Explain the timing of a lake cleanup to the EPA using calculus. A project-based learning opportunity has learners compare rate functions to compute a total change. Their solutions explain the time needed to rid a lake of pollutants.

Give AP Calculus classes the opportunity to check the accuracy of their calculations! A calculus activity involves the collection of data, the application of mathematics, and the analysis of the accuracy of results. Young mathematicians...

Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they...

Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...

Twelfth graders explore an application of integration. A calculus lesson prompts class members to find the length of the day where they live during the winter and summer solstice.  Using data relating to the solstices at...

An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created...

Birthdays are a time for celebration, and now they're a time for calculation! An AP calculus lesson uniquely explores relationships between a polynomial function and its derivative. Learners create a cubic function based...

Class members blend their knowledge of functions and problem-solving skills to provide business advice to the Turbo Blender manufacturers. Through a project-based approach, learners examine marginal cost data to produce a function....

Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities...

Looking for a fun and creative way to celebrate Pi Day? Then this is the resource for you. From a scavenger hunt and trivia contest to PowerPoint presentations and skills practice worksheets, this collection of materials is a...

It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...

This activity presents a real-world problem about an epidemic of influenza spreading through a city. Learners refer to a graph that shows the number of individuals infected in relation to the number of weeks that have elapsed since...

Help mathematicians see that a formula found in a physics book has an algebraic structure. Though the formula given in the resource looks complicated, learners are to break down the expressions and interpret each part separately....

Learners practice using their knowledge of how to interpret a function and use function notation. The activity includes two questions. Given an input of a function and its output, the first question asks learners to write the ordered...

A very simple example of a functional relationship between depth of water and time is shown here. In fact, it might be more useful to use a coastal tide book to better illustrate this real-world experience. Pupils are to count the number...

This site visually explores the fundamental theorem of calculus. On-line animation helps the student visualize the process.

This site uses an example to explain the fundamental theorem of calculus. The student can change the problem. At the bottom of the page is a link to a table of elemantary indefinite integrals.

A site detailing the history of calculus. Many links to informative pages on historical figures. Also links to birthplace maps.

Good site on calculus with links to the topics about calculus.

This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...

Very nice tutorial explaining integration by parts in calculus. The tutorial explains the formula in detail and then has links to online examples the student can work.

Visual Calculus briefly states the comparison test theorem with the proof and exercise solutions as links.

This site explains the fundamental theorem of calculus with examples.

Part of Karl's Calculus Tutorial, this page explains the fundamental theorem of calculus. The site includes examples for the student to work through.