Calculus (intro)
Where calculus shows up in real life
3 live exhibits. Each one already works. Change a number and see what happens.
Open as board Play with these together. Solving one grows related exhibits.
Calculus (intro)Speed from a position graph: the derivative
The steepness of a position graph is the speed. Shrink a secant line down to a tangent, and you have the derivative.
Calculus (intro)Distance from a speed graph: area under the curve
Speed times time is distance, one thin rectangle at a time. Add more rectangles and the total closes in on the exact area: the integral.
Calculus (intro)The biggest box from a sheet of cardboard: optimization
Cut a square from each corner and fold up the sides. Too small a cut makes a flat tray, too big a skinny tower. The derivative finds the best cut.