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Others Like “What Makes a Team's Winning Percentage Deviate from the Pythagorean Relationship?”

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Science Fair Project Idea
Here's a project that will teach you about math as you follow some of your favorite players or teams. You'll be comparing day-to-day performance with long-term averages, and trying to determine if the "streaks" and "slumps" over shorter time periods are due to random chance or something else. When you've finished, you'll have a better understanding of some important concepts in statistical analysis and baseball. If a player goes 0-for-20, does that mean anything? Using probability theory,… Read more
Math_p004
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Time Required Average (6-10 days)
Prerequisites Basic knowledge of Microsoft Excel and statistics
Material Availability Readily Available
Cost Very Low (under $20)
Science Fair Project Idea
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 about games and game theory. Then you can choose your favorite game and investigate the mathematical principles behind how it works. Can combinatorial game theory help you to win two-player games of perfect knowledge such as go, chess, or checkers? (Weisstein, 2006; Watkins, 2004) In a multi-player… Read more
Math_p033
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Time Required Average (6-10 days)
Science Fair Project Idea
You can compare the picture quality for photos taken at different shutter speeds with the camera handheld vs. with the camera on a tripod. (This is best done with a camera that has manual exposure control.) Read more
Photo_p017
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Time Required Average (6-10 days)
Science Fair Project Idea
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 from your experimental results. A bar graph showing success rate at different angles can help to illustrate your conclusion. For a more advanced project: Use your knowledge of geometry and basketball to come up with a mathematical expression to predict your success rate as a function of angle… Read more
Math_p037
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Time Required Short (2-5 days)
Science Fair Project Idea
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 line. Take enough shots at each angle to get a reliable sample. How does success vary with angle? For a basic project: How do you think your success rate will vary with angle? Draw a conclusion from your experimental results. A bar graph showing success rate at different angles can help to… Read more
Math_p038
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Time Required Short (2-5 days)
Science Fair Project Idea
If you like to play Tetris, then you might like this project. You will learn something interesting about the mathematics of complex shapes as you try to prove Pick's Theorem. The strange shape below is an example of a lattice polygon, which is a polygon whose vertices lie on points in the plane that have integer coordinates. As you can see, it is a complex shape, but there is an easy way to calculate its area, by simply counting lattice points! If you count the number of lattice points on… Read more
Math_p009
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Time Required Short (2-5 days)
Prerequisites None
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Science Fair Project Idea
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 different types of bank accounts. How much better is a savings account than a checking account? What difference does the interest rate make? Which is better, an account that earns compound or simple interest? Can you compare the short and long term costs of borrowing money compared to saving the cash… Read more
Math_p027
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Time Required Short (2-5 days)
Science Fair Project Idea
Here's a project that combines sports and math. You'll learn how to use correlation analysis to choose the best team batting statistic for predicting run-scoring ability (Albert, 2003). You'll also learn how to use a spreadsheet to measure correlations between two variables. Read more
Math_p041
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Time Required Short (2-5 days)
Science Fair Project Idea
Is winning correlated with fun? Pick a video game which has different difficulty settings, for example easy versus hard mode. Ask volunteers who have never played the game before to try it out. Some of them should use the easy mode and others should use the hard mode, this will ensure that you have a range in the amount of winning and losing among your volunteers. Keep track of how much each player is winning. Survey the volunteers to find out if they like the game. Do people who win more like… Read more
Games_p010
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Time Required Average (6-10 days)
Prerequisites None
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Science Fair Project Idea
Has a milk-based soup, sauce, or gravy ever curdled on you (formed lumps) as you were preparing it? Curdling is the process of coagulation that occurs where the proteins in the milk clump together. Sometimes curdling is desirable—for example, if you want to make a delicious cheese or yogurt—but if you are trying to make a milk-based soup or gratin, or if you're adding milk to a hot drink, curdling is very unwanted because you lose the smooth, creamy texture. Nobody likes clumps and… Read more
FoodSci_p029
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Time Required Average (6-10 days)
Prerequisites None
Material Availability Readily available
Cost Very Low (under $20)
Safety Adult supervision is recommended when using the stove.
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