A class script or lecture script is a plan that instructors use for what they will do in class. It is analogous to the scripts of plays. It differs from a class screenplay, which would go into more specific details (such as explicit guidance on what board to use, what students to cold call, etc.).
A large number of instructors develop class scripts, typically in the form of summary notes that they expand upon during lecture. The notes may or may not be made available to students. Some instructors use detailed full-scale class notes (that they may share with students) or an existing book and create their script from that on the fly.
The class script is an important component of classroom instruction as performance.