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
Other

Chili Math: How to Classify Real Numbers

For Students 6th - 9th
Explains how to classify real numbers and provides numerous examples.
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
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...
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Houghton Mifflin Harcourt

Holt, Rinehart and Winston: Homework Help Independent Practice: Real Numbers

For Students 9th - 10th Standards
Get independent practice working with real numbers. Each incorrect response gets a text box explanation and another try. Correct responses are confirmed.
Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Order of Real Numbers Grade 8

For Students 8th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] Learn how to classify, order, and graph real numbers.
Activity
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Rational and Irrational Numbers

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains rational and irrational numbers as subsets of the real number system. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
Activity
Texas Instruments

Texas Instruments: Real Numbers

For Teachers 9th - 10th Standards
Students learn to identify real numbers as rational numbers and irrational numbers. They review rational numbers as repeating decimals, and irrational numbers as non-repeating decimals. They also review commutative, associative,...
Activity
J Coffman

Joseph Coffman's Lecture Notes: Properties of Numbers

For Students 9th - 10th Standards
The lesson examines properties of real numbers. Students learn about rational numbers, properties of real numbers, and irrational numbers. Examples and an assessment are included.
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...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Properties of Rational Numbers

For Students 7th
[Free Registration/Login may be required to access all resource tools.] Recognize and identify irrational numbers and the set of real numbers
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.
Unknown Type
Khan Academy

Khan Academy: Classify Numbers

For Students 8th Standards
Practice classifying numbers as whole, integer, rational, and irrational. Students receive immediate feedback and have the opportunity to try questions repeatedly, to watch a video, or ask for a hint.
Unknown Type
University of Saskatchewan (Canada)

University of Saskatchewan: Decimal Expansions

For Students 9th - 10th
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with an online tutorial on decimal expansions. It begins with a focus on decimal representation of real numbers, followed by how this...
Unit Plan
Cut the Knot

Cut the Knot!: Polygons: Formality and Intuition

For Students 9th - 10th
This is a very interesting site about polygons. The site begins by distinguishing between shapes whose sides intersect and polygons whose sides do not overlap. After this short introduction, you will find information regarding area and...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ns Irrational Numbers on the Number Line

For Teachers 8th Standards
This task presents students with four irrational numbers and asks them to place them on a real number line without referring to a calculator. Aligns with 8.NS.A.2.
eBook
Mathigon

Mathigon: Real, Irrational, Imaginary Numbers

For Students 9th - 10th Standards
Explore this course in imaginary and complex numbers including topics of integers, real numbers, infinity, transcendental numbers, imaginary and complex numbers.
Lesson Plan
Alabama Learning Exchange

Alex: Rational or Irrational? That Is the Question

For Teachers 6th - 8th Standards
Students will participate in an activity that will help them obtain a feeling of how numbers are related to each other. They will determine whether a number is rational or irrational. Students will also be able to order rational and...
Unit Plan
National Institute of Educational Technologies and Teacher Training (Spain)

Ministerio De Educacion: Los Numerous Reales

For Students 9th - 10th Standards
In this module you will learn about rational and irrational numbers.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: Intermediate Algebra

For Students 9th - 10th
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
Interactive
Doina Popovici

Math Play: Rational and Irrational Numbers Game

For Students 7th - 9th Standards
An interactive game where students have to determine whether a number is a rational or a irrational number.
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.
Activity
Cut the Knot

What's a Rational Number?

For Students 9th - 10th Standards
This question is answered by discussing and comparing rational and irrational numbers. For more advanced levels of Algebra, there are sections that discuss different lemmas of rational numbers and give their proofs.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Sets and Symbols

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Classify real numbers as rational numbers, whole numbers, integers, and irrational numbers.