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Seventh Grade, Pure Mathematics Projects, Lessons, Activities (17 results)

Wikipedia defines mathematics as "the study of quantity, structure, space and change." With a definition like that, it's easy to see why math is often called "the language of science." Math is essential for analyzing and communicating scientific results, and for stating scientific theories in a way that is clear, succinct, and testable.

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Puzzle Fun with a Perimeter Magic Triangle
STEM Activity
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85 reviews
Do you ever use math as a tool to solve interesting problems? In the 1970s math was often taught with simple worksheets. One teacher developed an exciting way to learn math and logic; he developed what is now known as the perimeter magic triangle puzzles. Try them out—and have some fun as you start thinking about counting in a whole new way! Read more
Design Your Own 3D Printed Optical Illusion
Science Fair Project Idea
Engineering Design Process
The "impossible arrow" is an amazing optical illusion: an arrow that always seems to point to the right, even when you rotate it 180°. If you place the arrow in front of a mirror, however, its reflection points to the left! How does this illusion work? Can you design your own "impossible" shapes? Try this project and find out! Read more
What Are the Chances?
STEM Activity
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43 reviews
Have you ever heard anyone say the chance of something happening is "50-50"? What does that actually mean? This phrase has something to do with probability. Probability tells you how likely it is that an event will occur. This means that for certain events you can actually calculate how likely it is that they will happen. In this activity, you will do these calculations and then test if your calculations hold true for reality! Read more
Gigantic, Invisible Triangles: Measuring Height (or Altitude) with an Inclinometer
Science Fair Project Idea
Scientific Method
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
The Birthday Paradox
Science Fair Project Idea
Scientific Method
This project shows how mathematical probability sometimes contradicts our intuition. Despite the fact that there are 365 days in a year, if you survey a random group of just 23 people there is a 50:50 chance that two of them will have the same birthday. Don't believe it? Try this project and see for yourself. Read more
What's the Fastest Way to Solve Rubik's Cube?
Science Fair Project Idea
Scientific Method
If you like solving challenging puzzles, this could be a good project for you. In this project you will research different methods for solving a Rubik's cube, and then do an experiment to compare them to each other. Which method works fastest? Read more
Around the World: The Geometry of Shooting Baskets
Science Fair Project Idea
Scientific Method
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
Dice Probabilities
Science Fair Project Idea
Scientific Method
You're playing Monopoly with a friend, and you've already got Park Place and you really, really want to get Boardwalk. If you're on Pacific Avenue, what are the chances you'll reach your goal? Here's an easy project that will show you how to find out. Read more
Divide and Conquer: Proving Pick's Theorem for Lattice Polygons
Science Fair Project Idea
Scientific Method
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
Draw a Spirograph with a Raspberry Pi
Science Fair Project Idea
Scientific Method
Have you ever used a toy like a Spirograph® to draw precise, repeatable patterns on a piece of paper? What if you could use a computer to automatically draw the patterns for you? This project will show you how to do just that using a Raspberry Pi. Check out the video to see what this simple, but fun, project looks like. IMPORTANT: The instructions for this project were originally written using Scratch 2 on a Raspberry Pi 3B+. If you are using a newer Raspberry Pi running Scratch 3, you… Read more
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