Amidst increasing religious disaffiliation, often due to a perceived tension between faith and the STEM disciplines, Catholic schools provide critical opportunities for young people to recognize how these domains can be mutually elevating. The field, however, lacks guidance as to how this integration should occur in practice. This conceptual paper first provides an overarching framework for how aspects of the Catholic tradition, like Scripture and the Catholic social tradition, can shape traditional educational domains of STEM teaching and learning. Secondly, we provide a heuristic of three criteria for deeply engaging students at the interface of the Catholic faith and the STEM disciplines. Finally, we narrow in on K-12 science standards and provide six examples of how the three criteria can be applied to authentically and deeply advance understanding at the intersection of science and the Catholic faith.