National Institute of Educational Technologies and Teacher Training (Spain)
Ministerio De Educacion: Los Numerous Reales
In this module you will learn about rational and irrational numbers.
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.
CK-12 Foundation
Ck 12: Algebra: Square Roots and Irrational Numbers
[Free Registration/Login may be required to access all resource tools.] Learn how to find square roots and identify 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 identify rational numbers as the ratio of two integers. Students examine guided notes, review guided practice, watch instructional videos and...
Utah Education Network
Uen: Design Your Own Bedroom
Many students dream of designing their ideal bedroom. In this exercise, students will be required to limit their designs by size (as a specific volume) and price (a specific amount). They must design the floor plan, including furniture...
National Council of Teachers of Mathematics
The Math Forum: Famous Problems in the History of Mathematics
On this site, there are several math problems to explore and solve. Look through some solutions by famous mathematicians and expand your thinking about some interesting math concepts. Teachers of elementary grades may want to use this...
Math Words
Math Words: Rational Numbers
Mathwords provides a brief description with an easy to read chart that includes all types of real numbers.
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...
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...
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.
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.
Oswego City School District
Regents Exam Prep Center: Irrational Approximations
Providing one lesson, one practice exercise, and two teacher resources, the information at this website is geared toward students who already understand rational and irrational numbers. The lesson has explanations of what happens when a...
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...
Math Is Fun
Math Is Fun: Irrational Numbers
This learning resource investigates irrational numbers. Students learn about the concept by exploring images, definitions, and examples. Includes practice questions.
Alabama Learning Exchange
Alex: Rational or Irrational? That Is the Question
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...
Khan Academy
Khan Academy: Approximating Square Roots
Practice finding the approximate value of square roots by thinking about perfect squares. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Irrational Numbers
Find a quick, concise explanation of only irrational numbers. A diagram is given and clearly explained that shows how irrational numbers relate to other number groups.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Rational and Irrational Numbers
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...
Lawrence Hall of Science
The Math Page: Topics in Precalculus
Designed to help high school students to learn precalculus, topics include the formal rules of algebra, rational and irrational numbers and mathematical induction.
Lawrence Hall of Science
The Math Page: Skill in Algebra: Radicals: Rationals & Irrationals
Here is a site that clearly and thoroughly explains many topics related to radicals. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who have...
Tech Target
What Is: Irrational Number
A counterpart problem in measurement would be to find the length of the diagonal of a square whose side is one unit long; there is no subdivision of the unit length that will divide evenly into the length of the diagonal. It thus became...
Khan Academy
Khan Academy: Comparing Irrational Numbers With a Calculator
Practice using a calculator to find the approximate decimal values of irrational numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Comparing Irrational Numbers
Practice comparing irrational numbers without using a calculator. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
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.