So when Chris got out the Sequence and Dicecapades games, dumped out the various pieces and flipped the Sequence board over, we got creative.
There was no "win" or "lose" objective. We simply played, making up rules for what to do under certain circumstances, inventing as we went until we got tired.
At one point, we started making towers, which is what Chris and the Lucky Cat are doing above.
Red cards, meanwhile, led to "multiplication war." You took two red dice, and challenged another player to take two red dice. You rolled your pair, multiplied the two faces, and whoever had the higher product got to take chips from the other. (The number was based on the card you'd originally flipped over, since taking 56 chips was out!)
We also exhibited some gaming generosity; Sarah got the idea to give BACK the number of tokens she should have taken when she got more of ours than we had of hers.
Let me be clear on one last thing: Sarah decided these were the things we should do. My "math-hating," "yuck to anything that looks educational" child made a math game with language adaptations with zero prompting from us.
Now that's a win!