Intrinsic and extrinsic motivations are well established terms in the literature on the psychology of motivation, primarily from a set of theories called Self-Determination Theory, which was developed by Edward Deci and Richard Ryan at the University of Rochester.
School grades are cited, for example, as a form of extrinsic recognition if students see them as a reflection of their ability yet they fall in the intrinsic bucket of motivation if they are seen as what is accomplished in class.