Can you find a way to turn a rectangle into a square?

It would be nice to have a strategy for disentangling any tangled ropes...

Can you find the hidden factors which multiply together to produce each quadratic expression?

A function pyramid is a structure where each entry in the pyramid is determined by the two entries below it. Can you figure out how the pyramid is generated?

Can you match the charts of these functions to the charts of their integrals?