Activity
Purple Math

Purplemath: Number Types

For Students 9th - 10th Standards
This site explores the different types of numbers: natural numbers, whole numbers, integers, and rational and irrational numbers. Content includes some practice questions.
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.
Unknown Type
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.
Lesson Plan
Alabama Learning Exchange

Alex: Calm and Erratic!

For Teachers 9th - 10th Standards
During this lesson, students will learn why numbers are rational or irrational. Rational numbers are numbers that can be written in the form a/b. Irrational numbers cannot be expressed in the form a/b, where a and b are integers.
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.
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.
Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Properties of Rational Numbers

For Students 6th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students identify rational numbers as the ratio of two integers. Students examine guided notes, review guided practice, watch instructional videos and...
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Irrational Numbers; Rational Square Roots

For Students 9th - 10th Standards
Dr. Math responds to how one can tell whether a number is rational or irrational. A proof is discussed in the response.
Handout
Math Is Fun

Math Is Fun: The Evolution of Numbers

For Students 9th - 10th Standards
Discusses what numbers are and how our understanding of them has evolved over thousands of years, from simple counting to negative numbers and irrational numbers, for example. Includes a set of practice questions where students identify...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Sets and Symbols

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Classify real numbers as rational numbers, whole numbers, integers, and irrational numbers.
Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Conversion of Decimals, Fractions, and Percent

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Understand, identify and find equivalent forms of rational numbers
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Square Roots and Irrational Numbers

For Students 9th - 10th Standards
Math Forum response to whether square roots of all non-perfect squares are irrational. Contains a proof showing that such cases are, indeed, irrational.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Irrational Pi

For Students 9th - 10th Standards
Math Forum response to the question of why pi is not rational if it is a ratio of circumference to diameter.
Unit Plan
Math.com

Math.com: The Language of Algebra: Definitions

For Students 6th - 8th Standards
The resource investigates the algebra vocabulary. Detailed definitions, examples, and practice problems are included.
Unknown Type
Houghton Mifflin Harcourt

Holt, Rinehart and Winston: Homework Help Independent Practice: Real Numbers

For Students 9th - 10th Standards
Get independent practice working with real numbers. Each incorrect response gets a text box explanation and another try. Correct responses are confirmed.
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.
Activity
Washington State University

Washington State University: Sets & Other Basic Concepts

For Students 9th - 10th
Washington State University provides an introduction to sets and subsets and the symbols used to represent them.

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