Students may be asked to devise some of their own problems applying these concepts to realistic situations. If the students have experience with fixed area, varying perimeters problems, this problem type will be further explored. The problem may involve finding an efficient way of doing something. Students will be asked to solve the problem, using models and various forms of analysis. Graph paper, tiles, string, rulers, etc. will be provided.
Students are to give their solution mathematically, pictorial, and in a paragraph.
A rubric for evaluation will be devised. It is an excellent problem for developing problem solving ability. Students learn to model, analyze, and represent problems in numerous ways. The problem also necessitates the search for patterns and the discovery of rules and relationships, which are vital elements of mathematics at all levels. Addison-Wesley Publishing Company.