eBook
Hofstra University

Hofstra University: Calculus Applied to the Real World

For Students 9th - 10th Standards
This is a very nice layout of information relative to Calculus. The page is divided into various topics each containing a quiz over the material, topic summary, review problems, and on line tools to help with the topic. The topics of the...
Activity
Mathematics Archives

Math Archives: Visual Calculus: Antiderivatives/average Value of a Function

For Students 9th - 10th
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...
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Other

Karl's Calculus Tutor: L'hopital's Rule

For Students 9th - 10th
This site provides a detailed overview of L'Hopital's Rule, and includes numerous examples and exercises. The site begins with a lengthy real world example, page-down until you see L'Hopital's Rule in red if you wish to skip the real...
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Creating a Family Trust

For Students 9th - 10th Standards
Students apply statistics concepts to a real world example. Topics include normal and beta distributions.
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.
Activity
Interactive Mathematics

Interactive Mathematics: Even Crash Test Dummies Use Calculus

For Students 9th - 10th
Using the average value of a function, the severity of injury in crashes can be determined with integral calculus. The mini lessons reveal data that shows why it's in your best interest to wear a seat belt.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Applications of Maxima and Minima

For Students 9th - 10th
Students learn how to apply maxima and minima in real world problems. Topics include optimization problems, objective functions, and constraints. The tutorial explores the calculus concepts through notes and examples. A chapter quiz,...
Study Guide
Department of Defense

Do Dea: Ap Calculus: Radioactivity and Half Life [Pdf]

For Students 9th - 10th
Apply the Law of Exponential Change to solve a "real-world" science problem. Formulas and examples are provided. Great review for the AP Calculus test!
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Khan Academy

Khan Academy: Analyzing Problems Involving Rates of Change in Applied Contexts

For Students 11th Standards
Differential calculus is all about instantaneous rate of change. Let's see how this can be used to solve real-world word problems.
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Khan Academy

Khan Academy: Analyzing Problems Involving Definite Integrals

For Students 11th
The interpretation of definite integrals as accumulation of quantities can be used to solve various real-world word problems.
Activity
Duke University

Duke University: Web Feats Ii: Free Donuts

For Students 9th - 10th
This is an excellent interactive site which walks the student through the process of finding the maximum volume for a box given the length and width of a piece of cardboard. The site poses numerous multiple choice questions for the...
Activity
Interactive Mathematics

Interactive Mathematics: Applications of Indefinite Integrals

For Students 9th - 10th
Displacement, velocity, and acceleration are determined in real world problems using the indefintie integral. Several examples alllow you to see the process at work.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Applications of Parabolas

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Exploring the similarity of parabolas and their use in real world applications
Handout
National Council of Teachers of Mathematics

The Math Forum: Unsure of Which Telephone Plan to Choose?

For Students 9th - 10th
This online activity will help you use step functions as a means of determining the most appropriate calling package for your household.
Activity
Other

Labs and Projects: Applications of Exponential and Logarithmic Function

For Students 9th - 10th Standards
This site has several examples of exponential functions. There is also some background and theory information.
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Interactive Mathematics

Interactive Mathematics: Differential Equations & Rc Circuits

For Students 9th - 10th
Differential equations are applied in solving problems involving electricity and RC circuits. Several examples are provided to allow you to practice applying the concept.
Activity
Interactive Mathematics

Interactive Mathematics: Differential Equations & Rl Circuits

For Students 9th - 10th
Use differential equations to solve problems dealing with series RL circuits. Examples help you practice the application.
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Interactive Mathematics

Interactive Mathematics: Applications of Volumes by Integration

For Students 9th - 10th Standards
Two demonstrations of using integrals to find volume are presented. Detailed solutions are provided to help understand the process.
Activity
Texas Instruments

Texas Instruments: Air Resistance

For Teachers 9th - 10th
Use the TI-89 to investigate the effect of air resistance on a free-falling object. Examples in the activity use calculator screenprints and keystroke instructions to demonstrate the use of the calculator to solve these problems....
Activity
Interactive Mathematics

Interactive Mathematics: Force Due to Liquid Pressure

For Students 9th - 10th
Examples are provided to demonstrate how integrals are used to determine the amount of force liquid produces. The solutions are included, but hidden so students can work the problem independently.
Handout
University of Michigan

University of Michigan: The Mathematics of Basic Pumping Well Hydraulics

For Students 9th - 10th
Discusses the mathematics involved in basic pumping well hydraulics. Includes a section dealing with the steady state solution.
Activity
Other

Wpi: Applications of Exponential & Logarithmic Functions

For Students 9th - 10th Standards
This site explains the Applications of exponential and logarithmic functions with exercises to help the student understand the applications.
Whiteboard
ClassFlow

Class Flow: Fitting Models to Data

For Teachers 9th - 10th
[Free Registration/Login Required] A basic premise of science is that much of the physical world can be described mathematically and many physical phenomena are predictable. This scientific outlook took place in Europe during the late...