Handout
Cuemath

Cuemath: Integral

For Students 9th - 10th
A comprehensive guide for learning all about integrals with definitions, types and formulas, solved examples, and practice questions.
Study Guide
Department of Defense

Do Dea: Marginal Cost, Marginal Revenue

For Students 9th - 10th
Business applications of derivatives are widely used. Marginal revenue, cost, and profit functions that you can find by taking the respective derivatives of revenue, cost, or profit would provide very valuable information to a business....
Study Guide
Department of Defense

Do Dea: Optimization the Basics

For Students 9th - 10th
In this lesson, you learn how to apply the concepts of maxima and minima to any formula that is generated by business, economics, physics, etc. It is one of the most important applications of derivatives and will show up on your AP...
Study Guide
Department of Defense

Do Dea: Optimization Examples

For Students 9th - 10th
Practice types of problems you will see on AP Calculus test that deal with optimization. Formulas and examples are provided.
Handout
Wolfram Research

Wolfram Math World: Product Rule

For Students 9th - 10th
This MathWorld site explains the process of taking a derivative, in particlar the derivative of a product. The page begins by showing the concept of taking a derivative using mathematical notation, and breaking the result into component...
Activity
Wolfram Research

Wolfram Science World: Cl Circuit

For Students 9th - 10th
Shows how simple harmonic motion is used in a circuit comprised of an inductor and a capacitor. Includes detailed formula derivation utilizing calculus.
Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Volume Equations for a Sphere and Pyramid

For Students 9th - 10th Standards
This site uses calculus to explain how the formulas for finding the volume of a sphere and a pyramid were derived.
Website
Math2

Math2

For Students 9th - 10th Standards
This is a site for students and teachers of all grade levels. If you are looking for math tables, general information about math topics, or you would like to ask a question, this is the site to visit.
Handout
Hofstra University

Hofstra: Techniques of Differentiation

For Students 9th - 10th
This applied calculus tutorial explains the various rules for taking the derivative of a function as well as giving a general formula for the operation and numerous examples.
Study Guide
Department of Defense

Do Dea: Free Fall Constants for Earth

For Students 9th - 10th
When you work with equations that show position, velocity, acceleration of objects that are flying or falling through the air, you will be using the constant that is the acceleration due to gravity. View formulas, explanations, and...
Unit Plan
Cuemath

Cuemath: Integration

For Students 9th - 10th
Explore the world of integration in this mini-lesson. Learn the integration rule and other integral concepts and try your hand at a few practice questions.
Study Guide
Department of Defense

Do Dea: Instantaneous Rates of Change

For Students 9th - 10th Standards
Prepare for the AP Calculus exam by reviewing the most common relationships that are used in calculus. Formulas and examples are provided.
Handout
Wolfram Research

Wolfram Science World: Brownian Motion

For Students 9th - 10th
This site from ScienceWorld gives a brief description of Brownian motion. It also goes on with a detailed series of formula derivations utilizing calculus. Links to related topics and definitions are given.