Learning fixed verb-preposition pairs with their case as one chunk (warten auf + acc) and the da-/wo-words (darauf, worauf) that replace and question them.
How German expresses the future (usually just present tense + a time word), the Futur I with werden, and time expressions: am Montag, im Mai, seit drei Jahren, vor einer Woche.
How German builds new words: long compounds (das Hausaufgabenheft) and derivations with suffixes and prefixes (-ung, -er, -heit, -los, un-). The key to cracking half-deleted words in the C-test.
Two-part conjunctions (nicht nur … sondern auch), indefinite pronouns (jemand, nichts, irgend-), the time triads (vor/vorher/bevor), and the means-word indem.