과제하다(gwa-je-ha-da, gwajehada)
To actively do or carry out an assignment oneself.
When to use
Active task performance, Subject doing the task, Student doing assignment directly
The nuance
Use when the subject actively performs or completes the assignment themselves; the subject 'does' the task.
과제되다(gwa-je-doe-da, gwajedoeda)
An assignment is assigned or imposed on someone; passive reception of a task.
When to use
Assignment assigned, Task imposed, Subject receives task
The nuance
Use when an assignment is assigned or imposed on the subject; the subject 'receives' the task passively.