Do teachers take annual leave?

I understand that teachers get roughly 3 months off a year, but is any of it actually called annual leave? Last year we tried 5 times during the term to meet up with our child’s dean and she refused to. Due to our child’s I’ll health their class plan is very complicated and we tried to meet up with the dean in order to finalise this year’s school plan before the term started. Our child is supposed to start next Tuesday and can’t as theirs no plan made. Can school staff actually work during school holidays, could she have meet up with us in the week better xmas or the week before teachers went back to school or are the school holidays the teachers annual leave (instead of just 4 weeks like the average worker).