I don't know much about ancient Greece, but I do know what we've been doing in Humanities. First of all, at the end of the day, we do "The Fates". Basically, one member of each group roles a die or spins a spinner. Then, the teacher reads something that happens to your city-state based on the number rolled or spun. This is the main way city-states gain or lose points. We have also been doing other stuff that relates to ancient Greece like learning the Greek alphabet.