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Nach dem Unterricht muss die Lehrerin noch zehn Aufsätze korrigieren.

Nach dem Unterricht muss die Lehrerin noch zehn Aufsätze korrigieren.
After class the teacher still has to correct ten essays.
FromLesson 29inHardcore German
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Questions & Answers about Nach dem Unterricht muss die Lehrerin noch zehn Aufsätze korrigieren.

Why is the article dem used with Unterricht?
The preposition nach always takes the dative case. Unterricht is a masculine noun (der Unterricht), so in the dative it becomes dem Unterricht.
Why does the finite verb muss appear in second position, and why is korrigieren at the end?
German main clauses follow the V2 (verb-second) rule: the finite verb (here the modal muss) must occupy the second position. Any non-finite verbs (like the infinitive korrigieren) are pushed to the end of the clause.
What does noch mean in this sentence?
Here noch means still or yet, indicating that the teacher has remaining work—she still has ten essays left to correct after class.
Why is it zehn Aufsätze in the plural, and how is that plural formed?
Aufsatz is a masculine noun (der Aufsatz). Its plural is formed by adding -e plus an umlaut on a, giving die Aufsätze. In zehn Aufsätze, the phrase is in the accusative plural because it functions as the direct object of the verb.
How can you tell that die Lehrerin is the subject?
Die Lehrerin is in the nominative case (feminine form). In German, the subject of a sentence always takes the nominative, so this identifies die Lehrerin as the subject.
Can you rearrange the sentence, and what stays the same?

Yes. For example:
Die Lehrerin muss nach dem Unterricht noch zehn Aufsätze korrigieren.
You can move die Lehrerin to the first position, but the finite verb muss remains in second position and the infinitive korrigieren stays at the end.

Could you replace Nach dem Unterricht with another time phrase, and how would that work?

Yes. For example:
Am Nachmittag muss die Lehrerin noch zehn Aufsätze korrigieren.
Any time expression can occupy the first slot, but you must keep the finite verb in second position.

Why isn't there a word like to between muss and korrigieren?
German modal verbs (such as müssen) directly govern the infinitive. You say muss korrigieren without inserting any extra particle or preposition.
Can you omit noch? How does that change the meaning?

Yes. Without noch, the sentence becomes:
Nach dem Unterricht muss die Lehrerin zehn Aufsätze korrigieren.
This still expresses her obligation but loses the nuance that she still has those essays left to correct.

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