Handout
Other

The Prime Glossary: Rational Numbers

For Students 9th - 10th Standards
This site gives a definition of what a rational number is. Gives examples and formulas. Very helpful.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: About Rational Numbers

For Students 9th - 10th Standards
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.
Activity
Texas Instruments

Texas Instruments: Real Numbers

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

Ck 12: Algebra: Equations With Decimals, Fractions, and Parentheses

For Students 8th Standards
[Free Registration/Login may be required to access all resource tools.] Solve multi-step equations that involve rational numbers
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Rational Numbers in Applications

For Students 9th - 10th
[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.
Activity
J Coffman

Joseph Coffman's Lecture Notes: Properties of Numbers

For Students 9th - 10th Standards
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.
PPT
Sophia Learning

Sophia: Multiplying Rationals: Lesson 2

For Students 9th - 10th Standards
This lesson demonstrates how to multiply rational numbers using algebraic notation. It is 2 of 6 in the series titled "Multiplying Rationals."
Unknown Type
CPALMS

Cpalms: Product of Non Zero Rational and Irrational Numbers

For Teachers 9th - 10th Standards
[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....
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N Rn: Operations With Rational and Irrational Numbers

For Teachers 9th - 10th Standards
Experiment with sums and products of rational and irrational numbers. Aligns with N-RN.B.3.
Activity
Integrated Publishing

Integrated Publishing: Rational and Irrational Numbers

For Students 9th - 10th Standards
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N Rn: Rational or Irrational?

For Teachers 9th - 10th Standards
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ns Comparing Rational and Irrational Numbers

For Teachers 8th Standards
For this task, 8th graders are presented with pairs of rational or irrational numbers. They must state which number in the pair is higher and explain their thinking. Aligns with 8.NS.A.2.
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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Khan Academy

Khan Academy: Rational Number Word Problems

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

Khan Academy: Adding Negative Numbers

For Students 7th
Practice adding positive and negative single-digit numbers.
Unit Plan
PBS

Pbs: Logical Leaps: Fractions, Mixed Numbers, and Decimals on the Number Line

For Students 6th - 8th
In this interactive, students use logic to solve three riddles involving a frog jumping contest and then place the contestants' jumps at the correct points on the number line. Numbers are randomized so that the frogs' placements on the...
Interactive
Mr. Martini's Classroom

Mr. Martini's Classroom: Mr. Martini's Classroom: Kids Math Comparing Numbers

For Students Pre-K - 1st Standards
Compare numbers from 1 to 40 using inequality symbols and equal sign with this interactive game.
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Khan Academy

Khan Academy: Adding & Subtracting Negative Numbers

For Students 7th Standards
Practice solving addition and subtraction problems with integers (positive and negative numbers).
Activity
University of Utah

University of Utah: Rational Number Tutorial

For Students 9th - 10th Standards
Use this site to learn the basics about rational numbers in this tutorial. There are exercises to check for understanding are included.
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Khan Academy

Khan Academy: Rational Numbers on the Number Line

For Students 6th - 8th Standards
In this exercise, students practice placing fractions on the number line. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Why Repeating Decimals Are Rational?

For Students 9th - 10th Standards
Math Forum response to why all repeating decimals are rational numbers, including examples and concise explanations.
Handout
Cut the Knot

Cut the Knot!: What Is a Number?

For Students 9th - 10th Standards
Casual and clear but definitely upper-level discussion of rational, real, imaginary, and several other types of numbers. Links to related sites.
Unknown Type
Khan Academy

Khan Academy: Rational vs. Irrational Expressions

For Students 9th - 10th Standards
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...
Interactive
Cool Math

Coolmath: Rational Functions the Whole Thing

For Students 10th - 12th Standards
Explanation and examples of rational functions.

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