Sketch the Graph of an Antiderivative

Given a graph of f ' and a few points on the graph of f, find the graph of f.

Factoring Trinomials

Factor trinomials while looking at the graph of the quadratic. Some of the examples are not factorable. It is also possible to turn off the graph. There are options to time yourself or to print a worksheet of randomly generated factoring practice problems.

• Problems where a = 1
• Problems where a is not necessarily 1

Arithmetic Practice

Practice all your arithmetic skills on a single screen at ThatQuiz.org. Choose a single operation or a combination. Time yourself or not. Allow negatives or not. Practice with a selected number in all the problems by clicking the Focused checkbox and setting the Level to the number you'd like to practice with. Generate a url for a particular set-up.

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.)