This paper brings together general principles for teaching inquiry across disciplines with those generally employed in mathematics classrooms. It describes some broad principles of teaching inquiry to first-year writing students and shows how these can be employed in the context of a course on game theory in popular culture. Although undergraduate mathematics may seem miles away from undergraduate writing, especially in first-year courses, we show how common educational practices in inquiry-based mathematics courses are easily adapted to teaching a writing course and how these pedagogical methods can be used to encourage students to develop habits of inquiry.