Any free-particle wavepacket solution of Schrodinger's equation can be converted by differentiations to wavepackets rotating about the original direction of motion. The angular momentum component along the motion associated with this rotation is an integral multiple of [h-bar]. It is an "intrinsic" angular momentum: independent of origin and unchanged by Galilean boosts along the quantization direction. An example is given based on the three-dimensional Gaussian wavepacket, suitable for presentation to an undergraduate class on quantum mechanics.