PBS
Pbs: Logical Leaps: Graphing Inequalities: Fractions, Mixed Numbers, and Decimals
In this interactive, use logic to solve three riddles involving a jumping frog competition. Then, using knowledge of inequalities and rational numbers, place the frogs in the correct range from 0 to 5 on a number line. The fractions,...
Other
Math Only Math: Subtraction of Rational Numbers
Discusses how to subtract rational numbers through detailed explanations of the steps for solving six problems.
Illustrative Mathematics
Illustrative Mathematics: 8.ns Converting Decimal Rational Numbers to Fractions
Eighth graders are presented with three repeating decimal numbers and must convert them to fraction format. Aligns with 8.NS.A.1.
Other
Interactive Real Analysis: Natural Numbers, Integers, Rationals
A rigorous definition of natural numbers, integers, and rationals numbers, using advanced mathematics language. Contains links to proofs.
Sophia Learning
Sophia: Dividing Rational Numbers
Explore the term reciprocal (multiplicative inverse) when dividing rational numbers and take a quiz to assess learning.
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.
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...
CK-12 Foundation
Ck 12: 2.5 Simple Rational Models
This section draws on previous sections that explored how to add, subtract, multiply, and divide rational numbers in order to solve real-world problems involving rational equations. It explores how to apply these procedures in order to...
Varsity Tutors
Varsity Tutors: Hotmath: Graphing Calculator Practice Problems Rational Numbers
Practice using your graphing calculator for rational number problems, including decimal and fraction operations. If you get stumped or if you would like to check your work, then select the View Solution button, which is located directly...
PBS
Pbs Learning Media: Logical Leaps: Rational Numbers on the Number Line
In this interactive, use logic to solve riddles involving a wallaby jumping contest.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Counting Rationals and Integer
Math Forum response providing a proof that there are as many rational numbers as integers.
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.
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