Science and Mathematics Initiative for Learning Enhancement (SMILE)
Smile: Real World Applications Work Problems
A lesson plan incorporating the use of real world work, rate, and time problems. Examples are provided and strategies for effective use of the lesson are included.
Cool Math
Coolmath: Fractional Exponents
This prealgebra tutorial explains fractional (rational) exponents.
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...
Purple Math
Purplemath: Graphing Rational Functions: Introduction
To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then sketch in the graph. Once you get the swing of things, rational functions are actually fairly simple to graph. This resources provides...
Purple Math
Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun
This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.
Purple Math
Purplemath: Solving Rational Inequalities
Demonstrates the factor-table method for solving rational inequalities.
Curated OER
Graphs: Online Calculator
This resource presents an online calculator which allows you to graph rational functions. Requires Java plug-in.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Definitions of Rational, Irrational
Math Forum definition and explanation of rational and irrational numbers, the definitions of mathematics is also addressed.
ClassFlow
Class Flow: Radical Basics
[Free Registration/Login Required] Using the product rule and rationalizing the denominator.
New Advent
Catholic Encyclopedia: Induction
Excellent article that clearly explains the meaning and significance of "induction" in the history of philosophy. Relates the concept to philosophy of science as well as epistemology, demonstrating how the issues raised by induction are...
Purple Math
Purplemath: Factoring Polynomials: How To
Demonstrates the steps involved in factoring a general polynomial, including using the Rational Roots Test and synthetic division. Shows how to "cheat" with a graphing calculator.
Purple Math
Purplemath: The Rational Roots Test
Demonstrates how to use the Rational Roots Test to list possible fractional solutions for polynomials.
Purple Math
Purplemath: Solving Polynomials: How To
Demonstrates the steps involved in solving a general polynomial, including how to use the Rational Roots Test and synthetic division. Points out when using a graphing calculator can be very helpful.
Curated OER
Oregon State University: Rational Functions
A look at graphs of rational expressions, finding properties of the graph by using calculus. Formulas included.