A la festa, volem fer una foto amb la professora.

A la festa means at the party.

Catalan often uses a where English uses at or sometimes in, especially with places, events, and destinations. So:

• a la festa = at the party
• a l’escola = at school / to school, depending on context

Here, it gives the setting for the action.

The comma shows that A la festa has been moved to the front as a setting phrase.

So the sentence is basically:

• Volem fer una foto amb la professora = We want to take a photo with the teacher
• A la festa = At the party

Putting A la festa first makes it sound like the speaker is setting the scene: At the party, we want to take a photo with the teacher.

Without the comma, or with the phrase later in the sentence, the meaning is still very similar:

• Volem fer una foto amb la professora a la festa.

Because Catalan often leaves out subject pronouns when the verb already makes the subject clear.

The verb volem means we want, so we is already built into the verb ending.

• vull = I want
• vols = you want
• vol = he/she/it wants
• volem = we want

You could say Nosaltres volem..., but that usually adds emphasis, like we want, not someone else.

Literally, volem fer means we want to do/make.

But in this sentence, fer una foto is the normal Catalan way to say take a photo. So:

• volem = we want
• fer = to do / to make
• una foto = a photo

Together: we want to take a photo.

It is simply the usual expression in Catalan.

Catalan commonly uses fer in many expressions where English uses a different verb. So although fer often means do or make, in this case:

• fer una foto = to take a photo

This is one of those cases where it is best to learn the whole expression, not translate word by word.

Yes, basically.

• una foto = shorter, more everyday
• una fotografia = more formal or more complete

In normal speech, foto is extremely common. So this sentence sounds natural and everyday.

It means with the teacher, in the sense of together with the teacher.

So the idea is that the speakers want to be in the photo along with her.

This is different from:

• una foto de la professora = a photo of the teacher

That would usually mean the teacher is the subject of the photo.
But una foto amb la professora means the speakers want a photo where they are with her.

Catalan usually uses the definite article with a specific person being referred to, including professions or roles.

So:

• la professora = the teacher
• el professor = the male teacher

In this sentence, la professora refers to a specific teacher already known in the situation.

If you were directly addressing her, you would normally drop the article:

• Professora, podem fer una foto? = Teacher, can we take a photo?

Because professora is feminine, so it refers to a female teacher.

• el professor = the male teacher
• la professora = the female teacher

The article also matches:

• la professora
• el professor

Yes. Catalan word order is flexible, especially with time and place phrases.

You could also say:

• Volem fer una foto amb la professora a la festa.

That is also natural. Starting with A la festa puts more focus on the setting. It is a bit like saying: At the party, we want to take a photo with the teacher.

So the version you have is completely normal; it just foregrounds the location.

Literally, it means the teacher.

However, in real context, it may refer to our teacher if that is obvious from the situation. Catalan does not always need a possessive like our when the person is already understood.

So:

• amb la professora = with the teacher
• depending on context, English might naturally translate that as with our teacher

The Catalan sentence itself does not explicitly say our.