بعد الدرس كتبت الاستاذة الجواب على الصفحة.

بعد الدرس literally means after the lesson.

In context, الدرس can mean:

• lesson
• class
• sometimes lecture, depending on the situation

So a natural English translation could be after the lesson or after class.

Because بعد is followed by a noun in the genitive.

So the phrase is:

• بعدَ = after
• الدرسِ = the lesson/class, in the genitive

This is very common in Arabic with words like before, after, during, and similar time expressions.

So the fully vowelled phrase is:

بعدَ الدرسِ

That is a very common question, because unvowelled Arabic can be ambiguous.

By itself, كتبت could represent several different forms:

• كَتَبْتُ = I wrote
• كَتَبْتَ = you wrote (masculine singular)
• كَتَبْتِ = you wrote (feminine singular)
• كَتَبَتْ = she wrote

Here, the next word is الأستاذة = the female teacher, which is a third-person feminine subject. So the only reading that fits is:

كَتَبَتْ = she wrote

So the sentence structure tells you how to read the verb.

Because the verb already contains that information.

In Arabic past tense, the verb tells you the person, number, and often gender. So:

• كتبتْ already means she wrote

Then Arabic can still add the noun الأستاذة after it to say exactly who she is:

كتبت الأستاذة = the teacher wrote

So Arabic does not need a separate pronoun like English she here.

In standard Modern Standard Arabic, the usual spelling is:

الأستاذة

with a hamza on أ.

The word is the feminine form of:

• أستاذ = male teacher / الأستاذ = the male teacher
• أستاذة = female teacher / الأستاذة = the female teacher

The ending ـة is a very common feminine ending in Arabic.

So here الأستاذة is feminine, and that is why the verb is also feminine: كتبتْ.

Yes, you can say both.

This sentence uses a very common Arabic order:

• verb + subject + object

So:

كتبت الأستاذة الجواب

But you can also say:

الأستاذة كتبت الجواب

That puts the subject first, which can sound a bit more emphatic or topic-focused, like the teacher wrote the answer.

Both are correct in MSA.

الجواب means the answer, and it is the direct object of the verb كتبت.

So the structure is:

• كتبتْ = wrote
• الأستاذةُ = the teacher
• الجوابَ = the answer

It is definite because the sentence is referring to a specific answer, probably one already known from context.

If you wanted an answer, you would normally use an indefinite form such as:

جوابًا

So:

• الجواب = the answer
• جوابًا = an answer

A fully vowelled version is:

بَعْدَ الدَّرْسِ كَتَبَتْ الأُسْتَاذَةُ الجَوَابَ عَلَى الصَّفْحَةِ

Here is the grammar:

• بعدَ — accusative adverb of time
• الدرسِ — genitive after بعد
• كتبتْ — past tense, 3rd person feminine singular
• الأستاذةُ — nominative subject
• الجوابَ — accusative direct object
• على — preposition
• الصفحةِ — genitive after the preposition

So this sentence is a good example of how case works in MSA.

Because for writing, على is the natural choice when something is written on a surface.

So:

• على الصفحة = on the page

This matches English quite closely.

If you said في الصفحة, it would sound more like in the page or within the page, which is not the normal basic phrasing for writing something on paper.

A useful pronunciation guide is:

baʿda d-darsi katabat al-ustādhatu al-jawāba ʿalā aṣ-ṣafḥati

A few pronunciation notes:

• الدرس starts with د, which is a sun letter, so الدرس is pronounced ad-dars, not al-dars
• الصفحة starts with ص, also a sun letter, so it is pronounced aṣ-ṣafḥa
• الأستاذة does not have that sun-letter doubling, so it stays closer to al-ustādha
• ع in على is a consonant that English does not have; it is produced deep in the throat

So in connected speech you will hear something close to:

baʿda d-darsi katabat al-ustādhatu al-jawāba ʿalā aṣ-ṣafḥati