Teaching any properties in math can be tough for educators. Properties as intuitive as Associative Commutative, Distributive or as tough as the ones shown below are hard for students to memorize.
(hosted at ecalc.com)
And that's just what we need...a memory game!
Using flashcards (premade flashcards may be found here) have students play the old fashioned memory game.
1) Each student gets a turn to flip over two cards
2) If they match the proper property with its definition they keep the set of cards and go again. If they don't, its the other students turn
3) The Student who collects the most sets of cards, wins!
The same concept may be used to teach algebra properties. For example, the various definitions of perfect square trinomials and the difference of two squares. They too can be made to play in the same fashion.
Let me know how it goes :)