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Wake Forest University
Authentic Activities for Connecting Mathematics to the Real World
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...
Illustrative Mathematics
Influenza epidemic
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...
Illustrative Mathematics
Tides
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...
Mathematics Archives
Math Archives: Visual Calculus: Antiderivatives/average Value of a Function
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...
Other
Karl's Calculus Tutor: L'hopital's Rule
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...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Creating a Family Trust
Students apply statistics concepts to a real world example. Topics include normal and beta distributions.
Wolfram Research
Wolfram Science World: Cl Circuit
Shows how simple harmonic motion is used in a circuit comprised of an inductor and a capacitor. Includes detailed formula derivation utilizing calculus.
Interactive Mathematics
Interactive Mathematics: Even Crash Test Dummies Use Calculus
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.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Applications of Maxima and Minima
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,...
Duke University
Duke University: Web Feats Ii: Free Donuts
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...
Interactive Mathematics
Interactive Mathematics: Applications of Indefinite Integrals
Displacement, velocity, and acceleration are determined in real world problems using the indefintie integral. Several examples alllow you to see the process at work.
Other
Labs and Projects: Applications of Exponential and Logarithmic Function
This site has several examples of exponential functions. There is also some background and theory information.
Interactive Mathematics
Interactive Mathematics: Differential Equations & Rc Circuits
Differential equations are applied in solving problems involving electricity and RC circuits. Several examples are provided to allow you to practice applying the concept.
Interactive Mathematics
Interactive Mathematics: Differential Equations & Rl Circuits
Use differential equations to solve problems dealing with series RL circuits. Examples help you practice the application.
Interactive Mathematics
Interactive Mathematics: Applications of Volumes by Integration
Two demonstrations of using integrals to find volume are presented. Detailed solutions are provided to help understand the process.
Texas Instruments
Texas Instruments: Air Resistance
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....
Interactive Mathematics
Interactive Mathematics: Force Due to Liquid Pressure
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.
Other
Wpi: Applications of Exponential & Logarithmic Functions
This site explains the Applications of exponential and logarithmic functions with exercises to help the student understand the applications.