National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Rational and Irrational Number
Math Forum response to the size of the set of rational numbers. Responses investigate the countability of sets and basic set theory.
Utah Education Network
Uen: Ordering and Computing With Negative Fractions and Decimals
This lesson plan allows students to practice comparing and ordering rational numbers on a number line as well as computing with fractions and decimals. It provides an assessment plan and attachments for the lesson's activities.
Khan Academy
Khan Academy: Ordering Rational Numbers
Practice putting positive and negative fractions and decimals in order. For example, -12/4, -2.5, and 3.25. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
ClassFlow
Class Flow: Rational Numbers
[Free Registration/Login Required] Using a number line, the terms whole numbers, rational numbers and integers are defined positive and negative numbers are discussed.
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.
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...
Khan Academy
Khan Academy: Equations With Two Rational Expressions
Solve advanced rational equations with multiple expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Adding & Subtracting Rational Expressions (Advanced)
Have you learned the basics of rational expression addition/subtraction? Great! Now dig deeper with some advanced examples.
CK-12 Foundation
Ck 12: 2.4 Solving Rational Equations
This section builds from previous sections on simplifying, multiplying, dividing, adding, and subtracting rational expressions, and it investigates how to apply those skills to solving rational equations. It also covers several...
CK-12 Foundation
Ck 12: Arithmetic: Order of Real Numbers Grade 8
[Free Registration/Login may be required to access all resource tools.] Learn how to classify, order, and graph real numbers.
CK-12 Foundation
Ck 12: Algebra: Basics of Real Numbers Study Guide
This comprehensive study guide highlights the main terms and formulas needed to understand the basics of real numbers. Examples are included.
Other
Chili Math: How to Classify Real Numbers
Explains how to classify real numbers and provides numerous examples.
Khan Academy
Khan Academy: Equivalent Expressions With Negative Numbers
Practice finding equivalent multiplication and division expressions. Numbers in these problems may be negative. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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.
Other
Nearpod: Irrational Numbers
In this lesson on irrational numbers, 8th graders explore how to identify and plot irrational numbers.
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.
CK-12 Foundation
Ck 12: Arithmetic: Quotient Estimation With Mixed Numbers/fractions
[Free Registration/Login may be required to access all resource tools.] In this lesson students estimate quotients of fractions and mixed numbers using benchmarks and rounding. Students examine guided notes, review guided practice, watch...
Khan Academy
Khan Academy: Adding Negative Numbers on the Number Line
Practice matching number line diagrams to addition expressions involving negative numbers.
Other
The Prime Glossary: Rational Numbers
This site gives a definition of what a rational number is. Gives examples and formulas. Very helpful.
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.
Texas Instruments
Texas Instruments: Real Numbers
Students learn to identify real numbers as rational numbers and irrational numbers. They review rational numbers as repeating decimals, and irrational numbers as non-repeating decimals. They also review commutative, associative,...
CK-12 Foundation
Ck 12: Algebra: Equations With Decimals, Fractions, and Parentheses
[Free Registration/Login may be required to access all resource tools.] Solve multi-step equations that involve rational numbers
CK-12 Foundation
Ck 12: Algebra: Rational Numbers in Applications
[Free Registration/Login may be required to access all resource tools.] Solve real-world problems involving the addition and subtraction of fractions and evaluate change.
J Coffman
Joseph Coffman's Lecture Notes: Properties of Numbers
The lesson examines properties of real numbers. Students learn about rational numbers, properties of real numbers, and irrational numbers. Examples and an assessment are included.
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