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Pure Mathematics Projects, Lessons, Activities (56 results)

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Shape Science: Play-Doh Math
STEM Activity
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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 activity, you will find out by investigating how 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
Solving Logic Problems
Science Fair Project Idea
Scientific Method
You may know Lewis Carroll as the author of Alice in Wonderland, but did you know that in real life he was a mathematician who studied symbolic logic and logical reasoning? How can math help you solve Lewis Carroll's Logic Game? (Bogomolny, 2006) How are algorithms for solving the game Sudoku similar to solving a logic problem? (Hayes, 2006) For the super-advanced mathematical genius, try to evaluate currently available, logic-based computational tools, or design a better one!… Read more
The Effects of Card Counting on a Simple Card Game
Science Fair Project Idea
Scientific Method
Do you like to play cards? Here's a project that will get you thinking about strategy in card games and help you become a better card player. Read more
Throwing You Some Curves: Is Red or Blue Longer?
Science Fair Project Idea
Scientific Method
This a straightforward, but interesting, project in geometry. It is a good first proof to try on your own. You should be able to figure it out by yourself, and you'll gain insight into a basic property of circles. Figure 1 below shows a semicircle (AE, in red) with a series of smaller semicircles (AB, BC, CD, DE, in blue) constructed inside it. As you can see, the sum of the diameters of the four smaller semicircles is equal to the diameter of the large semicircle. The area of the larger… 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
What Makes a Team's Winning Percentage Deviate from the Pythagorean Relationship?
Science Fair Project Idea
Scientific Method
What makes a winning team? Getting all the best players? Good coaches? Good chemistry? This project will show you how you can use math to help you test your hypothesis about what makes a winning team. The Pythagorean relationship is a fundamental one in sports: it correctly predicts the records of 98% of all teams. But in 2% of cases, it fails. Why does it fail? Find teams that deviated substantially from their expected Pythagorean record (this information is available for baseball teams… Read more
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