...

Students view a large illustration of a pizza with parts of velcro.  In this addition and subtraction of fractions lesson, students solve problems based on the pieces missing from the pizza. Students take a fraction quiz. Order a...

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.

What fraction is represented by these shapes? Scholars examine fraction models as they apply basic fraction skills. The first two problems are guided; they look at a set of shapes with some shaded, circling (from three options) the...

Fun with fractions! Fourth graders practice substituting and reducing fractions. The problems contain blank spaces and become more challenging as the activity progresses. Use this as a building block in your fractions lesson.

There is more than one way to determine a sum. Scholars demonstrate their understanding of the decomposition of fractions similar to the decomposition of whole numbers. The short task requires pupils to determine which sums of fractions...

Math wizards practice adding fractions with unlike denominators on this simple matching worksheet. Presented with ten addition expressions, children must calculate the sum of each and match them to the correct...

Submarine sandwiches not only taste good, they also make for great math models. Follow along as Zoe explains how to calculate equivalent fractions, while cutting up a sandwich for herself and her friend. She demonstrates the process...

Make math simple with this step-by-step presentation on fractions in their simplest form. Multiple approaches are introduced including, most efficiently, the division of numerators and denominators by their greatest common factor. Work...

First, add each set of fractions with unlike denominators. Then, compare their sums with the symbols <, >, or =. 

Subtracting mixed numbers is easy when the fractions have the same denominator. Here, young mathematicians are prompted to find out how many pounds of peaches are left after Alfredo gives some pounds to his neighbor.

The process requires the combination of several concepts. A video shows how individuals need several concepts to add rational expressions. Pupils must remember they need to find common denominators, combine like terms, and use the...

"What are fractions composed of?" is the essential question of a lesson designed to enhance understanding and strengthen the foundation of adding fractions. Mathematicians start by discussing what makes an equation true or false,...

Upper graders change a set of 10 fractions with denominators of either 10, 100 or 1,000 to decimals. Answers and hints are available on-line; a reference web site for additional resources is given.

In this algebra worksheet, students 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 final 7...

In this fractions worksheet, students add fractions that contain common denominators. Students complete 3 addition of fraction problems.

In this math worksheet, students solve 10 problems in which fractions with unlike denominators are added. Problems are in a horizontal format and there are instructions on the page. Most of the denominators are two digit numbers; the LCD...

For this adding and subtracting rational numbers worksheet, students add and subtract 20 sets of fractions with polynomial denominators. Students compute common denominators.

Young mathematicians use fraction names and symbols to describe fractional parts of whole objects or sets of objects. They construct concrete models of fractions, and compare fractional parts of whole objects in a problem situation using...

In this algebra worksheet, students find the common denominator for 8 problems so they can solve for x. The rational equations include binomial expressions as denominators for 5 of the problems.