Handout
Wolfram Research

Wolfram Math World: Indefinite Integral

For Students 9th - 10th
This MathWorld site offers an explanation of the indefinite integral. Includes links to related topics within the explanation.
Activity
Analyze Math

Analyze Math: Differentiation of Exponential Functions

For Students 9th - 10th Standards
Learners examine the derivatives of exponential functions. The tutorial consists of examples and practice problems with solutions.
eBook
Analyze Math

Analyze Math: Tables of Derivatives

For Students 9th - 10th
The resource consists of a table of the common derivatives used in calculus.
Activity
Analyze Math

Analyze Math: Use the Chain Rule of Differentiation in Calculus

For Students 9th - 10th
The tutorial discusses the chain rule of differentiation. The resource consists of examples and practice exercises with solutions.
Handout
Paul Dawkins

Paul's Online Notes: Business Applications

For Students 10th - 12th
Online notes with examples and solutions.
Activity
University of Notre Dame

University of Notre Dame: Approximating Area Under a Curve With Rectangles

For Students 10th - 12th
PDF of examples for finding the area under a curve using rectangles.
Handout
Johan Claeys

Math Abundance: Hyperbolic Functions and Inverses

For Students 9th - 10th Standards
Site has information and examples for topics about hyperbolic functions and inverses.
Activity
Texas Instruments

Texas Instruments: Making Motion Graphs With Toys

For Teachers 9th - 10th
Intended for the beginning lessons in derivative and function graphs, this activity uses motion detectors and battery operated toy cars to generate constant velocity graphs on a TI-83/84. Then students take a free-wheeling car and roll...
Activity
Analyze Math

Analyze Math: Derivative of Inverse Function

For Students 9th - 10th Standards
The tutorial explores the derivatives of inverse functions. Examples and practice exercises with solutions are included.
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Interactive Calculus Tool

For Students 9th - 10th
Investigate graphs of polynomial functions, tangent lines, derivatives, and area under a curve with this interactive applet.
Interactive
Shodor Education Foundation

Shodor Interactivate: Derivate

For Students 9th - 10th
View the graph and the equation of the line tangent to any function at any point on the function.
Handout
Math Open Reference

Math Open Reference: Function Composition the Chain Rule

For Students 9th - 10th
Learn about the chain rule with this helpful reference tool. Provides a detailed definition, examples, and an animation that enhances further explanation. Includes links to related topics.
Handout
Math Open Reference

Math Open Reference: Sine (Sin) Function Trigonometry

For Students 9th - 10th Standards
A complete reference guide to the sine function. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Handout
Math Open Reference

Math Open Reference: Introduction to Differential Equations

For Students 9th - 10th
A thorough reference guide to differential equations. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Handout
Math Open Reference

Math Open Reference: Related Rates

For Students 9th - 10th
A complete reference guide to related rates. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Lesson Plan
Shodor Education Foundation

Shodor Interactivate: Derivate

For Teachers 9th - 10th
Explores derivatives and the idea of infinity using a geometric interpretation of slope.
Handout
Math Open Reference

Math Open Reference: L'hopital's Rule

For Students 9th - 10th
Learn about L'Hopital's Rule with this helpful reference tool. Provides detailed examples that enhances further explanation. Includes links to related topics.
Website
Massachusetts Institute of Technology

Mit: Calculus Index

For Students 9th - 10th Standards
This site from the Massachussets Institute of Technology has links to various topics in calculus.
Handout
Math2

Math2.org: Table of Derivatives

For Students 9th - 10th
A lengthy list of the rules of derivatives. Examples shown include the power of x derivatives, exponential and logarithmic derivatives, trigonometric derivatives, and hyperbolic derivatives. Several of the rules have their proofs...
Handout
Wolfram Research

Wolfram Math World: Rolle's Theorem

For Students 9th - 10th
MathWorld provides a brief description of the Rolle's Theorem. Click on any of the highlighted words to further understand the material.
Website
University of Minnesota

University of Minnesota: How Does Light Travel?

For Students 9th - 10th
Contains a four step procedure to deriving the law of reflection using algebra, Fermat's principle, and calculus (simple derivatives). This is good for an in-class theoretical exercise.
Handout
Wikimedia

Wikipedia: Differential Equation

For Students 9th - 10th
An encyclopedia article on differential equations discusses ordinary differential equations, how differential equations are solved, and uses of differential equations. The site has many links to clarify topics.
Article
Other

Jiskha Homework Help: Math Calculus

For Students 9th - 10th
Jiskha.com offers help with your calculus homework. Use the find button to locate the subject you are interested in. This will take you to the correct link.
Activity
Interactive Mathematics

Interactive Mathematics: Solving Differential Equations

For Students 9th - 10th
This intoduction provides definitions and examples of different types of differential equations. Examples are used to demonstrate the process and allow you to work the problem prior to seeing the solution.