Desmos and the Diagonal

This morning I ran across an entertaining tweet from someone with a sweet first name:

Took an old rectangle/diagonal problem and made an interactive on Desmos https://t.co/P0ZdpSAvSI #mathchat

— Mike (@mikekaechele) October 8, 2014

I was reminded of Dan Meyer’s treatment of this problem, and began wondering about adding shading to Mike’s work in Desmos. In between meetings today at school I tinkered a bit, and discovered a totally-inefficient, but still-effective way of getting it done.

Here’s a glimpse of what I ended up with…

…and a link to my graph in Desmos.

Show Off

Of course, @Desmos went about it in a much more intelligent way… But I’d venture that I derived more joy from finishing my long way round.

P.S. This is my first blog post since June 5. I hope to sit down soon to write about the reasons for my time away. Needless to say, the gap between posts has been far too long. But life and work have their demands, and sleep is nice at times, too.