Fifth Grade, Pure Mathematics Science Experiments (Page 3)

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

Dice Probabilities

Science Fair Project Idea

Scientific Method

You're playing Monopoly with a friend, and you've already got Park Place and you really, really want to get Boardwalk. If you're on Pacific Avenue, what are the chances you'll reach your goal? Here's an easy project that will show you how to find out. 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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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

Is There Such a Thing as Streakiness in Baseball?

Science Fair Project Idea

Scientific Method

Here's a project that will teach you about math as you follow some of your favorite players or teams. You'll be comparing day-to-day performance with long-term averages, and trying to determine if the "streaks" and "slumps" over shorter time periods are due to random chance or something else. When you've finished, you'll have a better understanding of some important concepts in statistical analysis and baseball. If a player goes 0-for-20, does that mean anything? Using probability theory,… 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

The Birthday Paradox

STEM Activity

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Have you ever noticed how sometimes what seems logical turns out to be proved false with a little math? For instance, how many people do you think it would take to survey, on average, to find two people who share the same birthday? Due to probability, sometimes an event is more likely to occur than we believe it to. In this case, if you survey a random group of just 23 people there is actually about a 50–50 chance that two of them will have the same birthday. This is known as the birthday… 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

Fifth Grade, Pure Mathematics Science Experiments (55 results)

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