\(\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + . . . \)

A simple applet illustrating the sum of the geometric series \(\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + . . .  \)

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.)

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.

Introduction to Rectilinear Motion

Watch a particle moving along a line and figure out how to draw the corresponding position vs. time and velocity vs. time graphs. It is possible to change the position function by typing "s(x) = " followed by whatever function you'd like in the input line. (You can also access this applet on GeoGebraTube.)



Download the Geogebra file which is the basis for this applet

Calculus Grapher

A nice applet from the PhET project at the University of Colorado enabling you to quickly "sketch" a graph of a particular shape and to see graphs of its derivative and integral.

SticiGui

There are lots of applets embedded in the relevant locations in this full-length interactive statistics text written by Professor Philip Stark at UC Berkeley.

Basic Descriptive Statistics

This applet from the UK's National STEM Centre allows you to input a mini frequency distribution and then look at various representations of it.

GeoGebra Calculus Applets Project

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This is a collection of applets created by Marc Renault of Shippensburg University. Marc's "goal is to make a complete library of applets for Calculus I that are suitable for in-class demonstrations and/or student exploration."

Introduction to Area Under a Curve

In this applet from the GeoGebra Calculus Applets Project, you enter a function and position endpoints to see what the value of the integral is.

The Area Function

This applet from the GeoGebra Calculus Applets Project provides a way to explore the area function. The default integrand can be changed by right-clicking on the curve.

Solving triangles

Practice solving 30-60-90 triangles or right triangles, or a mix of both at thatquiz.org, a site which allows you to customize practice on basic elementary, middle, and secondary school math topics. Random numbers are automatically generated for a series of problems based on the difficulty level and problem type(s) you choose.

Chain Rule Flashcards

I created these flashcards using Quizlet to help students practice using the chain rule.

Practice with the chain rule when the outside function is ln x

Practice with the chain rule when a power function is plugged into a trig function

Practice with the chain rule when a trig function is plugged into a power function