bio is a non-inverted off axis spin where your head faces the landing and your skis point towards the jump. its the opposite of a cork which is where your skis face the landing and you look back at the jump.
a misty is pretty much an inverted bio. ie. your legs go over your head so it becomes kind of like an off axis front flip and spin at the same time.
a rodeo is a full inversion and a full spin at the same time. think of a rodeo 5 as a lincoln 180 but thrown backwards more than sideways. if you're looking at a clock face with the skier in the middle the rodeo axis is where the skis face about the 10-11 o'clock position.