# Integrated Conceptual Path Measurer

Computes perimeter of a polygon, including complex cases. Can find several related cases of polygons with the same perimeter, or the same area, and relate those cases to one another by logical comparison to provide evidence of an underlying pattern. Makes claims about sets of complex paths based on perimeter and other linear aspects of the objects. Can analyze length within two- and three-dimensional contexts. In selection of units, children show well-developed ideas of precision and accuracy.

## Other Examples:

• Can re-arrange portions of a path A to B without numerically measuring for the parts involved, arguing that both paths are the same length based on geometric properties.
• Can make changes in one part of a figure and adjust other sides to compensate for changes of length to maintain the fixed overall path length.

## Help your student become a(n) Integrated Conceptual Path Measurer

Activities builds on all previous levels of thinking, especially the previous two, to challenge students to mentally and arithmetically understand the perimeters of various polygons in 2D and 3D contexts.