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High School (9-12)

Confidence in Medical Tests

Medical tests are not always correct. When a doctor and a patient receive the rnresults of a test, what is the probability that the report is correct?

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Measuring the Earth

How to measure the Earth's diameter with a meter stick, a stopwatch, and some math.

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Finding All Solutions to a Puzzle

The non-zero digits can be organized into a 3-by-3 array such that each row, rneach column, and each diagonal adds up to the same total. How many solutions rnare there? Find and describe them.

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How Big Is the Earth?

In collaboration with another school north or south of yours, rnuse the method of Eratoshenes to determine the circumference rnof the Earth.

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Why Tailgating on Freeways is Unsafe: A Real-life Example Using Quadratic Equations

We discuss how to compute the stopping distance of a car traveling at a given speed-- a real life application of a math topic, quadratic equations, and science topics, such as motion, kinetic energy, and work done. We also discuss the idea that while mathematics can be utilized to model real life situations, there is much more to consider, if one wants more refined and appropriate solutions to real life problems.

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Estimating Planar Areas Using Analogue Methods

A method to estimate planar areas for simple or complex shapes is described. The method relies on the use of weighing the area of interest and using proportional constructs.

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Why Is There a Tidal Bulge Opposite the Moon?

Demonstrate and calculate the reasons for tidal bulges of water on both hemispheres of Earth, due to the Moon.

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Studies of a Population of Stars: Mapping the Positions of Stars

Make observations and use available data and simple calculations to correlate observations and data in the characterization of stars. In this activity, students can discover that the positions of stars in the sky illuminates information about the Milky Way galaxy.

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Studies of a Population of Stars: How Bright Are the Stars, Really?

Make observations and use available data and simple calculations to correlate observations and data in the characterization of stars. In this activity, the distances to bright stars are calculated. The apparent brightness of these stars is then adjusted for distance to see which stars are intrinsically bright and which only appear bright because of their proximity to Earth.

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Studies of a Population of Stars: Distances and Motions

Make observations and use available data and simple calculations to correlate observations and data in the characterization of stars. In this activity, the distances of bright stars are calculated and their motions, in the plane of the sky and in three dimensions are illuminated.

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