National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Irrational Pi
Math Forum response to the question of why pi is not rational if it is a ratio of circumference to diameter.
Lawrence Hall of Science
The Math Page: Topics in Precalculus
Designed to help high school students to learn precalculus, topics include the formal rules of algebra, rational and irrational numbers and mathematical induction.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Numbers
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.
ClassFlow
Class Flow: Irrational Numbers
[Free Registration/Login Required] Students are introduced to irrational numbers, and the application in various expressions.
PBS
Pbs Learning Media: The Hound of the Baskervilles 3: The Seance
Students explore the advantages and disadvantages of adapting a classic work for the screen in this excerpt from Masterpiece's 2002 version of The Hound of the Baskervilles. Using a scene that was created especially for the film,...
Cut the Knot
Cut the Knot!: Polygons: Formality and Intuition
This is a very interesting site about polygons. The site begins by distinguishing between shapes whose sides intersect and polygons whose sides do not overlap. After this short introduction, you will find information regarding area and...
CK-12 Foundation
Ck 12: Algebra: Simplification of Radical Expressions
[Free Registration/Login may be required to access all resource tools.] Simplify radical expressions by using distribution and rationalizing the denominator.
Cut the Knot
Cut the Knot!: What Is a Number?
Casual and clear but definitely upper-level discussion of rational, real, imaginary, and several other types of numbers. Links to related sites.
Math Is Fun
Math Is Fun: The Evolution of Numbers
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...
Purple Math
Purplemath: Number Types
This site explores the different types of numbers: natural numbers, whole numbers, integers, and rational and irrational numbers. Content includes some practice questions.
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.
CK-12 Foundation
Ck 12: Algebra: Sets and Symbols
[Free Registration/Login may be required to access all resource tools.] Classify real numbers as rational numbers, whole numbers, integers, and irrational numbers.
Common Core Sheets
Common Core Sheets: The Number System 8.ns.1 Worksheets
Print or create worksheets to assess students' understanding of rational and irrational numbers.
University of Missouri
University of Missouri: The Mc Donaldization of Society
This site focuses on bureaucracy, the process of rationalization, and the power of the fast-food restaurant as an organizational force.
CK-12 Foundation
Ck 12: Arithmetic: Conversion of Decimals, Fractions, and Percent
[Free Registration/Login may be required to access all resource tools.] Understand, identify and find equivalent forms of rational numbers
Texas Instruments
Texas Instruments: Real Numbers
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,...
Alabama Learning Exchange
Alex: Calm and Erratic!
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.
J Coffman
Joseph Coffman's Lecture Notes: Properties of Numbers
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.
National Institute of Educational Technologies and Teacher Training (Spain)
Ministerio De Educacion: Los Numerous Reales
In this module you will learn about rational and irrational numbers.
Common Core Sheets
Common Core Sheets: The Number System 8.ns.2 Worksheets
Print or create worksheets to assess students' understanding of radicals, square roots, and irrational numbers.
Alabama Learning Exchange
Alex: Those Number Aren't Just Moody.
Rational numbers can sometimes cause problems when they're converted to repeating decimals. That, we can handle. But, what about those irrational numbers that can only be "sort of, like approximated"? How can we expect middle schoolers...
Texas Instruments
Texas Instruments: Number Sets
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....
Help Algebra
Help algebra.com: The Real Number System
Natural numbers, whole numbers, integers and rational numbers begin this lesson on the real number system. You can also learn more about the number line and absolute value. Examples and diagrams are included to enhance understanding.
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.
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