The construct of moral injury is usually utilized to understand cases in which individuals perform or witness actions they consider morally wrong. In this paper, we suggest the construct of "moral trap", which entails circumstances in which teachers face pressure to act but are unable to simultaneously meet the demands of care, justice, and truthfulness because of "systemic conditions." Using grounded theory, we present the analysis of ten semi-structured interviews with teachers from four U.S. states. We found three different types of entrapment: teachers attempting to enact and/or advocate for social justice, attempting to care for their families, and attempting to care for their professional identities. Implications for teacher education include a need to prepare teachers for navigating multiple moral demands and for coordinating with other teachers to advocate for social change. Implications for policy include a need to provide greater wrap-around supports for educational equity.