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Middle School (6-8)

Geometry to the Rescue: A Story in Pictures

Our kitchen floor was in need of something (repair, replacement, rejuvenation?). This being the do-it-yourself age, we took ourselves to the nearest big box home store, and picked out a lovely laminate flooring in a pattern that looks like tile. The ads and the instructions all make it sound like a pretty simple project. We brought it home and set to work. Immediately, we ran into a problem (Fig. 1). Our breakfast nook is in an octagonal shape. This means no matter which wall we started on, we immediately had to tackle an angle cut.

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Dr. Smith vs. The Lawyer

A lawyer's use of some very simple science and math. The facts are true, although simplified; the company names have been changed.

Acme Enameling Company operated a cast-iron foundry and enameling plant, where it made bathtubs and sinks for twenty-seven years. It dumped factory wastes on vacant property behind the plant. Zenith Construction Company then bought the property and used it as a construction waste landfill.

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Cross Section and Slope

I introduce the concept of contour plots in the PUMAS example called Contouring and Topo Maps. Contouring is a fun way to help students develop estimation and spatial visualization skills. With contouring you imagine yourself looking down at a landscape and trying to represent hills and valleys on a flat map. The next step is to try to visualize what you see if you take a vertical slice, a cross section, out of your landscape.

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Coastal Threat: A Story In Unit Conversions

On February 4, 1999, the 639-foot freighter New Carissa became grounded near Coos Bay on the Oregon coast. Aboard the ship were 400,000 gallons of bunker fuel, threatening to leak from the fractured hull and damage the state's fragile beach habitats. With an approaching storm increasing the chances of a disastrous spill, authorities decided to set the ship afire, a choice not without controversy and risks of its own. An oceanographer friend and I became curious about the extent of the disaster associated with the potential spill.

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Automatic Windshield Wipers

A caller on an automotive-themed radio program asked for help with a problem. It seems that when it rained her windshield wipers sometimes turned themselves on. How is this possible?

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Algebra Magic - Create Your Own Number Puzzles

Many people think of algebra as dealing with solving equations that have letters and numbers, and that it is completely unrelated to anything outside the math classroom. Also, teachers have a difficult time motivating students to learn algebra. I have found that not only are number/magic puzzles quite common outside the classroom, but also that they motivate students, and that teachers can successfully use such number puzzles as an interesting lead-in to algebra. Here I discuss two number/magic puzzles that can be demystified and explained by using algebra.

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