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 worksheet, students solve and complete 25 different problems that include identifying numerous types of rational numbers. First, they place a greater than, less than or equal to symbol between the fractions to...

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...

In this rational numbers worksheet, 9th graders solve and complete 12 different problems that include multiplying various rational expressions. First, they find the product of two or more numbers, grouping in pairs. Then, students...

These numbers have some personality! Are they rational or irrational? The lesson examines the definitions of rational and irrational numbers and shows examples of how to identify them. 

In this rational numbers worksheet, 9th graders solve and complete 24 different problems that include dividing various numbers. First, they determine the reciprocal of the second number in each equation. Then, students multiply the first...

Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...

In this rational expression worksheet, students 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...

In this multiplying integers worksheet, students solve 18 different equations by multiplication. First, they multiply the signed integers by applying the appropriate rules. Then, students multiply the absolute values of each and place...

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. 

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...

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

Develop a process with your classes for converting repeating decimals to fractions. Through this process, pupils understand that any repeating decimal can be written as a fraction. The 10th lesson plan in this 25-part module helps...

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. 

Make connections between vectors and matrices through multiplication. Scholars use the interactive to view the effect of multiplying a matrix by a scalar. The interactive displays the resulting matrix and its corresponding column vectors...

If percents, fractions, and decimals can all mean the same number how do we go from one to another? During this instructional activity, watch how it goes over the basic steps needed to go from one rational number to the next. Both...

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....

In this multiplying rational expression worksheet, students are given two examples of how to multiply and then simplify rational expressions.  The examples are complete with steps and justifications.

That's radical! Simplifying radicals may not be exciting, but it is an important skill. A math lesson plan provides explanations of properties used throughout the material. Scholars practice skills needed to multiply and divide...

This is just radical, dude. Learners view a video to learn how to multiply and divide radical expressions as well as the rules for multiplying numbers within the radicand. They also see how to rationalize the denominator. Examples...

Elementary and middle schoolers complete 29 multiplication problems that have fractions and mixed...

A simple real-world problem involving taxi cab fares is used to practice the multplicaiton and division of integers. How many of two different-sized taxis  are needed to transport 75 people to the airport? What is the least...

Use the same procedures, just with rational numbers. The resource builds upon scholars' ability to solve linear equations that involve rational numbers. Pupils solve one-step, two-step and multi-step equations in the review for the...