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Pure Mathematics Projects, Lessons, Activities (56 results)

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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
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
Science Fair Project Idea
Scientific Method
How do you turn a 2-dimensional piece of paper into a 3-dimensional 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 3-dimensional 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… Read more
STEM Activity
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Have you ever been playing cards and wished you could use psychic powers to draw the card you wanted? You may not be psychic, but you can still have the power of probability on your side. In this activity you'll investigate the probabilities of drawing specific types of cards from a deck. You'll discover how math can help you avoid the dreaded phrase, "Go fish!" Read more
Science Fair Project Idea
Scientific Method
Have you ever had fun making different figures or colorful creations using some Play-Doh? You can squish and stretch a single piece of Play-Doh® to make all sorts of shapes. How does changing the shape of a piece of Play-Doh affect its volume? In this science project, you will find out by testing how changing a piece of dough's shape affects its dimensions (length, width, and height), and how these changes are related to the dough's volume. Read more
Science Fair Project Idea
Scientific Method
Almost all of the games we play are based on math in some way or another. Card games, board games, and computer games are designed using statistics, probabilities, and algorithms. Begin by reading about games and game theory. Then you can choose your favorite game and investigate the mathematical principles behind how it works. Can combinatorial game theory help you to win two-player games of perfect knowledge such as go, chess, or checkers? (Weisstein, 2006; Watkins, 2004) In a multi-player… Read more
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
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
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
Science Fair Project Idea
Scientific Method
In this project, you will make 2-dimensional templates, called nets, that fold up into 3-dimensional (3-D) shapes. By making shapes of different sizes, you will be able to see how 3-D shapes change with size. Which property (or aspect) will change the most: the length of an edge, the surface area, or the volume? Read more
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Free science fair projects.