Pure Mathematics Projects, Lessons, Activities (Page 3)

Statistical Science: M&M Math

STEM Activity

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20 reviews

Have you ever wondered weather the outcome of a certain activity is predictable? For example, if you’re randomly picking a chocolate out of a box of mixed chocolates, can you predict how likely it is that you’d end up with a specific type of chocolate, such as a caramel-filled chocolate? To investigate this tasty topic, in this activity you’ll determine the frequency of different colored M&M’s in a package of M&M candies. M&M’s are… Read more

What Are the Chances?

STEM Activity

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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

Balancing Challenges

STEM Activity

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9 reviews

Did you ever come across a challenge that looked almost too straightforward to try, but turned out to be shockingly tricky, if not impossible? This activity challenges you in a fun way. Something as simple as picking up a piece of candy can be way harder than it looks. Find out why some movements are harder than you’d expect, then trick your friends into trying them. Astonish them with your stunning knowledge of the laws of physics; and most of all, have fun! Read more

Chain Reaction: Inversion and the Pappus Chain Theorem

Science Fair Project Idea

Scientific Method

Here is a challenging problem for anyone with an interest in geometry. This project requires background research to solve it, but it is an excellent illustration of visual thinking in mathematics. Figure 1 below shows a series of circles (iC₁, iC₂, iC₃, ..., iC₃₀), inscribed inside an arbelos. What is an arbelos? The arbelos is the white region in the figure, bounded by three semicircles. The diameters of the three semicircles are all on the same line segment, AC,… Read more

Circular Reasoning: Finding Pi

STEM Activity

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Mathematicians look at the world around them in terms of numbers and formulas, and now, you can discover the formula for Pi too! In this science activity you will examine circular objects and see what you can discover about their sizes. As you explore, you might be surprised at how useful the results can be—maybe it will inspire you to save up for a bike with bigger wheels! Read more

Geometry of Goal-Scoring

Science Fair Project Idea

Scientific Method

Block off one-third of a soccer net with a cone, 5-gallon bucket or some other suitable object. Shoot into the smaller side from a set distance, but systematically varying the angle to the goal line. Take enough shots at each angle to get a reliable sample. How does success vary with angle? 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… Read more

Half-Life with Coins

STEM Activity

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21 reviews

You may have read about nuclear disasters at sites like Chernobyl, Three Mile Island and Fukushima in the news or in a history lesson. Disasters like these can take years or even decades to clean up, and make it unsafe for humans to live nearby for even longer. Why does the contamination last so long? In this (perfectly safe!) activity, you will learn about radioactive decay using coins. Read more

Juice Box Geometry

Science Fair Project Idea

Scientific Method

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. 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

Playing Games

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

Pure Mathematics Projects, Lessons, Activities (56 results)

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