Ninth Grade, Pure Mathematics Projects, Lessons, Activities (20 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.

Basketball: The Geometry of Banking a Basket

Science Fair Project Idea

Scientific Method

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

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

Bet You Can't Hit Me! The Science of Catapult Statistics

Science Fair Project Idea

Scientific Method

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

How Do Baseball Stadium Dimensions Affect Batting Statistics?

Science Fair Project Idea

Scientific Method

Have you ever wondered how playing in a certain stadium affects how well the athletes perform? Major League Baseball (MLB) is played in ballparks that have their own individual quirks when it comes to the exact layout of the field. How an individual ballpark affects player performance, which is known as ballpark effects, is heavily investigated in the field of baseball. To name just a few parks and their different traits, Fenway Park (the long-time home ballpark for the Boston Red Sox in… Read more

Tiling with Spidrons

Science Fair Project Idea

Scientific Method

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

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

Data Models

Science Fair Project Idea

Scientific Method

Math is used by many different types of scientists to model phenomenon and evaluate data from an experiment. By building mathematical models scientists can understand how different physical, chemical, and biological processes are affected by different variables. The most important tools are: making a graph to give a visual representation of the relationships between your variables and making an equation to give a way of computing the relationships between your variables. Find a source of data,… Read more

Design Your Own 3D Optical Illusions

Lesson Plan Grade: 8th-12th

In this lesson your students will design their own 3D objects that exhibit "anomalous mirror symmetry"—that is, their reflections appear flipped left to right when you put them in front of a mirror. Students will start by defining the outline of a 2D shape using functions. They will then use MATLAB or Python code to convert the 2D shape into a 3D curve that replicates the outline of the 2D shape when viewed from a certain angle. Finally, they will convert the 3D curve into a solid 3D… Read more

Fractals

Science Fair Project Idea

Scientific Method

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… Read more

Is There Such a Thing as Streakiness in Baseball?

Science Fair Project Idea

Scientific Method

Here's a project that will teach you about math as you follow some of your favorite players or teams. You'll be comparing day-to-day performance with long-term averages, and trying to determine if the "streaks" and "slumps" over shorter time periods are due to random chance or something else. When you've finished, you'll have a better understanding of some important concepts in statistical analysis and baseball. If a player goes 0-for-20, does that mean anything? Using probability theory,… Read more

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