Quasiminimal classes form an abstract analogue of strongly minimal theories.  Following what can be done in the strongly minimal case, we consider two expansions of quasiminimal classes with a unary predicate:  beautiful pairs and H-structures.  We show each of these expansions can be axiomatized with a single Lω1ω (Q)-sentence and that both expansions are ω-stable. We will explain why these expansions are natural in the strongly minimal context and how to extrapolate some results to the new setting.  Conversely, we show how to produce new examples of quasiminimal classes using beautiful pairs.

This is joint work with E. Vassiliev.