trade school vs middle school

trade school and middle school both are nouns.

Word	Noun	Adjective	Verb	Adverb
trade school	Yes	No	No	No
middle school	Yes	No	No	No

As nouns, middle school is a hypernym of trade school; that is, middle school is a word with a broader meaning than trade school:

trade school: a secondary school teaching the skilled trades
middle school: a school for students intermediate between elementary school and college; usually grades 9 to 12

Other hypernyms of trade school include Gymnasium, lycee, lyceum, secondary school.

trade school (noun)	middle school (noun)
a secondary school teaching the skilled trades	a school for students intermediate between elementary school and college; usually grades 9 to 12