Use the following Interactive Activity to work on the problem below, which lets you manipulate squares to form as many pentominos as you can.
This problem provides a context for exploring several important mathematical concepts, including symmetry, area, perimeter, and spatial visualization. It also enables you to approach these tasks by using a variety of strategies, rather than by following a definition or a formula. Exploring mathematical concepts by solving interesting problems helps prompt thinking about concepts beyond your present knowledge and skill level. It also may call on higher-order thinking skills, for instance, applying previous knowledge, analyzing and evaluating data, and looking for patterns.