Continuity of care is a core value of patients and primary care physicians, yet in graduate medical education (GME), creating effective clinical teaching environments that emphasize continuity poses challenges. In this Perspective, the authors review three dimensions of continuity for patient care-informational, longitudinal, and interpersonal-and propose analogous dimensions describing continuity for learning that address both residents learning from patient care and supervisors and interprofessional team members supporting residents' competency development. The authors review primary care GME reform efforts through the lens of continuity, including the growing body of evidence that highlights the importance of longitudinal continuity between learners and supervisors for making competency judgments. The authors consider the challenges that primary care residency programs face in the wake of practice transformation to patient-centered medical home models and make recommendations to maximize the opportunity that these practice models provide. First, educators, researchers, and policy makers must be more precise with terms describing various dimensions of continuity. Second, research should prioritize developing assessments that enable the study of the impact of interpersonal continuity on clinical outcomes for patients and learning outcomes for residents. Third, residency programs should establish program structures that provide informational and longitudinal continuity to enable the development of interpersonal continuity for care and learning. Fourth, these educational models and continuity assessments should extend to the level of the interprofessional team. Fifth, policy leaders should develop a meaningful recognition process that rewards academic practices for training the primary care workforce.