The strange girl is clearly fascinated by the transformation happening in front of her, and seems totally unafraid.
"Okay! So - let's start with derivatives. Luckily, you all already know what a derivative is! You just don't know that you know it, yet, and that's much easier to fix. We'll start with some really basic physics to illustrate that point, complete with a practical example!"
She's momentarily surrounded by a whirlwind of her own hair, and then - has a backpack that a studious observer might realize wasn't there before, from which her hair is retrieving... a laptop and a bouncy ball?
(She hasn't stopped talking while doing any of that: "Fun fact; Isaac Newton was the first human person to formalize the rules of calculus, and he did it because it's basically necessary to do physics in sane or useful ways! If you ever took a physics class that didn't use any calculus, I am so sorry about your horrible schooling experience and hope your teachers and their bosses will find a path to becoming better educators and also people!!")
She turns the laptop screen towards them, hair-strands still typing on the keyboard. There's a graph grid visible! The axes are labeled "distance (bouncy ball, blue girl)" and "time".
"Now, in a second here, I'm going to roll this bouncy ball and then start filling in this graph. Before I do, I'd like you all to visualize what you think this graph will look like. Does that make sense? Feel free to interject with questions if you're confused!"