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MATHEMATICAL KNOWLEDGE:

Knowledge of mathematical principles and concepts which result in a correct solution to a problem.

Score

♦ shows complete understanding of the problem’s

Level

mathematical concepts and principles

MATHEMATICS SCORING RUBRIC

The following rubric is used for the extended-response items for grade levels 3 through 8.

2 ♦ uses some correct mathematical terminology and notations

STRATEGIC KNOWLEDGE:

Identification and use of important elements of the problem that represent and integrate concepts which yield the solution (e.g., models, diagrams, symbols, algorithms).

identifies all important elements of the problem and shows complete understanding of the relationships among elements gives a complete written explanation of the solution process; clearly explains what was done and why it was done
shows complete evidence of an appropriate strategy that would correctly solve the problem may include a diagram with a complete explanation of all its elements
identifies most of the important elements of the problem and shows a general understanding of the relationships among them gives a nearly complete written explanation of the solution process; clearly explains what was done and begins to address why it was done
shows nearly complete evidence of an appropriate strategy for solving the problem may include a diagram with most of its elements explained
EXPLANATION:

Written explanation of the rationales and steps of the solution process. A justification of each step is provided. Though important, the length of the response, grammar, and syntax are not the critical elements of this dimension.

♦ no apparent strategy

♦ no written explanation of the solution process is provided

♦ no answer attempted

August 2005