Collins, Craig. Donavan, Elizabeth. Kramer, Cynthia. (2020). Recruiting Change for a Dollar. In S. Bowen (Ed.), Math Circle Activity Database. American Institute of Mathematics. https://mathcircles.org/activity/Recruiting-Change-for-a-Dollar
How many different ways are there to make change for a dollar? As mathematicians we often search for patterns in a problem. However, for this problem, there is no simple, predictable pattern to build to an answer, encouraging participants to reach outside their comfort zones and ponder alternative strategies in order to make progress.
This monetary problem is engaging, and classroom adaptable with multiple entry points.