Newton's Law of Cooling is what's used to calculate time of death, when they find a still-warm body. It's calculus!

So I wrote a lesson plan that has the students play the role of forensic investigator, arriving at a crime scene at the Muppet Theater. There are several bodies, and they're given the temperature of each, and of the rooms in which the bodies are found. There are also statements from several witnesses, of overheard arguments and shouting, and one person storming out in a rage.

They have to calculate time of death for each of the bodies, then combine that with the witness statements to try to figure out what happened.