A fractal is, "a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced/size copy of the whole" (Mandelbrot, 1982). There are many different fractal patterns, each with unique properties and typically named after the mathematician who discovered it. A fractal increases in complexity as it is generated through repeated sets of numbers called iterations. There are many interesting projects exploring fractal geometry that go beyond…
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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.
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Is your computer fast? How quickly do you think it can do 100 million arithmetic problems? Do you think it could beat your friend's computer or another one at school? Try this science project to discover an easy way to measure whether or not your computer is a math whiz.
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CompSci_p011

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Time Required

Very Short (≤ 1 day)

Prerequisites

None

Material Availability

Requires computer with Java-enabled web browser (Java Runtime Environment version 1.5 or later) and Internet access

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 (2-5 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).

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 load-bearing 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 (6-10 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 bridge-testing phase.

Juice boxes are so convenient—just poke the straw in and sip away! But have you ever noticed that some juice boxes don't seem to have much juice, even when they have a lot of packaging? It might surprise you how much thought goes into the design and manufacturing of a juice box. Each manufacturer has carefully calculated how big each side should be to hold a certain amount of juice inside. In this science project, you will find out how different brands of juice measure up.
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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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This project challenges you to figure out how to make geometric patterns with Rubik's Cube. Leaving your cube in one of these positions makes it much more tempting to pick it up and 'fix' it. Can you figure out how to make a checkerboard, or a cube-within-a-cube? Can you make only the center piece a different color from the rest? Can you figure out how to solve the cube from these positions?
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Math_p024

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Time Required

Long (2-4 weeks)

Prerequisites

To do this project you should enjoy solving puzzles and thinking in three dimensions. This project requires starting with Rubik's Cube in the solved position, so you will need to know how to solve the puzzle in order to do this project.

One piece of Play-Doh can make many different shapes. Even though you can change the shape by squishing or stretching the Play-Doh, it is still the same size unless you add or take away some of the dough. Try this experiment to test how these changes in size and shape occur in each dimension.
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