Scale Models
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Many industries rely on scale models to develop new products and designs. Architects, industrial designers, artists, clothing designers, and car manufacturers all use scale models. Each model is...
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Frequency of Outcomes in a Small Number of Trials
People often draw conclusions from a small number of observations, but how easy is it to draw the
wrong conclusion? Here is a simple project that shows the importance of making enough observations before making a prediction.
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The Birthday Paradox
This project shows how mathematical probability sometimes contradicts our intuition. Despite the fact that there are 365 days in a year, if you survey a random group of just 23 people there is a 50:50 chance that two of them will have the same birthday. Don't believe it? Try this project and see for yourself.
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Money Problems
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Math can make you money! If you understand some basic math, you can make good decisions about how to keep, spend, and use your hard earned dollars. Try an experiment comparing the same balance in...
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Gigantic, Invisible Triangles: Measuring Height (or Altitude) with an Inclinometer
If you've ever wondered how tall that bridge is, or how high your kite was, then this could be a good project for you. You'll learn how you can use the mathematics of right triangles to measure the height of an object with two measurements that you can make on the ground.
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Dice Probabilities
You're playing Monopoly with a friend, and you've already got Park Place and you really, really want to get Boardwalk. If you're on Pacific Avenue, what are the chances you'll reach your goal? Here's an easy project that will show you how to find out.
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Divide and Conquer: Proving Pick's Theorem for Lattice Polygons
If you like to play Tetris then you might like this project. You'll learn something interesting about the mathematics of complex shapes.
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Throwing You Some Curves: Is Red or Blue Longer?
This a straightforward, but interesting, project in geometry. It is a good first proof to try on your own. You should be able to figure it out by yourself, and you'll gain insight into a basic property of circles.
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Around the World: The Geometry of Shooting Baskets
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Take shots at a set distance from the basket, but systematically vary the angle to the backboard. For a basic project: How do you think your success rate will vary with angle? Draw a conclusion...
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Geometry of Goal-Scoring
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Block off one-third of a soccer net with a cone, 5-gallon bucket or some other suitable object. Shoot into the smaller side from a set distance, but systematically varying the angle to the goal...
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Index of Pure Mathematics Project Ideas |
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