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

Turning a Circle into a Rectangle

After reading Steven Strogatz's column Take It to the Limit, I developed this animation (using GeoGebra) of Strogatz's diagram which shows why the formula for the area of circle is what it is, and also provides an approximation for π.

Riemann Sums

A GeoGebra applet from The Lawrenceville School's Equation Plotter collection which draws and calculates area approximations for any function you enter.