Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...

In this rational numbers learning exercise, 9th graders solve and complete 16 different problems that include adding and subtracting various rational numbers. First, they determine the sum or difference for each equation. Then, students...

The class solves 19 problems involving rational expressions. They find the least common denominator of fractions, make fractions equivalent and then add or subtract fractions containing rational expressions.

Explore the application of fractions in a real-life situation. Learners manipulate an interactive simulation to model a given scenario. They find fractions of fractions and explain the importance of the part-to-whole comparison.

A six-question interactive takes mathematicians to Lollipop Land where they manipulate lollipop trees to make equivalent ratios.  Question types include multiple-choice, true or false, and a discussion. 

Add an engaging resource to your lessons on rational numbers and watch your pupils' understanding multiply. Learners determine rules for adding, subtracting, multiplying, and dividing integers. Individuals then extend these rules to all...

Guide young mathematicians through the crazy world of negative numbers with a handy reference document. Offering clear instructions for adding and subtracting positive and negative integers, this resource is a great way to...

In this rational number instructional activity, learners add and subtract quantities containing radical expressions.  They identify equivalent expressions.  This three-page instructional activity contains 15 multiple-choice...

Sharing is caring—especially with brownies! Young mathematicians use an interactive to split a batch of brownies between several friends given constraints. They answer some challenge questions to check that each friend has the correct...

In this rational expression activity, learners add and subtract fractional expressions. They completely factor the numerator and denominator. Explanations and examples are provided at the beginning of the document. This two-page...

Get real about learning the real number classification. Young mathematicians create a graphic organizer of the real number system using an interactive. They answer a set of challenge questions on the classifications of real numbers.

A seven-question assessment determines how well your learners understand the procedures to add, subtract, multiply, and divide signed rational numbers. Pupils show their understanding through problem-solving situations. 

Squares can be magic. Pupils use their knowledge of addition of positive and negative rational numbers to create a 3 X 3 magic square where the sums are 1. Scholars create addition and multiplication expressions with a set of rational...

In this math worksheet, students find the solutions to the complex fractions. They practice finding the common denominators for each part of the rational expression.

There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.

Demonstrate the progression of operations with rational expressions through a multi-day lesson, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions....

Five questions—multiple-choice, true or false, and a discussion—make up an interactive that focuses on decimals as mixed numbers. Moveable blocks assist scholars in finding solutions. 

Fifth and sixth graders complete fraction problems involving mixed numbers, word problems, addition of fractions, variables in fractions, and more. They complete five problems.

Order up a resource on comparing rational numbers. Scholars order fractions, decimals, and percents by converting to a single form. They conduct a cut-and-paste activity ordering three sets of rational numbers.

In this rational and irrational numbers worksheet, 7th graders solve 24 different problems that include defining various rational and irrational numbers and/or expressions. First, they identify whether each given number and/or expression...

I can multiply, so why can't I add these radicals? Mathematicians use the distributive property to explain addition of radical expressions. As they learn how to add radicals, they then apply that concept to find the perimeter of...

Is it possible to add infinitely long decimals? As pupils complete the examples in the ninth lesson of this 25-part series, they determine that adding these decimals cannot be done without error. Their task is then to determine the size...

Mathematics involves a study of patterns. The exploratory lesson has learners consider the addition pattern in different sets of numbers. Each set has a different pattern that pupils describe mathematically. The patterns involve...

In this algebra activity, students identify and use the properties of real numbers to solve problems. They identify and differentiate between rational and irrational functions. There are 13 problems.