Examples of parametric curves, created by single pairs of non-piecewise parametric equations. I developed this process for creating such curves (or at least if someone else beat me to it, I'm unaware). My process utilizes and reinforces high school level Math skills (domain/range, function transformations, function addition, function composition, writing sinusoid equations, parametric equations). Inspired by the "Batman Equation" of 2011 and Wolfram Alpha's "person curves."
How-to article in NCTM's Mathematics Teacher: Learning and Teaching magazine, June 2020.
[url]https://www.nctm.org/Publications/Mathematics-Teacher_-Learning-and-Teaching-PK-12/[/url]
Instructional how-to video:[list]
[*]As a playlist of 11 short videos [url]https://www.youtube.com/playlist?list=PLF00YM04eoPeCCN0EiAmgg3M5P3PH2guI[/url]
[*]As the original 68-min long single video [url]https://youtu.be/oaIsCJw0QG8[/url]
[/list]
