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Pure Mathematics Project Ideas

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  Difficulty Level 1-4  

Pick a Card, Any Card

No matter what your favorite card game is, we all wish we could use psychic powers to draw the card we want on our turn. You may not have psychic powers, but you might have the power of probability on your side. Do this experiment and discover how math can help you avoid the words, "Go fish!"   Read more...
Difficulty =   1      Add to favorites     Show others like this

Play-Doh Math

One piece of Play-Doh can make many different shapes. Even though you can change the shape by squishing or stretching the Play-Doh, it is still the same size unless you add or take away some of the dough. Try this experiment to test how these changes in size and shape occur in each dimension.   Read more...
Difficulty =   1      Add to favorites     Show others like this

Shape Changing with the CyberSquad Science Fair Project with Video

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...
Difficulty =   1  –  2      Add to favorites     Show others like this

Juice Box Geometry

Juice boxes are so convenient, just poke the straw in and sip away! 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. Find out how different brands of juice measure up.   Read more...
Difficulty =   1      Add to favorites     Show others like this

Estimation and Population Size

Have you ever wanted to take a short cut? How about when doing your math homework? In this experiment you can learn how estimation can save you time doing math calculations. But beware, some estimations are better than others! Can you match this sample size with the best population? How accurate are your estimation skills?   Read more...
Difficulty =   2      Add to favorites     Show others like this

Measuring Up

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...
Difficulty =   2      Add to favorites     Show others like this

M&M Math

It has been said that, "Life is like a box of chocolates—you never know what you're going to get." (Forrest Gump in Forrest Gump, 1994.) In this experiment you can test the "Forrest Gump Chaos Theory" by using M&M's, which are much cheaper than a box of chocolates. What if life is more like a bag of M&M's? Find out in this experiment if some things in life are predictable by using the awesome power of statistics.   Read more...
Difficulty =   3      Add to favorites     Show others like this

M&M Geometry

Have your parents ever found you munching on candy and asked you, "How much candy did you eat?" Instead of saying, "I don't know?" and getting in trouble, wouldn't you rather say, "I ate precisely 10.7 cubic milliliters of candy mom." Make your parents proud of their candy-eating genius child (you) with this simple experiment.   Read more...
Difficulty =   3      Add to favorites     Show others like this

Scale Models *

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...   Read more...
Difficulty =   4      Add to favorites     Show others like this

Frequency of Outcomes in a Small Number of Trials

People often draw conclusions from a small number of observations, but how easy is it to draw the wrong conclusion? Here is a simple project that shows the importance of making enough observations before making a prediction.   Read more...
Difficulty =   4      Add to favorites     Show others like this



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Index of Pure Mathematics Project Ideas
Pick a Card, Any Card | Play-Doh Math | Shape Changing with the CyberSquad | Juice Box Geometry | Estimation and Population Size | Measuring Up | M&M Math | M&M Geometry | Scale Models | Frequency of Outcomes in a Small Number of Trials | The Birthday Paradox | Money Problems | Gigantic, Invisible Triangles: Measuring Height (or Altitude) with an Inclinometer | Dice Probabilities | Divide and Conquer: Proving Pick's Theorem for Lattice Polygons | Throwing You Some Curves: Is Red or Blue Longer? | Around the World: The Geometry of Shooting Baskets | Geometry of Goal-Scoring | Frequency Histograms | Playing Games | Thinking in (Semi-)Circles: The Area of the Arbelos | Topologies | Playing Music | Solving Logic Problems | Magic Squares | Making Patterns with Rubik's Cube | The Effects of Card Counting on a Simple Card Game | Tiling with Spidrons | Statistical Significance: Using a t-Test | Relationships Between Variables: Using Correlation and Linear Regression | Data Models | Fractals | Origami | How do Baseball Stadium Dimensions Affect Batting Statistics? | Is There Such a Thing as Streakiness in Baseball? | What Makes a Team's Winning Percentage Deviate from the Pythagorean Relationship? | Taking Off on a Tangent | Devising an Algorithm for Solving Rubik's Cube | Exploring Fractals | Chain Reaction: Inversion and the Pappus Chain Theorem |