grandmother
The German word for grandmother is Großmutter. It is used in the same way as the English word 'grandmother', referring to the mother of one's parent. It is often used as a term of endearment and respect.
My grandmother likes to cook.
This sentence is a simple declarative sentence that states a fact about my grandmother. In German, 'Meine Großmutter' means 'My grandmother' and 'kocht gerne' means 'likes to cook'.
I help my grandmother in the garden.
This sentence is using the verb 'helfen' which means 'to help'. The pronoun 'meiner' is the dative form of 'meine', used because 'helfen' is a dative verb.
My grandmother's cat is very old.
In this sentence, the form 'meiner Großmutter' is used to indicate possession, similar to the English 'my grandmother's'. 'Die Katze' means 'the cat' and 'ist sehr alt' means 'is very old'.