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Khan Academy

Khan Academy: Classify Numbers

For Students 8th Standards
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.
Handout
Cuemath

Cuemath: Irrational Numbers

For Students 9th - 10th Standards
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...
eBook
CK-12 Foundation

Ck 12: 2.5 Simple Rational Models

For Students 9th - 10th Standards
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...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Graphing Calculator Practice Problems Rational Numbers

For Students 9th - 10th
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...
Interactive
PBS

Pbs Learning Media: Logical Leaps: Rational Numbers on the Number Line

For Students 6th - 8th
In this interactive, use logic to solve riddles involving a wallaby jumping contest.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Counting Rationals and Integer

For Students 9th - 10th Standards
Math Forum response providing a proof that there are as many rational numbers as integers.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Rational and Irrational Number

For Students 9th - 10th Standards
Math Forum response to the size of the set of rational numbers. Responses investigate the countability of sets and basic set theory.
Lesson Plan
Utah Education Network

Uen: Ordering and Computing With Negative Fractions and Decimals

For Teachers 9th - 10th Standards
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.
Unit Plan
Khan Academy

Khan Academy: Ordering Rational Numbers

For Students 5th - 7th Standards
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.
Whiteboard
ClassFlow

Class Flow: Rational Numbers

For Teachers 9th - 10th Standards
[Free Registration/Login Required] Using a number line, the terms whole numbers, rational numbers and integers are defined positive and negative numbers are discussed.
Unit Plan
Khan Academy

Khan Academy: Classify Numbers: Rational & Irrational

For Students 7th - 8th Standards
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.
Activity
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Rational and Irrational Numbers

For Students 9th - 10th Standards
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...
Unit Plan
Khan Academy

Khan Academy: Equations With Two Rational Expressions

For Students 9th - 10th Standards
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.
Unit Plan
Khan Academy

Khan Academy: Adding & Subtracting Rational Expressions (Advanced)

For Students 10th
Have you learned the basics of rational expression addition/subtraction? Great! Now dig deeper with some advanced examples.
eBook
CK-12 Foundation

Ck 12: 2.4 Solving Rational Equations

For Students 9th - 10th Standards
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...
Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Order of Real Numbers Grade 8

For Students 8th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] Learn how to classify, order, and graph real numbers.
Handout
CK-12 Foundation

Ck 12: Algebra: Basics of Real Numbers Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to understand the basics of real numbers. Examples are included.
Handout
Other

Chili Math: How to Classify Real Numbers

For Students 6th - 9th
Explains how to classify real numbers and provides numerous examples.
Handout
Math Is Fun

Math Is Fun: Irrational Numbers

For Students 9th - 10th Standards
This learning resource investigates irrational numbers. Students learn about the concept by exploring images, definitions, and examples. Includes practice questions.
Unit Plan
Khan Academy

Khan Academy: Equivalent Expressions With Negative Numbers

For Students 6th - 8th
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.
Lesson Plan
Other

Nearpod: Irrational Numbers

For Teachers 8th Standards
In this lesson on irrational numbers, 8th graders explore how to identify and plot irrational numbers.
Handout
CK-12 Foundation

Ck 12: Algebra: Irrational Numbers and Radicals Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to review irrational numbers and radicals. Examples are included.
Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Quotient Estimation With Mixed Numbers/fractions

For Students 6th - 8th Standards
[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...
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Khan Academy

Khan Academy: Adding Negative Numbers on the Number Line

For Students 7th Standards
Practice matching number line diagrams to addition expressions involving negative numbers.

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