school assignment vs homework

school assignment and homework both are nouns.

Word	Noun	Adjective	Verb	Adverb
school assignment	Yes	No	No	No
homework	Yes	No	No	No

As nouns, school assignment and homework are synonyms defined as:

school assignment and homework: work, such as schoolwork or piecework, that is done at home

Other synonyms of school assignment include schoolwork.

school assignment (noun)	homework (noun)
work, such as schoolwork or piecework, that is done at home	work, such as schoolwork or piecework, that is done at home