Curated OER
The Rational Number System
In this rational number system instructional activity, students identify rational and irrational numbers. They use a Venn Diagram to place numbers in their correct number set. This five-page instructional activity contains approximately...
Curated OER
Irrational and Imaginary Root Theorems
For this irrational and imaginary root theorem worksheet, students identify the number of complex zeros for a given function. They write a polynomial function of leas degree with integral coefficients. This four-page worksheet contains...
Curated OER
Rational or Irrational
In this rational and irrational numbers worksheet, 7th graders solve 24 different problems that include defining various rational and irrational numbers and/or expressions. First, they identify whether each given number and/or expression...
Curated OER
Rational, Irrational and Square Roots
Seventh graders identify rational and irrational numbers and then, estimate the square root of numbers that are not perfect squares. They then identify what the radical is and differentiate between that and a division symbol clearly....
Curated OER
Squares and Square Roots II
Students evaluate squares and square roots. Through practice, they discover the inverse relationship between squares and square roots. Students take notes, solve square root and square root problems, and classify numbers as rational or...
Texas Instruments
Texas Instruments: Numb3 Rs: An Irrational Approach to Music
Based off of the hit television show NUMB3RS, this lesson introduces students to the concept of approximating irrational numbers using a continued fraction. For most exercises in the lesson, the values which are to be substituted into...
Wolfram Research
Wolfram Math World: Irrational Numbers
This math site explains what it means for a number to be irrational and names various persons who have proven the irrationality of some numbers, the site also gives several numbers who are thought to be irrational yet have not been...
Tech Target
What Is: Irrational Number
A counterpart problem in measurement would be to find the length of the diagonal of a square whose side is one unit long; there is no subdivision of the unit length that will divide evenly into the length of the diagonal. It thus became...
Illustrative Mathematics
Illustrative Mathematics: N Rn: Rational or Irrational?
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...
Wolfram Research
Wolfram Science World: Pythagoras of Samos (Ca. 560 Ca. 480 Bc)
This site from ScienceWorld provides a short, informative description of many of the contributions of Pythagoras to mathematics. Links exist to some of the contributions as well as to additional information.
ClassFlow
Class Flow: Radical Basics
[Free Registration/Login Required] Using the product rule and rationalizing the denominator.