交给 means 'to hand over to (someone)' or 'to give to (someone)'. It is a compound verb that combines 交 ('to hand over') with 给 ('to give'), and it often appears in the 把 construction (把 + object + 交给 + recipient). The recipient always comes after 交给, and the direct object is often placed before 交给 with 把. For example: 把作业交给老师 ('hand in the homework to the teacher').