Simple:
* The teacher assigned us homework for the weekend.
* Each student was assigned a different project.
* I was assigned the task of organizing the meeting.
More complex:
* The detective assigned to the case was determined to find the culprit.
* The company assigned a new team to work on the software upgrade.
* The doctor assigned me a course of medication.
Using "assigned" in different tenses:
* My boss assigned me a new client yesterday. (past tense)
* We are assigned to a specific team for this project. (present tense)
* The tickets will be assigned on a first-come, first-served basis. (future tense)
With different types of nouns:
* The manager assigned me a new desk. (physical object)
* The professor assigned a reading for the class. (task)
* The judge assigned a lawyer to the defendant. (person)
Remember, "assigned" means to give someone a particular task, role, or responsibility.