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 Origamiinspired Proof of the Pythagorean Theorem
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 Conceptual Solution to 2008 AIME I, Problem 14
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Tag Archives: geometry
Origamiinspired Proof of the Pythagorean Theorem
While working with math teachers Richard Chang and Randi Currier of the Buckingham Browne & Nichols Middle School to come up with problems that use polynomials and rational expressions, we stumbled upon an origamiinspired proof of the Pythagorean theorem that I’d like to … Continue reading
Posted in math, Math Education
Tagged geometry, origami, Pythagorean theorem, rational expressions
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Conceptual Solution to 2008 AIME I, Problem 14
Here’s a solution to problem 14 on the 2008 AIME I contest that attempts to avoid computation as much as possible. Sometimes, it’s an amusing exercise to try to solve a contest problem entirely in your head. Doing so often forces … Continue reading
Posted in Contest Math, math
Tagged AIME, circles, ellipse, geometry, optimization, tangent
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Snowball Problems Melted
The snow from the record setting snowfalls in Boston are pretty much gone, so here are solutions to the two snowball problems from the February. Solution to Snowball Problem #1. We claim that every point in space on the side … Continue reading
We’ve Got Snowball Problems
Current weather in New England makes it hard to not think about snow. So here are two snowball inspired math problems. We welcome your solutions (send to girlsangle “at” gmail.com). Perhaps we’ll post solutions when the last traces of snow have … Continue reading
Cubes in onepoint perspective
This post is a reply to Jamie’s comment on Drawn to Math: Would anyone know how to construct a cube in one point perspective? This is an excellent question because it isolates an important, simplified situation that enables one to study key aspects of … Continue reading
Posted in applied math, math
Tagged cubes, geometry, onepoint perspective, perspective drawing, similarity
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Girls’ Angle Bulletin, Volume 7, Number 4
The electronic version of the latest issue of the Girls’ Angle Bulletin is now available on our website. The cover features a planar configuration by Leah Berman, associate professor of mathematics at the University of Alaska Fairbanks. There are 240 … Continue reading
Posted in math, Math Education
Tagged angle, configurations, geometry, Leah Berman, Marie Vitulli, Nadine Alise, Pythagorean triples, Quintetra, rhombic triacontahedron, Thomas Moore, x to the x
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Girls’ Angle Bulletin, Volume 7, Number 2
The electronic version of the latest issue of the Girls’ Angle Bulletin is now available on our website. In Bisection Envelopes, a paper to appear in the journal Involve, Noah FechtorPradines proves many interesting properties of the envelope of the set of … Continue reading