gifts
The German word for gifts is 'Geschenke'. It is a plural noun and is used to refer to items given to someone without the expectation of payment. 'Geschenke' can be used in the same context as the English word 'gifts', such as in the sentence 'I received many Geschenke for my birthday'.
I buy gifts for my family.
This sentence uses Geschenke (gifts) to express someone buying presents for his/her family. This is a straightforward expression, where 'Ich' means 'I', 'kaufe' means 'buy', 'für' stands for 'for' and 'meine Familie' refers to 'my family'.
The gifts are under the tree.
This sentence uses the word Geschenke (gifts) to express a common Christmas setting where gifts, denoted by 'Die Geschenke', are placed under a Christmas tree, which is indicated by 'unter dem Baum'. 'Sind' indicates state of being or existence here.
He opens his gifts.
This sentence simply uses the word Geschenke (gifts) to express a person, in this case 'Er' talking about a male, opening his gifts. 'Öffnet' is the verb which means 'opens' and 'seine' is a possessive pronoun that means 'his' in English.