Early calculus in 60 seconds: Consider a car with a speedometer that says how fast are moving and an odometer that says how far have gone. Given the data from

Early calculus in 60 seconds: Consider a car with a speedometer that says how fast are moving and an odometer that says how far have gone. Given the data from the odometer can find what the speedometer values were. That is the first half of calculus, differentiation. And given the data from the speedometer, can find what the odometer values were. That is the second half of calculus, integration. If start with the odometer values, differentiate and get the speedometer values and integrate those values, then will get back the odometer values -- that is the fundamental theorem of calculus. Differentiation is related to subtraction, and integration is related to addition. Might be able to teach that to kids in the fourth grade.