The term self-concept is a general term used to refer to how someone thinks about, evaluates or perceives themselves. To be aware of oneself is to have a concept of oneself.
The use of the prepositional phrase in this sentence is adjective, because it is part of the noun phrase - the basketball on the roof.
If it weren't a part of the phrase, it would probably be an adverb, but this way, it is not.
We listened because it can stand alone as a sentence
