The purpose of this paper is to examine the complex relationships between educational policy and classroom practice. By employing a sociocultural perspective, we examine formulations inscribed in socio-material artifacts about what students should learn and how they should engage with knowledge. We explore how these formulations are mobilized in instructional work and the implications this activity has for student participation. To address this issue, we analyzed video data of how teachers invoke competence aims from the national curriculum in their instructional work in six classrooms. The analytical procedures were derived from interaction analysis. The analysis focuses on how such formulations explicitly mediate social interaction as it unfolds on a micro level. The findings show that competence aims gain different functions as they are mobilized in classroom practice; in other words, they serve different purposes in teachers’ instructional work and anticipate different modes of student participation. In this study, the competence aims were (a) invoked as a source of authority, (b) translated into instructions, and (c) mobilized to obtain social order in the classroom. More rarely, the competence aims were used in meta-level discussions, where they functioned to reach agreements on how to pursue work toward joint goals. We discuss the implications of these ways of invoking competence aims for student participation.