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.


You may see this:

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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. 

Special Thanks To

Institute of Education Sciences
The research reported here was supported by the Institute of Education Sciences, U.S. Department of Education, through grant numbers R305K050157, R305A120813, R305A110188, and R305A150243. to the University of Denver. The opinions expressed are those of the authors and do not represent views of the Institute or the U.S. Department of Education.