When studying the impact of interactive narratives, especially in high impact, sensitive domains such as education and health, it is important that the narrative design as a whole is reported in sufficient detail to allow for analysis and replication. However, the design of interactive narrative applications is often insufficiently documented and reported, despite being a central component and, often, a focus of study. This is due, in part, to a lack of a common lexicon that allows designers and practitioners to describe and compare their designs. This paper examines interaction design in interactive narrative games, specifically structure and progression mechanics, from the perspective of establishing common ground between designer and player. Using the interaction model for interactive narratives to guide our analysis, we found patterns of structure and narrative progression mechanics that offer insight into commercial design practices, which can inform and guide interaction design choices for narrative games.