Find the equation of a line

In this applet a line is randomly generated and the user enters what she thinks the equation is. Her equation is then graphed for comparison with the original. There is a scoring mechanism incorporated as well.

This is my first applet created with JSXGraph , which looks quite promising (though it does require learning Javascript.)

Particularly helpful to me in developing this were Dr. Carol Fisher's Reference on JSXGraph Commands and the convert-to-math script  in use at interactive mathematics. (The latter enables the user to enter the equation using standard calculator notation.) I also found the javascript tutorial at w3schools.com a very useful introduction to javascript.

The application uses MathJax to produce nice mathematical notation.

Solving Absolute Value Equations and Inequalities

When teaching the algebraic solution of absolute value equations and inequalities, have students try problems generated here (on one of Dr. Carol J.V. Fisher's many great interactive math pages). I bet some students will start figuring out function transformations on their own as a result!

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.

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.)

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.