Maybe it is not a first (free-lance lessons) you are going to take.  But, your teacher

(a government employee), for some unknown reason want you making up for lost classes.  Thus:

http://www.sk.com.br/forum/display_message.php?message_id=87360

1. Temos que remarcar nossa aula para sexta.

2. Temos que repor a aula na sexta.

3. Perdemos a aula de sexta. Da pra repor na proxima semana?

Thanks a lot.

1. We've got to reschedule our class for next friday.

2. We've got to make up for the class we missed next friday.

3. We missed friday class. Could we make up for it next week?

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But, in the case is of private classes, you can replace reschedule for schedule.

////////////////
Você tem um horário (?)...(to  teachers/tutors)

If you would like to schedule an English class...could be on Friday, at your convenience.

Are yo free from Friday to Sunday at 11 a.m. for English tutoring?

Are you availabe as a private tutor at 11:00 a.m.?

I would like taking some English lessons, at weekdays, what are the time and days that fits
 your schedule?

Could you be available for tutoring in person, say, from Monday to Friday?

When could I book the first English lesson?

Could I make an appointment? tomorrow at 8:00 a.m. to discuss the objectives and
join the class?

Could you tell me your typical teaching/tutoring/class schedule? (or send me an email with
it?)

To physicians:
Could I make an appointment at...

Notice:

http://math-and-reading-help-for-kids.org/articles/How_to_Find_an_ESL_Tutor.html

Some teachers may prefer recommending you to other ESL teachers they may know instead
 of teaching him or her for various reasons. You could also try your local community
center to see if any ESL courses are available. Enrolling your child in an after-school
 ESL program may provide him or her with the practice needed.

= = = = == = ==  = ===

  Well, this is my colaboration, but there are more participants here. They certainly will improve this answer.        I hope it helps, anyway.

   By the way, your question question was a novelty here, at least for me.

   Well thought, a real challenge.

   PP.