The literature on interdisciplinary teaching has tended to stress undergraduate teaching. As interdisciplinary graduate teaching becomes increasingly common, we need to reflect on what graduate students need to know. This article discusses key ideas that all interdisciplinary graduate programs should communicate. In particular, we need to teach graduate students how to do interdisciplinary research. Students should also be prepared for interdisciplinary careers. Since there has been relatively little written about interdisciplinary graduate education, this article is necessarily exploratory, and intended to encourage a conversation.