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Science Fair Project Idea
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 you solve Lewis Carroll's Logic Game? (Bogomolny, 2006) How are algorithms for solving the game Sudoku similar to solving a logic problem? (Hayes, 2006) For the super-advanced mathematical genius, try to evaluate currently available, logic-based computational tools, or design a better one!… Read more
Math_p035
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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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Science Fair Project Idea
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 built to a scale that relates the actual object to the model through a ratio. Can you determine a formula for constructing a scale model? You can use your formula to make a model of your house, school, neighborhood, or town (CUBE, 2002). You can make scale models of the Wright Brothers aircraft… Read more
Math_p028
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Time Required Average (6-10 days)
Science Fair Project Idea
How much water do you use? Conserving water can do more than save your parents' money, it can also save freshwater ecosystems, wetlands, and watersheds. Some companies are trying to help fix the problem by making low flow faucets and showerheads. How well do they work? How much water can you save? Go to the hardware store to buy a few of the water saving products. Compare the amount of water that you run over a period of time to determine how much water you can save. Which water saving… Read more
EnvSci_p021
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Science Fair Project Idea
In the U.S., lighting homes and businesses accounts for 22% of all electric power consumption (Raloff, 2006). That's $55 billion worth of electricity, or the output of 100 large power plants (Raloff, 2006). How much energy could be saved by switching home lighting from incandescent to more efficient fluorescent lights? Conduct a survey to find out what types of lighting are used in homes in your area. Come up with an estimate of how many light fixtures are used in an average home, what types… Read more
Energy_p005
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Time Required Short (2-5 days)
Science Fair Project Idea
How do you turn a 2-dimentional piece of paper into a 3-dimentional work of art? Origami, the classical art of Japanese paper folding, is loaded with mathematical themes and concepts. What are the common folds in origami, and how do they combine to create 3-dimentional structure? Can you classify different types of origami into classes based upon the types of folds they use? Can you show Kawasaki's Theorem, that if you add up the angle measurements of every other angle around a point, the sum… Read more
Math_p032
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Time Required Long (2-4 weeks)
Science Fair Project Idea
A magic square is an arrangement of numbers from 1 to n2 in an n x n matrix. In a magic square each number occurs exactly once such that the sum of the entries of any row, column, or main diagonal is the same. You can make several magic squares and investigate the different properties of the square. Can you make an algorithm for constructing a Magic Square? Can you show that the sum of the entries of any row, column, or main diagonal must be n(n2+1)/2? Are there any other hidden properties of a… Read more
Math_p036
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Temperature also changes with latitude. As you move away from the equator, the temperature tends to decrease. Test this by comparing weather data from weather stations at different lattitudes. (FI, 2006; GLOBE, 2006; NCAR, 2006; NOAA, 2006; Unisys, 2006; Weather Underground, 2006; WMO, 2006) Read more
Weather_p021
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Science Fair Project Idea
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 scale is based upon a special type of number sequence called a Harmonic Series. Another scale used by Bach, called the "Well-Tempered-Scale" or the "Equal-Tempered-Scale", is based upon a series. How are these mathematical series and ratios related to notes, chords, intervals, and octaves? You can… Read more
Math_p034
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Time Required Average (6-10 days)
Science Fair Project Idea
Using just a single sheet of paper (8.5 × 11 inches) and up to five paper clips, can you build a bridge that will span 20 cm and support the weight of 100 pennies? The area beneath the span must be free (so that boats can pass beneath it). To test your bridge, place two books 20 cm apart, and set the bridge on the books, spanning the gap. Do not fasten the bridge to the book (nor to any other support). Does your bridge hold as much weight as you expected it would? If your bridge fails… Read more
CE_p018
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Time Required Short (2-5 days)
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