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Dan Meyer used to do "Three-Act Math Tasks" where he would start with a short video (followed by math questions, etc). Maybe you can re-purpose these videos for a calculus audience.


For Calc II, there is a great scene from the movie Holes. A slightly shorter shovel is preferred, because you can dig a slightly smaller hole. How much smaller? (The movie is great.)


Not quite "animated", but still very nice: James Tanton Youtube He starts with a kind of problem, sometimes applied, but often just non-standard, and then shows mathematician viewpoint on problem solution. You may start discovering with his "Why I became mathematician" https:/...


This data from Wistia supports several of the comments: This chart is not specialized to mathematics. Likely the attention-span constraints are pretty much universal, independent of content (but not independent of interactivity).

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