Collocations for school - noun

nursery
comprehensive, first, grammar, junior, middle, prep, preparatory, senior (all in the UK)
elementary, grade (informal), high, junior high, middle (all in the US)
primary, secondary (both esp. BrE)
charter (AmE), fee-paying, independent, private, public, state (BrE) (In Britain ‘public schools’ are private. In the US a public school is a free local school paid for by the government. In the UK, this type of free school is called a ‘state school’.)
special
She attends a special school for children with learning difficulties.

coed (informal), co-educational, mixed (BrE)
single-sex
all-boys, all-girls, boys', girls'
boarding, residential (BrE)
day
faith (BrE), mainstream, religious
Catholic, Christian, Islamic, Muslim, etc.
Bible, Hebrew, Sunday
summer
inner-city, local, neighbourhood/neighborhood, parochial (AmE), rural, village (BrE)
night (old-fashioned)
finishing
prep, preparatory (= a school that prepares students for college)
grad, graduate (both AmE)
trade, vocational (both AmE)
training
art, business, divinity (AmE), drama, film, law, med (informal, esp. AmE), medical, military
dance, driving, language, riding
prestigious
beacon (BrE), magnet (AmE)
failing
It is a failing school with some of the worst results in the city.

attend, go to
enter (esp. AmE), start
finish, leave (BrE), quit (AmE)
stay in
be expelled from, be kicked out of (esp. AmE)
He was expelled from school for verbally abusing his teacher.

drop out of
bunk off (BrE,informal), ditch (AmE), play hooky from (AmE), play truant from (BrE), skip
be off (BrE), stay home from (AmE), stay off (BrE)
Eric is off school again.
My parents let me stay home from school yesterday.
My parents let me stay off school yesterday.

keep sb home from (AmE), keep sb off (BrE)
You don't need to keep your child home from school because of a cough.
You don't need to keep your child off school because of a cough.

teach (AmE)
She teaches elementary school in Atlanta.

run
He runs a karate school in San Jose, California.

child (usually schoolchildren), kid (informal) (usually schoolkids)
boy, girl (usually schoolboy, schoolgirl)
pupil (esp. BrE,becoming old-fashioned), student
friend, mate (usually schoolmate)
teacher (usually schoolteacher)
She's a middle-school teacher.

master, mistress (usually schoolmaster, schoolmistress)
head teacher (BrE), principal (AmE)
administrator, counselor (both AmE)
governor (esp. BrE)
auditorium (esp. AmE), building, classroom, hall, library
playground, yard (usually schoolyard)
day
The next day was Monday, a school day.
It was just a typical school day.

semester (esp. AmE), term, year
holidays (BrE), vacation (AmE)
bus
run (= the journey that parents make to take their children to school)
dinners (BrE), lunch (esp. AmE), meals (BrE)
rules
uniform
assembly
age
children of school age
school-age children

days (usually schooldays)
She hadn't seen Laura since her schooldays.

district (AmE)
curriculum
voucher (AmE)

after school
We're going to play football after school.
a range of after-school activities

at (a/the) school (BrE)
She didn't do very well at school.
Their son's at the school near the station.

in (a/the) school
Are your children still in school? (AmE)
the cleverest child in the school

be on the way home from school
get ready for school
get out of school
come home from, get home from
do well at school (BrE), do well in school (esp. AmE)
Amy is doing extremely well in school and gets top marks in every class.

leave for school