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
Lawrence Hall of Science

The Math Page: Topics in Precalculus

For Students 9th - 10th Standards
Designed to help high school students to learn precalculus, topics include the formal rules of algebra, rational and irrational numbers and mathematical induction.
Whiteboard
ClassFlow

Class Flow: Irrational Numbers

For Teachers 9th - 10th Standards
[Free Registration/Login Required] Students are introduced to irrational numbers, and the application in various expressions.
Handout
Cuemath

Cuemath: Rational Numbers

For Students 9th - 10th Standards
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.
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.
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.
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.
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,...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Irrational Square Roots

For Students 8th Standards
[Free Registration/Login may be required to access all resource tools.] Find approximate solutions to equations involving irrational numbers.
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.
Unknown Type
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.
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
Math Open Reference

Math Open Reference: Irrational Number

For Students 9th - 10th Standards
Learn about irrational numbers with this easy reference guide. Provides a detailed definition and examples that enhance further explanation. Provides links to related topics.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N Rn: Rational or Irrational?

For Teachers 9th - 10th Standards
In each of the following problems, a number is given. If possible, determine whether the given number is rational or irrational. In some cases, it may be impossible to determine whether the given number is rational or irrational. Justify...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ns Identifying Rational Numbers

For Teachers 8th Standards
For this task, 8th graders are presented with a mixed set of eight different numbers and must identify them as rational or irrational and explain how they know. Aligns with 8.NS.A.1.
Graphic
Math Words

Math Words: Rational Numbers

For Students 9th - 10th Standards
Mathwords provides a brief description with an easy to read chart that includes all types of real numbers.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: About Rational Numbers

For Students 9th - 10th Standards
Math Forum response giving a rather thorough overview of rational and irrational numbers, with a brief look at the history of these and other number sets.
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...
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.
Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Properties of Rational Numbers

For Students 7th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn to simplify and order rational numbers. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Properties of Rational Numbers

For Students 6th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students identify rational numbers as the ratio of two integers. Students examine guided notes, review guided practice, watch instructional videos and...
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,...
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Khan Academy

Khan Academy: Classifying Numbers

For Students 6th - 8th
In this exercise, students practice classifying numbers. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.