PREP.
on, with
noun
A pattern of squares of alternating colours.
A board, usually square, covered with such a pattern; especially such a board with 8×8 squares, used to play chess and draughts/checkers.
A style of negative cutting that avoids visible splice marks.
verb
To checker; to mark with an alternating pattern of light and dark.
We play chess on a checkerboard.
We play chess with a checkerboard.