Modal verbs close A modal verbA verb which shows ability, permission, necessity, obligation or possibility eg can, must, should, want. are used to express ability, permission, necessity, obligation or ...
Modal verbs, which express a likelihood, ability, permission, request, order etc., usually help main verbs to state the future. It is the reason they are categorised as auxiliary verbs in the context.
German does have another past tense, called the Präteritum, but this is almost exclusively used in written German. Most verbs take haben, but verbs of movement or change of state generally take sein.