Pure Mathematics Science Projects (Page 4)

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

Measuring Up

Science Fair Project Idea

Scientific Method

Measurements are very important for scientists. It is especially important that the measurements be accurate. Think about how important accuracy is when you want to know if you are taller than a friend of yours, every inch counts! In this experiment, you will investigate how different objects can be measured with accuracy. Are small or large objects more difficult to measure? Who in your family is the best at measuring? Maybe it will be you! 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

Topologies

Science Fair Project Idea

Scientific Method

What do knots, maps, mazes, driving directions, and doughnuts have in common? The answer is topology, a branch of mathematics that studies the spatial properties and connections of an object. Topology has sometimes been called rubber-sheet geometry because it does not distinguish between a circle and a square (a circle made out of a rubber band can be stretched into a square) but does distinguish between a circle and a figure eight (you cannot stretch a figure eight into a circle without… Read more

Relationships Between Variables: Using Correlation and Linear Regression

Science Fair Project Idea

Scientific Method

Here's a project that combines sports and math. You'll learn how to use correlation analysis to choose the best team batting statistic for predicting run-scoring ability (Albert, 2003). You'll also learn how to use a spreadsheet to measure correlations between two variables. The project description Which Team Batting Statistic Predicts Run Production Best? provides the details. Read more

Playing Music

Science Fair Project Idea

Scientific Method

Music has many mathematical elements in it: rhythm, pitch, scale, frequency, interval, and ratio. There are many ways to turn these elements into a science fair project. You can investigate how the scale is based upon a special type of number sequence called a Harmonic Series. Another scale used by Bach, called the "Well-Tempered-Scale" or the "Equal-Tempered-Scale", is based upon a series. How are these mathematical series and ratios related to notes, chords, intervals, and octaves? You can… Read more

Money Problems

Science Fair Project Idea

Scientific Method

Math can make you money! If you understand some basic math, you can make good decisions about how to keep, spend, and use your hard earned dollars. Try an experiment comparing the same balance in different types of bank accounts. How much better is a savings account than a checking account? What difference does the interest rate make? Which is better, an account that earns compound or simple interest? Can you compare the short and long term costs of borrowing money compared to saving the cash… Read more

Magic Squares

Science Fair Project Idea

Scientific Method

A magic square is an arrangement of numbers from 1 to n2 in an n x n matrix. In a magic square each number occurs exactly once such that the sum of the entries of any row, column, or main diagonal is the same. You can make several magic squares and investigate the different properties of the square. Can you make an algorithm for constructing a Magic Square? Can you show that the sum of the entries of any row, column, or main diagonal must be n(n2+1)/2? Are there any other hidden properties of a… Read more

Scale Models

Science Fair Project Idea

Scientific Method

Many industries rely on scale models to develop new products and designs. Architects, industrial designers, artists, clothing designers, and car manufacturers all use scale models. Each model is built to a scale that relates the actual object to the model through a ratio. Can you determine a formula for constructing a scale model? You can use your formula to make a model of your house, school, neighborhood, or town (CUBE, 2002). You can make scale models of the Wright Brothers aircraft… Read more

Frequency Histograms

Science Fair Project Idea

Scientific Method

Can you remember what the weather was like last week? Last year? Here's a project that looks at what the weather was like for over a hundred years. You'll use historical climate data to look at moisture conditions in regions across the continental U.S. You'll use a spreadsheet program to calculate the frequency of different moisture conditions for each region and make graphs for comparison. Which part of the country has the most frequent droughts? The most frequent periods of prolonged… Read more

Pure Mathematics Science Projects (43 results)

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