The article introduces an explicit way of locating the arc midpoint in the Cartesian plane, which is consistent for both x- and y-coordinates and is technically accessible for students starting as young as fifteen. The authors give the proof of the statement using two trigonometry identities, and discuss some materials for innovative lessons on the arc midpoint computation that could enrich and enhance curriculum.
© Virginia Mathematics and Science Coalition, licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0) (https://creativecommons.org/licenses/by/4.0/)
Akulov, G. V. and Akulov, O. G.
"A Lesson Plan with an Arc Midpoint,"
Journal of Mathematics and Science: Collaborative Explorations: Vol. 13
, Article 16.
Available at: https://scholarscompass.vcu.edu/jmsce_vamsc/vol13/iss1/16