2019 NCTM Regional Meeting
The SSS Theorem: Don’t Assume It, Prove It!
SSS is traditionally a postulate. By following CCSS and defining congruence via transformations, we can prove it. We’ll use Web Sketchpad tools to superpose one triangle on another, and capture the construction steps to create a proof of SSS. This and related lessons are freely available here: https://geometricfunctions.orgfc/present/pctm2019
Constructive Proofs: Use Web Sketchpad to Prove SSS and More
Experience proving triangle congruence using a transformation approach. Using Web Sketchpad (WSP) technology, you’ll construct transformations that superpose one triangle on another. With WSP’s ability to capture your construction steps, the proof of the SSS Theorem is “transformed”! Bring a laptop or tablet to try free, classroom-ready lessons.
Not So Complex: A Geometric Approach to Complex Numbers from Addition through Euler’s Formula (April 2019)
Take your understanding of complex numbers to a new level using the dynamic visualization capabilities of Web Sketchpad. We’ll gain mathematical insights into complex number arithmetic, de Moivre’s theorem, and Euler’s formula through applying a geometric transformations approach to these topics.
This web site is based in part upon work supported by the National Science Foundation under NCSU IUSE award 1712280 (July 2017 through December 2020) and KCP Technologies DRK-12 award ID 0918733 (September 2009 through August 2013). Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.
We are deeply grateful to McGraw-Hill Education
for making Web Sketchpad available for these lessons.
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