The Skirball currently has an awesome exhibit outdoors with oversized gameboards for the kids to play Connect Four, checkers, Chinese checkers, and more. The activity is meant to dovetail with the Mah Jongg exhibition for the grownups.
The Skirball is free on Thursdays (you should reserve timed tix to Noah’s Ark in advance, though), so you might want to plan this outing with your kids on that day of the week. In addition, the museum has extended its hours during the summer.
Fabulous, Fun, and Free L.A. 