are these obligatory elements?

The teacher gives some books. (X)
The teacher gives some books to the students.(O)
Therefore, the preposition phrase above is an obligatory element.

So after seeing above, I want to know that the preposition phrases like these are obligatory elements:
The teacher gives some books in the class; The teacher gives some books for the students; The teacher gives some books with his hands; The teacher gives some books from his book shelf.