This article maps critical literacies conceptually and empirically in the context of adult immigrant language classrooms. It begins by describing Deleuze and Guattari's cartographic approach. Then it traces critical literacies situated conceptually within a Freirean paradigm before mapping them differently through the Deleuzian-informed Multiple Literacies Theory (MLT). MLT frames critical literacies as reading intensively, that is, disruptively. This alternative conceptualization is then mobilized empirically in relation to the problems and politics produced in the qualitative study of one language classroom. In this classroom, reading a newspaper article provoked a series of transformative events or "becomings," a concept created by Deleuze and Guattari and which is central to MLT. A research cartography is presented as a series of vignettes weaving data and concepts. This empirical mapping of media literacies and reading intensively offers insights into the politics of becoming in adult immigrant language classrooms and opens conceptual lines of flight between critical literacies and reading intensively. (Contains 8 notes.)