We provide a general framework for studying the expansion of strongly minimal sets by adding additional relations in the style of Hrushovski. We introduce a notion of separation of quantifiers which is a condition on the class of expansions of finitely generated models for the expanded theory to have a countable $\omega$-saturated model. We apply these results to construct for each sufficiently fast growing finite-to-one function $\mu$ from 'primitive extensions' to the natural numbers a theory T$^\mu$ of an expansion of an algebraically closed field which has Morley rank 2. Finally, we show that if $\mu$ is not finite-to-one the theory may not be $\omega$-stable.