Rational Numbers Teacher Resources

Sometimes your quotients are more rational than your students, especially when they are trying to understand the concept of rational number. It might help to start with this video answering the question: What Is a Rational Number? Once they get the idea, you can move on by talking about the intricacies of rational numbers and reinforcing the lesson with another video, this one on the Addition of Rational Numbers.

The best way to for budding mathematicians to master this algebra concept is to offer plenty of practice. Assign or hand out this worksheet where students Compare and Order Rational Numbers. Or, cover Common Core skills and a game at the same time with a Suduku-like activity that provides practice, reinforcement, and maybe even a little bit of fun. If you’re covering rational numbers in Algebra I, Algebra, or your general math class, capitalize on the humorous fact that rational numbers don’t seem all that rational when they are first introduced. Extend your lesson by Assessing Behaviors Using Rational Numbers.

Showing 979 resources
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Handout
Lawrence Hall of Science

The Math Page: Topics in Precalculus

For Students 9th - 10th Standards
Designed to help high school students to learn precalculus, topics include the formal rules of algebra, rational and irrational numbers and mathematical induction.
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Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Numbers

For Students 9th - 10th Standards
Math Forum response to request for information on various number sets. Also defined and discussed are integers, natural numbers, whole numbers, irrational numbers, transcendental numbers, and algebraic numbers.
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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.
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Activity
Lawrence Hall of Science

The Math Page: Skill in Algebra: Radicals: Rationals & Irrationals

For Students 9th - 10th Standards
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...
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Instructional Video
Other

Algebra2go: Classifying Real Numbers

For Students 9th - 10th Standards
In this video tutorial, Professor Perez uses a real number line to demonstrate integers, natural numbers, rational and irrational numbers, and whole numbers. [8:17]
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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...
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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.
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Activity
Texas Instruments

Texas Instruments: Number Sets

For Teachers 9th - 10th
When you start this activity, students receive a Venn diagram of real number sets (natural, whole, integer, rational, irrational)on their calculator. This same diagram is projected on the Activity Center screen at the front of the room....
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Unit Plan
Khan Academy

Khan Academy: Absolute Value to Find Distance

For Students 6th - 8th Standards
Practice taking the absolute value of the difference of two numbers to find the distance between those numbers. Apply this principle to solve word problems. Students receive immediate feedback and have the opportunity to try questions...
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Khan Academy

Khan Academy: Rational Number Word Problems

For Students 7th Standards
Practice solving rational number word problems.
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Instructional Video
Khan Academy

Khan Academy: Adding Rational Expression: Unlike Denominators

For Students 10th
Sal rewrites (5x)/(2x-3)+(-4x^2)(3x+1) as (-8x^3+27x^2+5x)/(2x-3)(3x+1).
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Instructional Video
Khan Academy

Khan Academy: Adding & Subtracting Rational Expressions: Like Denominators

For Students 10th
Sal adds 6/(2x^2-7) + (-3x-8)/(2x^2-7) and subtracts (9x^2+3)/(14x^2-9) - (-3x^2+5)/(14x^2-9).
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Unit Plan
National Institute of Educational Technologies and Teacher Training (Spain)

Ministerio De Educacion: Los Numerous Reales

For Students 9th - 10th Standards
In this module you will learn about rational and irrational numbers.
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Instructional Video
Math Mammoth

Math Mammoth: How to Convert Fractions to Decimals

For Students 7th Standards
This lesson introduces how to change fractions into decimals. Also explains the difference between rational and irrational numbers. [10:26]
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Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Repeating Decimals

For Students 6th - 8th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students write fractions and mixed numbers as repeating decimals. Students examine guided notes, review guided practice, watch instructional videos...
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Unit Plan
TED Talks

Ted: Ted Ed: A Brief History of Numerical Systems

For Students 9th - 10th
1, 2, 3, 4, 5, 6, 7, 8, 9 and 0. With just these ten symbols, we can write any rational number imaginable. But why these particular symbols? Why ten of them? And why do we arrange them the way we do? Alessandra King gives a brief history...
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Khan Academy

Khan Academy: Add & Subtract Rational Expressions

For Students 10th
Example: Subtract and simplify (a-2)/(a+2) - (a-3)/(a^2+4a+4).
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Khan Academy

Khan Academy: Add & Subtract Rational Expressions: Like Denominators

For Students 10th
Example: Add and simplify 6/(2x^2-7) + (-3x-8)/(2x^2-7).
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Unknown Type
Khan Academy

Khan Academy: Add & Subtract Rational Expressions: Factored Denominators

For Students 10th
Example: Add and simplify x/(2x+1)(x-7) + 2x^2/(2x-3)(x-7).
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Unit Plan
Khan Academy

Khan Academy: Writing Fractions as Repeating Decimals

For Students 7th - 8th Standards
Practice writing fractions as repeating decimals. Get ready to bust out those long division skills! Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
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Handout
Math Open Reference

Math Open Reference: Number

For Students 9th - 10th
Resource defines numbers into two main categories, counting numbers and scalars. It also gives examples of number notation.
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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.
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Handout
Other

Chili Math: How to Classify Real Numbers

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

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