Because algorithms form the audiences that reach us online, students need algorithmic literacy as well as rhetorical awareness when learning to write online. This article examines student writing to explore how students can use theorycrafting to systematically test an algorithm to gain more critical awareness of how the algorithm functions and forms publics online. Finally, this article explores how students can use the algorithmic knowledge they learned from theorycrafting to reflect on the ethics their algorithm constructs for users and how it constructs ad hoc publics. The article then explores how students can create multimodal intersectional counternarratives in response that they can also more effectively circulate online to more deliberately construct inclusive online publics.