Curated OER
Around We Go
Fourth graders investigate a range of circles, each with a different radius, diameter and circumference and assemble this information in their search for relationships.The measurement of circles and the relationships to be found within...
Curated OER
Addition Review
Students explore the concept of addition as used in the subject of Algebra while reviewing the different methods using a number line. The lesson includes examples for students to use for scaffolding for group work or whole class...
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...
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: 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.
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...
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.
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.
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.
Cuemath
Cuemath: Irrational Numbers
Learn how to identify irrational numbers. This lesson reviews the irrational number list, the difference between irrational and rational numbers, and whether or not irrational numbers are real numbers. Examples are provided along with a...
Cuemath
Cuemath: Rational Numbers
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.
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...
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.
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.
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...
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: Rational or Irrational?
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...
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.
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...
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