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Calendar and Solutions – June 2012

A set of problems of many types, with solutions. Games and puzzles are the theme for this month.

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Optimization: Old Dogs and New Tasks

An optimization problem from a calculus class can be made accessible to algebra and prealgebra students. Are you smarter than a Welsh corgi?

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Media Clips: Mosquitoes; Pythagorean Baseball

Students analyze items from the media to answer mathematical questions related to the article. This month's clips examine why raindrops do not crush mosquitoes and feature an application of the Pythagorean theorem to baseball. The mathematics involved includes dimensional analysis, ratio and proportion, and the Pythagorean theorem.

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Readers comment on published articles or offer their own mathematical ideas.

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Media Clips: The Burglar in the Suitcase – Climate History in an Ice Core

Students analyze items from the media to answer mathematical questions related to the article. The first clip this month uses dimensional analysis and problem solving; the second involves fitting a sinusoid to global warming data.

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Core Conversations with Educative Dragging

The Measure-Trace-Algebratize (MTA) approach allows students to uncover algebraic relationships within familiar geometric objects.

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Fostering Spatial vs. Metric Understanding in Geometry

More emphasis on spatial reasoning is a way to increase meaning when students study geometry.

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Mathematical Lens: A Mathematical Pyramid Scheme

Students analyze a photograph to solve mathematical questions related to the images captured in the photograph. This month, the photographs are of a pyramid in Egypt, and students are asked to compute volume, slant height, and the ratio of the base of the pyramid to its height.

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Triangles with Integer Dimensions

Can you find a triangle in which the three bases and three heights are integer values?