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M9.4.7

Understands that mathematics provides a precise system to describe objects, events, and relationships and to construct logical arguments.

Proving the Pythagorean Theorem

A guided classroom exercise that contributes to the long-term development of creative thinking and analysis.

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Battle Strategies in the Bismarck Sea

Opposing naval commanders in a war must choose how to attack and defend rncritical areas.

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Motivating Honest Budgets and Hard Work Simultaneously

Motivating honest budgets and profit expectations is difficult because some rnsubordinate managers will provide overly optimistic budgets to "look good" to rntheir bosses, while others will lowball budgets so they will "look good" when they rnexceed expectations. This paper explains how to motivate accurate forecasts of rnbudgets and profits.

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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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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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Can an Astronaut on Mars distinguish the Earth from its Moon?

Some day an astronaut will stand on Mars and look back at Earth. As Alfred, Lord Tennyson wrote Venus, Hesper, Were we native to that splendour or in Mars We would see the globe we groan in, fairest of their evening stars Could we dream of wars and carnage, craft and madness lust and spite Roaring London, raving Paris, in that peaceful point of light? Would we not, when gazing heavenward, at a star so silver-fair Yearn, and clasp the hands, and murmur: Would to God that we were there? But what exactly will one see from Mars?

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