Oswego City School District
Regents Exam Prep Center: Irrational Approximations
Providing one instructional activity, one practice exercise, and two teacher resources, the information at this website is geared toward young scholars who already understand rational and irrational numbers. The instructional activity...
CK-12 Foundation
Ck 12: Arithmetic: Comparison of Rational Numbers
[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
Common Core Sheets
Common Core Sheets: The Number System 8.ns.1 Worksheets
Print or create worksheets to assess students' understanding of rational and irrational numbers.
CK-12 Foundation
Ck 12: Arithmetic: Properties of Rational Numbers
[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...
Wikimedia
Wikipedia: Irrational Number
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.
Wolfram Research
Wolfram Math World: Rational Number
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.
Cut the Knot
Cut the Knot!: What Is a Number?
Casual and clear but definitely upper-level discussion of rational, real, imaginary, and several other types of numbers. Links to related sites.
Other
Platonic Realms: Conic Sections
A proof to show that the square root of two is an irrational number, followed by a shorter and even more beautiful proof.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Definitions of Rational, Irrational
Math Forum definition and explanation of rational and irrational numbers, the definitions of mathematics is also addressed.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Rational / Irrational Numbers
Math Forum response providing methods to prove that between any two numbers there exist a rational and an irrational number.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: About Rational Numbers
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.
CK-12 Foundation
Ck 12: Algebra: Properties of Rational Numbers
[Free Registration/Login may be required to access all resource tools.] Recognize and identify irrational numbers and the set of real numbers
CK-12 Foundation
Ck 12: Algebra: Irrational Square Roots
[Free Registration/Login may be required to access all resource tools.] Find approximate solutions to equations involving irrational numbers.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Number Systems
Find a quick, concise explanation of Real Numbers. Other number systems are also defined such as: Natural, Integer, Rational, Irrational and Complex Numbers.
Quia
Ixl Learning: Irrational Numbers
Brush up on your math skills relating to irrational numbers then try some practice problems to test your understanding.
Math Open Reference
Math Open Reference: Number
Resource defines numbers into two main categories, counting numbers and scalars. It also gives examples of number notation.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Irrational Powers
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.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra
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,...
Wolfram Research
Wolfram Math World: Irrational Numbers
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...
Alabama Learning Exchange
Alex: Those Number Aren't Just Moody.
Rational numbers can sometimes cause problems when they're converted to repeating decimals. That, we can handle. But, what about those irrational numbers that can only be "sort of, like approximated"? How can we expect middle schoolers...
Common Core Sheets
Common Core Sheets: The Number System 8.ns.2 Worksheets
Print or create worksheets to assess students' understanding of radicals, square roots, and irrational numbers.
Texas Instruments
Texas Instruments: Number Sets
When you start this activity, students receive a Venn diagram of real number sets (natural, whole, integer, rational, irrational)on their calculator. This same diagram is projected on the Activity Center screen at the front of the room....
Help Algebra
Help algebra.com: The Real Number System
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.
Alabama Learning Exchange
Alex: The Real Number System
This instructional activity focuses on a clear understanding of the real number system by using a variety of teaching strategies. A graphic organizer on a slideshow illustrates how the classifications of numbers relate. A kinesthetic...