@DrTCombs My wife says, "I would do the derivation of e. There's a really cute derivation of e... actually multiple cute derivations of e.
Maybe also derive the pythagorean theorem? There's a geometric proof. If they haven't seen pi by then, they should be introduced to it. They wouldn't understand it fully, but I would show them a youtube video of the harmonics of the riemann zeta function. It's so amazing to see. OOH nonlinear dynamics the butterfly oscillator!"
(And then I cut her off.)
@Iragersh @Andres4NY I need to meet your wife.
also, the pythagorean theorem would be FUN!
(the lucky person who gets to work with these kids will be my mom, a retired high school math teacher, so this is well within her wheel house)