Completion checking: If enabled, activity completion is tracked, either manually or automatically, based on certain conditions.
Require view: Self explanatory.
Require grade: If enabled, the activity is considered complete when a student receives a grade. Pass and fail icons may be displayed if a pass grade for the activity has been set.
Expect completed on: This setting specifies the date when the activity is expected to be completed. The date is not shown to students and is only displayed in the activity completion report.