Handout
Charleston School District

Identifying Irrational Numbers

For Students 8th - 9th Standards
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. 
Handout
Charleston School District

Comparing and Ordering Irrational Numbers on a Number Line

For Students 8th - 9th Standards
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...
Handout
Charleston School District

Estimating Values of Expressions

For Students 8th Standards
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...
Handout
Charleston School District

Evaluation of Roots

For Students 8th Standards
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...
Handout
Cabrillo College

Elementary Algebra

For Students 8th - 11th Standards
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...
Lesson Plan
Willow Tree

Simplifying Square Roots

For Students 7th - 10th Standards
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A lesson gives an explanation of a square root and gives examples for simplifying square root...
Handout
Curated OER

The Number System

For Students 11th - 12th
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. 
Handout
Cuemath

Cuemath: Real Numbers

For Students 5th - 8th Standards
A comprehensive guide for learning all about real numbers and their important properties with solved examples and practice questions.
Handout
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Number Systems

For Students 9th - 10th Standards
Find a quick, concise explanation of Real Numbers. Other number systems are also defined such as: Natural, Integer, Rational, Irrational and Complex Numbers.
Handout
CK-12 Foundation

Ck 12: Algebra: Basics of Real Numbers Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to understand the basics of real numbers. Examples are included.
Handout
Other

Chili Math: How to Classify Real Numbers

For Students 6th - 9th
Explains how to classify real numbers and provides numerous examples.
Handout
Help Algebra

Help algebra.com: The Real Number System

For Students 9th - 10th Standards
Natural numbers, whole numbers, integers and rational numbers begin this lesson on the real number system. You can also learn more about the number line and absolute value. Examples and diagrams are included to enhance understanding.
Handout
Cuemath

Cuemath: Irrational Numbers

For Students 9th - 10th Standards
Learn how to identify irrational numbers. This lesson reviews the irrational number list, the difference between irrational and rational numbers, and whether or not irrational numbers are real numbers. Examples are provided along with a...
Handout
Math Is Fun

Math Is Fun: The Evolution of Numbers

For Students 9th - 10th Standards
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...
Handout
Other

The Prime Glossary: Rational Numbers

For Students 9th - 10th Standards
This site gives a definition of what a rational number is. Gives examples and formulas. Very helpful.
Handout
Free Math Help

Free Math Help: Algebra Lesson: Rational Numbers

For Students 9th - 10th Standards
Learners examine the set of real numbers. The resource includes detailed explanations about rational and irrational numbers. It provides example problems.
Handout
Cut the Knot

Cut the Knot!: What Is a Number?

For Students 9th - 10th Standards
Casual and clear but definitely upper-level discussion of rational, real, imaginary, and several other types of numbers. Links to related sites.
Handout
Math Open Reference

Math Open Reference: Number

For Students 9th - 10th
Resource defines numbers into two main categories, counting numbers and scalars. It also gives examples of number notation.