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Science Fair Project Idea
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. Figure 1 below shows a semicircle (AE, in red) with a series of smaller semicircles (AB, BC, CD, DE, in blue) constructed inside it. As you can see, the sum of the diameters of the four smaller semicircles is equal to the diameter of the large semicircle. The area of the larger… Read more
Math_p010
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Time Required Very Short (≤ 1 day)
Prerequisites Must understand the concept of a mathematical proof
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Science Fair Project Idea
Although fractal images can be intriguingly complex, fractals are more than just pretty pictures. In this project, you'll explore the mathematical properties of the famous Mandelbrot (illustration on the Background tab) and Julia sets. You'll learn about how these images are generated, and about the relationship between the Mandelbrot set and the Julia sets. Read more
Math_p013
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Time Required Average (6-10 days)
Prerequisites Good understanding of algebra, excellent computer skills
Material Availability Computer with Internet access required
Cost Very Low (under $20)
Safety No issues
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
Have you ever wanted to analyze data from a NASA spacecraft? In this science project you will use data from NASA's MESSENGER mission to measure the diameter and calculate the depth of impact craters on Mercury. You will then analyze that data for relationships between a crater's depth and diameter. This is your chance to perform a science project as a NASA researcher would! Read more
Astro_p036
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Time Required Very Short (≤ 1 day)
Prerequisites Geometry: familiarity using sine, cosine, and tangent to solve right triangles
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
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
You can see examples of parabolic reflectors in flashlights, car headlights, satellite TV antennas, and even on the sidelines at football games. How do these "dish" antennas work to gather signals? What is the best position for placing the detector for these antennas? In this project, you can use an LED and a simple photodetector to find out for yourself. Read more
Elec_p040
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Time Required Long (2-4 weeks)
Prerequisites None
Material Availability Specialty items
Cost Average ($50 - $100)
Safety No issues
Science Fair Project Idea
This is a great science fair project for someone who is interested in both mathematics and art. Spidrons are geometric forms made from alternating sequences of equilateral and isosceles (30°, 30°, 120°) triangles. Spidrons were discovered and named by Daniel Erdély in the early 1970's, and have since been studied by mathematicians and artists alike. This project is a great way to learn about the mathematics and art of tiling patterns. Read more
Math_p043
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Time Required Long (2-4 weeks)
Prerequisites To do this science fair project, you should have at least one year of geometry.
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Science Fair Project Idea
If you've ever played or watched basketball, you might already know that your chances of successfully banking a shot on the backboard are higher in certain positions on the basketball court, even when keeping the distance from the hoop the same. Ever wondered what would account for this? Do you think you could actually explain this using geometry? This science project will put your knowledge of geometry and algebra to good use. You will calculate and quantify how much more difficult it is to… Read more
Sports_p064
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Time Required Short (2-5 days)
Prerequisites You should have a familiarity with basic algebra.
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Science Fair Project Idea
If you have ever tried to hit a target (such as a trash can) with a wad of paper, you know that aim is everything. But it is not always easy to get it right every time! Missing is not that big a deal with a wad of paper, but what if you were in an invading army in the Middle Ages, using a catapult to hurl huge stones and knock down castle walls? For a successful invasion, it would be important to know exactly how far, and how reliably, a catapult could launch a projectile. In this project you… Read more
Math_p046
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Time Required Average (6-10 days)
Prerequisites An introductory-level understanding of statistics (mean, standard deviation, and the normal distribution) is helpful, but not required for completing this project.
Material Availability Requires catapult kit. See the Materials and Equipment list for details.
Cost Average ($40 - $80)
Safety Do not aim the catapult at people or breakable objects; minor injury possible.
Science Fair Project Idea
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. Read more
Math_p026
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Time Required Short (2-5 days)
Prerequisites None
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
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