He spreads his wings, marveling for a moment as to how they're like the wings of a bat, and pushes off as well. It's easy enough to gain height, climbing in the air and wheeling around. It's different than when he looks for updrafts as a hawk - no amount of warm air will be enough to keep him aloft, only his own power.

He turns again, and flies near to Paarthurnax, staying below him and slightly behind. He's the teacher here, after all.