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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Frequency Histograms
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Can you remember what the weather was like last week? Last year? Here's a project that looks at what the weather was like for over a hundred years. You'll use historical climate data to look at...
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Playing Games
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Almost all of the games we play are based on math in some way or another. Card games, board games, and computer games are designed using statistics, probabilities, and algorithms. Begin by reading...
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Thinking in (Semi-)Circles: The Area of the Arbelos
The
arbelos is the white-shaded region between the three semicircles in the illustration at right. In this project, you'll prove an interesting method for determining the area of the arbelos.
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What's the Fastest Way to Solve Rubik's Cube?
If you like solving challenging puzzles, this could be a good project for you. In this project you'll learn one method for solving Rubik's Cube. Then you'll do your own background research to find other methods for solving the puzzle. Which method works fastest?
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Topologies
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What do knots, maps, mazes, driving directions, and doughnuts have in common? The answer is topology, a branch of mathematics that studies the spatial properties and connections of an object....
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Playing Music
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Music has many mathematical elements in it: rhythm, pitch, scale, frequency, interval, and ratio. There are many ways to turn these elements into a science fair project. You can investigate how the...
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Solving Logic Problems
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You may know Lewis Carroll as the author of
Alice in Wonderland, but did you know that in real life he was a mathematician who studied symbolic logic and logical reasoning? How can math help...
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Index of Pure Mathematics Project Ideas |
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