board game vs checkers

board game and checkers both are nouns.

Word	Noun	Adjective	Verb	Adverb
board game	Yes	No	No	No
checkers	Yes	No	No	No

As nouns, checkers is a hyponym of board game; that is, checkers is a word with a more specific, narrower meaning than board game:

board game: a game played on a specially designed board
checkers: a checkerboard game for two players who each have 12 pieces; the object is to jump over and so capture the opponent's pieces

board game (noun)	checkers (noun)
a game played on a specially designed board	a checkerboard game for two players who each have 12 pieces; the object is to jump over and so capture the opponent's pieces