CK-12 Foundation
Ck 12: Algebra: Irrational Numbers and Radicals Study Guide
This comprehensive study guide highlights the main terms and formulas needed to review irrational numbers and radicals. Examples are included.
Other
Nearpod: Irrational Numbers
In this lesson on irrational numbers, 8th graders explore how to identify and plot irrational 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.
Khan Academy
Khan Academy: Rational vs. Irrational Expressions
Determine whether an expression that is the combination of two rational/irrational numbers is rational or irrational itself. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Illustrative Mathematics
Illustrative Mathematics: N Rn Sums of Rational and Irrational Numbers
The goal of this task is to examine sums and products of rational and irrational numbers. One important property of rational numbers is that their decimals always terminate or repeat: using a slightly different formulation, a rational...
CPALMS
Cpalms: Product of Non Zero Rational and Irrational Numbers
[Free Registration/Login Required] In this formative assessment task, students are asked to explain how rational and irrational numbers differ and why the product of a non-zero rational number and an irrational number is irrational....
Illustrative Mathematics
Illustrative Mathematics: N Rn: Operations With Rational and Irrational Numbers
Experiment with sums and products of rational and irrational numbers. Aligns with N-RN.B.3.
Integrated Publishing
Integrated Publishing: Rational and Irrational Numbers
Content, suitable for an introductory algebra course, explains the difference between rational and irrational numbers, how to rationalize the denominator, how to evaluate radicals and the square root process. Practice problems included.
Illustrative Mathematics
Illustrative Mathematics: 8.ns Comparing Rational and Irrational Numbers
For this task, 8th graders are presented with pairs of rational or irrational numbers. They must state which number in the pair is higher and explain their thinking. Aligns with 8.NS.A.2.
Cut the Knot
What's a Rational Number?
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.
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...
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...
ClassFlow
Class Flow: Rational and Irrational Numbers
[Free Registration/Login Required] By the end of the lesson, students will classify numbers into number families to help understand how to distinguish the difference between rational and irrational numbers. Students will demonstrate this...
Math Is Fun
Math Is Fun: The Evolution of Numbers
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...
Khan Academy
Khan Academy: Classify Numbers: Rational & Irrational
Practice identifying whether numbers are rational or irrational. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
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.
Cuemath
Cuemath: Real Numbers
A comprehensive guide for learning all about real numbers and their important properties with solved examples and practice questions.
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
Alabama Learning Exchange
Alex: Rational or Irrational? That Is the Question
Learners 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...
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Numbers
Math Forum response to request for information on various number sets. Also defined and discussed are integers, natural numbers, whole numbers, irrational numbers, transcendental numbers, and algebraic numbers.
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.
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.
Khan Academy
Khan Academy: Classify Numbers
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.
University of Saskatchewan (Canada)
University of Saskatchewan: Decimal Expansions
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...