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.
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.
Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Comparison of Rational Numbers

For Students 7th
[Free Registration/Login may be required to access all resource tools.] Compare and order rational numbers on a number line and by using inequality symbols
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...
Handout
Wikimedia

Wikipedia: Irrational Number

For Students 9th - 10th Standards
At this site from Wikipedia you can learn the definition of an irrational number, then look at examples and explanations of why some numbers are irrational and others are not.
Lesson Plan
Alabama Learning Exchange

Alex: Calm and Erratic!

For Teachers 9th - 10th Standards
During this lesson, learners will learn why numbers are rational or irrational. Rational numbers are numbers that can be written in the form a/b. Irrational numbers cannot be expressed in the form a/b, where a and b are integers.
Unknown Type
Common Core Sheets

Common Core Sheets: The Number System 8.ns.2 Worksheets

For Teachers 8th Standards
Print or create worksheets to assess students' understanding of radicals, square roots, and irrational numbers.
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.
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.
Activity
Wolfram Research

Wolfram Math World: Rational Number

For Students 9th - 10th Standards
This site gives an overview of rational numbers, gives interesting facts about the rational numbers including countability and probability of a rational numbers denominator being even. The site also contains related links.
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.
Activity
Purple Math

Purplemath: Number Types

For Students 9th - 10th Standards
This site explores the different types of numbers: natural numbers, whole numbers, integers, and rational and irrational numbers. Content includes some practice questions.
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.
Handout
Other

Platonic Realms: Conic Sections

For Students 9th - 10th Standards
A proof to show that the square root of two is an irrational number, followed by a shorter and even more beautiful proof.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Rational / Irrational Numbers

For Students 9th - 10th Standards
Math Forum response providing methods to prove that between any two numbers there exist a rational and an irrational number.
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
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
Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Conversion of Decimals, Fractions, and Percent

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Understand, identify and find equivalent forms of rational numbers
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
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
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.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Irrational Powers

For Students 9th - 10th Standards
Math Forum response considering whether an irrational number taken to an irrational power yields a rational or irrational number. Responses include a method of generating irrational #s x & y such that x^y is rational.
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,...
Activity
Wolfram Research

Wolfram Math World: Irrational Numbers

For Students 9th - 10th Standards
This math site explains what it means for a number to be irrational and names various persons who have proven the irrationality of some numbers, the site also gives several numbers who are thought to be irrational yet have not been...