I am reading a really cool book that teaches you an intuitive approach to calculus, and one of the exercises in it asks you to describe a concept in a “grandma-friendly way”, so here’s how I’d put it! I am going to try and use different analogies, rather than the ones from the book.
Let’s try to derive the area of a circle.
Calculus is like kaleidoscope; when you first look into it, you see a certain kind of pattern, but after you shake it and look into it again, you see a different kind of pattern.
It’s about a pattern rearranging itself into a different pattern.