
Here is a project that combines Computer Science and Mathematics. Prove a method for inscribing a circle within a triangle (as shown). You'll also learn how to create an interactive diagram to illustrate your proof, using an applet that runs in your Web browser. If you like solving problems and thinking logically, you'll like this project.
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CompSci_p004
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Time Required 
Short (25 days) 
Prerequisites 
Must understand the concept and method of a mathematical proof 
Material Availability 
Readily available (laptop computer helpful for live demonstration) 
Cost 
Very Low (under $20) 
Safety 
No issues 

This is an interesting geometry project that goes back to the time of Archimedes, the famous Greek mathematician. You can combine this mathematical project with computer science and take this ancient problem into the twentyfirst century with a dynamic diagram using the geometry applet.
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Math_p018
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Time Required 
Short (25 days) 
Prerequisites 
You should either currently be taking or have already completed a first course in geometry. You must understand the concept and method of a mathematical proof. 
Material Availability 
Readily available 
Cost 
Very Low (under $20) 
Safety 
No issues 

Here is a challenging problem for anyone with an interest in geometry. This project requires background research to solve it, but it is an excellent illustration of visual thinking in mathematics.
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Math_p011
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Time Required 
Average (610 days) 
Prerequisites 
Good grasp of Euclidean geometry, a firm understanding of how to construct a mathematical proof, determination 
Material Availability 
Readily available 
Cost 
Very Low (under $20) 
Safety 
No issues 

Have you ever played a computer game in which a cartoon character, like a dog or a cat, moves or turns when you click on it? Have you ever wondered how characters know how far to move or how far to turn? In this computer science project, you will learn how with a simple (and free) program called Scratch, which will let you write your own computer program that tells a cartoon kitty how to draw shapes.
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CompSci_p035
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Time Required 
Short (25 days) 
Prerequisites 
You should have access to a computer with the Internet and room for the Scratch program. Scratch can be downloaded for either Windows (2000 or later) or Mac (OSX 10.4 or later). 
Material Availability 
Readily available 
Cost 
Very Low (under $20) 
Safety 
No issues 

This is an interesting project that explores which geometrical shapes make the strongest bridge truss structures. It is a good introduction to the engineering design process. You'll design three different trusses, and use online simulation software to analyze the distribution of loadbearing forces in each design. Then you'll build and test prototypes of each design.
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CE_p006
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Time Required 
Average (610 days) 
Prerequisites 
Excellent computer skills, high school physics course 
Material Availability 
Readily available 
Cost 
Low ($20  $50) 
Safety 
Use caution with sharp tools when cutting wooden parts to size. Adult supervision recommended for bridgetesting phase. 

How do you turn a 2dimentional piece of paper into a 3dimentional 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 3dimentional 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…
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Math_p032
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Time Required 
Long (24 weeks) 
Prerequisites 

Material Availability 

Cost 

Safety 


Advertisements for hightech sports gear or the latest and greatest outdoor material promise lighter and stronger products every season. Is it a scam? How can engineers keep creating materials that are both lighter and stronger than anything known so far?
The answer is in the nanoscale! Using nanotechnology, scientists can play around with the detailed structure of matter, leading to a whole new range of materials, some with amazing qualities. In this science project, you will get a glimpse…
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MatlSci_p042
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 Less Details
Time Required 
Very Short (≤ 1 day) 
Prerequisites 
None 
Material Availability 
Readily available 
Cost 
Very Low (under $20) 
Safety 
No issues 

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…
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Sports_p064
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Time Required 
Short (25 days) 
Prerequisites 
You should have a familiarity with basic algebra. 
Material Availability 
Readily available 
Cost 
Very Low (under $20) 
Safety 
No issues 

Here is a project that combines Computer Science and Mathematics. The semicircle has two tangent lines that meet at point T. You need to prove that a line drawn from A to T bisects CD. You'll also learn how to create an interactive diagram to illustrate your proof, using an applet that runs in your Web browser. If you like solving problems and thinking logically, you'll like this project.
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CompSci_p009
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 Less Details
Time Required 
Short (25 days) 
Prerequisites 
You should either currently be taking or have already completed a first course in geometry. You must understand the concept and method of a mathematical proof. 
Material Availability 
Readily available (laptop computer helpful for live demonstration) 
Cost 
Very Low (under $20) 
Safety 
No issues 

In this project, you will make 2dimensional templates, called nets, that fold up into 3dimensional (3D) shapes. By making shapes of different sizes, you will be able to see how 3D shapes change with size. Which property (or aspect) will change the most: the length of an edge, the surface area, or the volume?
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Math_p045
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 Less Details
Time Required 
Very Short (≤ 1 day) 
Prerequisites 
None 
Material Availability 
Readily available 
Cost 
Very Low (under $20) 
Safety 
No issues 

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