Criterion

0

1-2

3-4

5-6

7-8

9-10

SCORE

Knowledge and Understanding

The student does not reach a standard described by any of the descriptors.

The student demonstrates minimal mathematical knowledge and attempts to use different forms to represent mathematical ideas.

The student demonstrates partial knowledge and understanding of the subject material. The student uses a limited range of forms to represent mathematical ideas.

The student demonstrates sufficient knowledge and understanding of the subject material to make deductions. The student uses a variety of forms to represent mathematical ideas.

The student demonstrates a broad knowledge and a good understanding of the subject material, and makes deductions with some insight. The student moves between different forms of representation in most situations.

The student demonstrates a thorough knowledge and a comprehensive understanding of the subject material and is able to makes deductions with insight even in unfamiliar situations. The student moves confidently between different forms of representation.

Application and Reasoning

The student does not reach a standard described by any of the descriptors.

The student uses limited mathematical knowledge and recognizes simple patterns or structures when investigating problems. The student applies basic problem-solving techniques to routine tasks.

When investigating problems the student recognizes patterns and suggests relationships or general rules. The student applies skills and problem-solving techniques with some success.

When investigating problems the student recognizes patterns and structures, describes them as relationships or general rules and draws conclusions. The student applies appropriate skills and problem-solving techniques and uses appropriate technology to a limited extent.

When investigating problems of some complexity the student recognizes patterns and structures, describes them as relationships or general rules and draws conclusions consistent with findings. The student successfully selects and applies skills and problem-solving techniques. The student makes reasoned choices for the use of technology, where appropriate.

When investigating challenging problems, the student recognizes patterns and structures, describes them as relationships or general rules, draws conclusions and provides justifications or proofs. The student selects and applies advanced problem-solving techniques including the use of technology where appropriate.

Communica-tion

The student does not reach a standard described by any of the descriptors.

The student recognizes and uses basic mathematical symbols and language. An attempt is made to verbalize when investigating problems set in familiar contexts. The student presents some mathematical information clearly.

The student recognizes and uses a range of mathematical symbols and language. The lines of reasoning are verbalized and the solutions to problems are explained. Mathematical information is presented clearly and logically.

The student recognizes and uses a wide range of mathematical symbols and language. The student verbalizes effectively and explains solutions to problems clearly. The student chooses and uses the most appropriate technology to present mathematical information clearly and logically.

NOT Applicable

NOT Applicable

Reflection and Evaluation

The student does not reach a standard described by any of the descriptors.

The student attempts to justify the method used and to evaluate the reliability of findings.

The student justifies the method and the majority of processes used. The student evaluates the reliability of findings with some success.

The student presents a reasoned justification for the method and processes, and provides an evaluation of the significance and reliability of findings. The student suggests other approaches to solving the problem, where relevant.

The student presents a concise, reasoned justification for the method and processes and, where relevant, considers fully the range of approaches which could have been used, including the use of technology. The student makes a thorough evaluation of the significance and reliability of findings.

NOT Applicable