A bicycle trainer provides variable resistance to pedaling and allows for a rider to simulate a real-world bicycle course. The trainer engages both the front tire and the back tire of the bicycle and adjusts each according to the rider's preferences during a training session. The front tire lifts up and down as the bicycle moves forward and backward on the trainer. The back tire is adjusted by incorporating magnets thereon in the form of magnetic elements on a sleeve or a clip that engages the back tire and/or the back tire rim. The magnets on the back tire may also be attached to the spokes. The trainer includes magnets as well, usually of opposite polarity, and adds resistance to pedaling when the magnetic fields of the magnets interact to resist back tire revolution.