Thursday, July 7, 2011

A First Course in Algebra

Dr. Carol J. V. Fisher has created a thorough online Algebra 1 course complete with interactive exercises for every topic. You can also choose to have a worksheet of practice problems and answers generated. I haven't explored the site that thoroughly yet, but there's a link to a beautifully formatted pdf text for each topic and the interactive web exercises are of good quality. I love that there's an option on the trinomial factoring problems to show the graph of the associated quadratic function!


There are also lots of interactive exercises for Geometry and Algebra 2.

Monday, July 4, 2011

Derivative Matching Game

From a set of graphs, choose function and derivative pairs (or triads, if you'd like to practice with both first and second derivatives.)

Friday, July 1, 2011

Rational Function Graphs

Use this demonstration from the Wolfram Demonstrations Project to explore the graphs of rational functions. Predict whether the function will have any holes and then check "show holes" to see if you're right. (To interact with it online you'll need to download and install Wolfram's free CDF Player.)

Velocity of a Falling Object

Use this demonstration from the Wolfram Demonstrations Project to explore average and instantaneous velocity for a falling object. (To interact with it online you'll need to download and install Wolfram's free CDF Player.)

Graphs of Taylor Polynomials

Use this demonstration from the Wolfram Demonstrations Project to explore Taylor polynomial approximations to a variety of functions. (To interact with it online you'll need to download and install Wolfram's free CDF Player.)

Polar and Rectangular Coordinates

Use this demonstration from the Wolfram Demonstrations Project to explore the relationship between polar and rectangular coordinates. (To interact with it online you'll need to download and install Wolfram's free CDF Player.)

Max-Min Demonstrations from the Wolfram Demonstrations Project

These are some of the demonstrations from the Wolfram Demonstrations Project that illustrate classic Calculus I optimization problems. To interact with these online you'll need to download and install Wolfram's free CDF Player.