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.