The Lost Math Lessons

As a high school math teacher, I often run across or develop math ideas that are not taught in a typical math curriculum. Here are some of those ideas.

Tuesday, February 8, 2022

Epicycloids and Hypocycloids

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In the book  Trigonometric Delights by Eli Maor, there is a chapter on epicycloids and hypocycloids and their many fascinating properties. ...
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Thursday, February 3, 2022

Proving Common Trig Identities with Circle Theorems

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I just re-read Trigonometric Delights by Eli Maor, and in the middle of his historical account of mathematics, he gives creative proofs for...
Tuesday, May 19, 2020

Circles of Apollonius of a Triangle

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Let’s investigate all triangles in which one side length is twice another side length and the third side length is a constant length of 9. S...
Monday, February 18, 2019

Perspective, Silhouettes, and Taxi-Cab Geometry

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In a drawing with one-point perspective, all lines perpendicular to the picture plane converge to a single point on the horizon called the v...
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Thursday, January 18, 2018

Automorphic Numbers

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While learning your multiplication tables, you may have noticed a peculiar property that some numbers, when multiplied by itself, ends in t...
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David Vreken
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