Fluency | One incomplete or unworkable strategy or technique | At least one appropriate solution with strategy or technique shown | At least two appropriate solutions, may use the same strategy or technique | Several appropriate solutions, may use the same strategy or technique |
Flexibility | No method apparent | At least one method (e.g., all graphs, all algebraic equations and so on) | At least two methods of solution (e.g., geometric, graphical, algebraic, physical modeling) | Three or more methods of solution (e.g., geometric, graphical, algebraic, physical modeling) |
Originality | Method may be different but does not lead to a solution | Method will lead to a solution but is fairly common | Unusual, workable method used by only a few students, or uncommon solution | Unique, insightful method or solution used only by one or two students |
Elaboration | Little or no appropriate explanation given | Explanation is understandable but is unclear in some places | Clear explanation using correct mathematical terms | Clear, concise, precise explanations making good use of graphs, charts, models, or equations |