Given the estimation component built into this problem, we encourage you to accept all reasonable responses. Many different solution paths are possible and should not be limited to the solutions provided.

Students will apply prior knowledge to solve this problem and their understanding of concepts such as dividing a composite figure into familiar geometric representations, circumference of a circle, circumference of a semi-circle, symmetry, estimation, and metric measurement will determine their entry level and solution path of choice. This open-ended task has a multitude of entry levels. The paper clip modeled in this problem is an actual large standard paper clip. In the interest of open-ended problem solving, no scaffolding or additional questions are posed in this task. Extending the paper clip beyond the grid provides an opportunity to include an estimation component in the problem. Students are given the approximate length of the paper clip and determine the number of like paper clips made from a given length of wire. A metric measurement scale is drawn across the bottom of the grid and the paper clip extends in both directions slightly beyond the grid. In this task, a typographic grid system serves as the background for a standard paper clip.

This high level task is an example of applying geometric methods to solve design problems and satisfy physical constraints.

Paper clip