Tennis, Anyone?
In this article, we present an engaging problem that is accessible to students at a variety of grade and skill levels. The problem is drawn from a common, real–world setting (tennis) and illustrates how a single problem can be solved in many ways by using increasingly powerful mathematics. We present these solution strategies as a sequence, beginning with informal hands–on activities and progressing to more formal and advanced mathematics. By considering the variety of solution strategies and by seeing how advanced mathematical techniques arise from basic properties and phenomena, students can develop a connected view of mathematics. The tennis problem allows students to develop an understanding of mathematical concepts and methods in a bounded setting.