Willow Tree
Rational vs. Irrational Numbers
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...
Charleston School District
Identifying Irrational Numbers
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.
Charleston School District
Comparing and Ordering Irrational Numbers on a Number Line
Estimating the value of numbers is much harder than it sounds! Scholars compare and order the value of numbers presented in different forms including fractions, decimals, roots, integers, and pi. This builds on the previous lessons in...
Math Mammoth
Add & Subtract Integers Fact Sheet
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...
Charleston School District
Evaluation of Roots
You mean the square root of five and five don't have the same value? Learners estimate the value of irrational roots. As they practice estimating the value, they increase their understanding of roots. The lesson is the fourth in a series...
Cabrillo College
Elementary Algebra
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a...
Charleston School District
Estimating Values of Expressions
You can't evaluate an irrational root expression without a calculator—or can you? Scholars estimate the value of roots within an expression to approximate the value of the expression. Expressions include a mix of square roots and whole...
Charleston School District
Converting Fractions and Decimals
A decimal is just a fraction in disguise! Scholars learn methods for converting decimals and fractions including repeating decimals. Performing the conversions strengthens their understanding of the relationship between the two forms....
Curated OER
The Number System
Review complex numbers, real numbers, irrational and rational numbers, integers, and whole numbers with math students. Use this guide as a reference sheet or handout.
Del Mar College
Exponential and Radical Rules
So many rules and so little time. Make it easy and provide all the exponent and radical rules in one place as an easy reference guide. All of the properties come with several examples to show how the rules apply to different problems.
El Paso Community College
Quadratic Equations
This resource has everything you need to know about solving quadratic equations. Factoring, completing the square, the quadratic formula, and using the discriminant are all there with with worked out examples and a 25 problem...
Willow Tree
Linear Relationships
There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...
Virginia Department of Education
Equation Vocabulary
You'd feel bad if someone called you by the wrong name — and equations are no different. Young mathematicians learn the vocabulary associated with equations and expressions identifying these components in sample equations.
Cuemath
Cuemath: Rational Numbers
This lesson defines rational numbers and teaches you how to identify them. A handy chart is provided that shows the difference between irrational and rational numbers.
Quia
Ixl Learning: Comparing Rational Numbers
Brush up on your math skills relating to comparing rational numbers then try some practice problems to test your understanding.
Math Open Reference
Math Open Reference: Rational Numbers
Learn about rational numbers with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
University of Toronto (Canada)
University of Toronto: Rational Numbers
This site from the University of Toronto provides a look at rational numbers and properties of the rational number system.
Education Place
Houghton Mifflin: Eduplace: Lesson Plan: What Is It? Rational Numbers
This site is a great place for lesson information on the concept of rational numbers. Three other tabs are available besides the-What Is It? tab. They are Tips and Tricks, When Students Ask, and Lesson Ideas. Each tab has just the right...
Free Math Help
Free Math Help: Algebra Lesson: Rational Numbers
Learners examine the set of real numbers. The resource includes detailed explanations about rational and irrational numbers. It provides example problems.
Math Is Fun
Math Is Fun: The Evolution of Numbers
Discusses what numbers are and how our understanding of them has evolved over thousands of years, from simple counting to negative numbers and irrational numbers, for example. Includes a set of practice questions where students identify...
Cuemath
Cuemath: Real Numbers
A comprehensive guide for learning all about real numbers and their important properties with solved examples and practice questions.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Rational Numbers
Find a quick, concise explanation of rational numbers. Examples are given and clearly explained.
Other
Math Only Math: Subtraction of Rational Numbers
Discusses how to subtract rational numbers through detailed explanations of the steps for solving six problems.
Other
Interactive Real Analysis: Natural Numbers, Integers, Rationals
A rigorous definition of natural numbers, integers, and rationals numbers, using advanced mathematics language. Contains links to proofs.
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