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Conceptual Understanding
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Emerging
1.Your mathematical representations of the problem were
incorrect.
2.You used the wrong information in trying to solve
the problem.
3.The mathematical procedures you used would not
lead to a correct solution.
4.You used mathematical terminology incorrectly.
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Developing
1. Your choice of forms to represent the
problem was inefficient or inaccurate.
2. You used some but not all of the relevant information from the problem.
3. The mathematical procedures you used would lead to a partially correct
solution.
4. You used mathematical terminology imprecisely.
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Developing Proficient
1. Your choices of mathematicalrepresentations
of the problem were appropriate.
2. You used all relevant information from the problem in your solution.
3. The mathematical procedures you chose would lead to a correct solution.
4. You used mathematical terminology correctly.
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Exemplary
1. Your choice of mathematical
representations helped clarify the problem's meaning.
2. You uncovered hidden or implied information not readily apparent.
3. You chose mathematical procedures that would lead to an elegant solution.
4. You used mathematical terminology precisely.
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Strategies and Reasoning
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Emerging
1.
Your strategies were not appropriate for the problem.
2. You didn't seem to know where to begin.
3. Your reasoning did not support your work.
4. There was no apparent relationship between your representations and the
task.
5. There was no apparent logic to your solution.
6. Your approach to the problem would not lead to a correct solution.
1-5
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Developing
1.
You used an oversimplified approach to the problem.
2. You offered little or no explanation of your strategies.
3. Some of your representations
accurately depicted aspects of the problem.
4. You sometimes made leaps in your logic that were hard to follow.
6-10
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Proficient
1. You chose appropriate, efficient
strategies for solving the problem.
2. You justified each step of your work.
3. Your representation(s) fit the task.
4. The logic of your solution was apparent.
5. Your process would lead to a complete, correct solution of the problem.
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Exemplary
1. You chose innovative and insightful strategies for solving the
problem.
2. You proved that your solution was correct
and that your approach was valid.
3. You provided examples and/or counterexamples to support your solution.
4. You used a sophisticated approach to solve the problem.
16-20
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Totals:
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Computation
& Execution
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Emerging
1. Errors in computation were serious enough
to flaw your solution.
2. Your mathematical representations were inaccurate.
3. You labeled incorrectly.
4. Your solution was incorrect.
5. You gave no evidence of how you arrived at your answer.
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Developing
1. You made minor computational errors.
2. Your representations were essentially correct but not accurately or
completely labeled.
3. Your inefficient choice of procedures impeded your success.
4. The evidence for your solution was inconsistent or unclear.
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Proficient
1. Your computations were essentially
accurate.
2. All visual representations were complete and accurate.
3. Your solution was essentially correct.
4. Your work clearly supported your solution.
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Exemplary
1. All aspects of your solution were
completely accurate.
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Communication
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Emerging
1. I couldn't follow your thinking.
2. Your explanation seemed to ramble.
3. You gave no explanation for your work.
4. You did not seem to have a sense of what your audience needed to know.
5. Your mathematical representations did not help clarify your thinking.
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Developing
1. Your solution was hard to follow in
places.
2. I had to make inferences about what you meant in places.
3. You weren't able to sustain your good beginning.
4. Your explanation was redundant in places.
5. Your mathematical representations were somewhat helpful in clarifying your
thinking.
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Proficient
1. I understood what you did and why you did
it.
2. Your solution was well organized and easy to follow.
3. Your solution flowed logically from one step to the next.
4. You used an effective format for communicating.
5. Your mathematical representations helped clarify your solution.
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Exemplary
1. Your explanation was clear and concise.
2. You communicated concepts with precision.
3. Your mathematical representations expanded on your solution.
4. You gave an in-depth explanation of your reasoning.
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