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My five year old asked me what calculus is.
(pixelfed.crimedad.work)
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This is an excellent illustration imo. I would say the most essential concepts to wrap ones head around are rate of change and fundamental quantities. From there you can get to the relationships between position, velocity, acceleration and use these an analogy going forward. Awesome parenting by the way!
Thank you. It's a tough question to answer for her because, in comparison, the problems solved by addition, subtraction, and multiplication (into which she is only just dipping her toe) are mostly obvious to her. I'm having a hard time thinking of the obvious problems that calculus solves.