|Taking turns to roll the dice|
|Which frog will get to the pond first?|
|Recording our results|
The next week we played Hop to the Pond with 12 Frogs. This time frogs were numbered 1 through 12, and students used 2 dice to see which frog moved. Several students caught on pretty quickly that it was impossible for frog # 1 to move in this game. Of course, this game generated a very different graph than the first. The graph generated by Hop to the Pond with 6 Frogs was fairly even with some mild peaks and valleys. As one student said, the game with 12 frogs generated a graph that looked like a mountain. Building on the observation about frog #1, we explored why certain numbers were more likely to be generated by 2 dice, and why the graphs were so different.
|Hop to the Pond is fun!|
|Reviewing our results|