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Explanation shows complete understanding of the mathematical concepts used to solve the problem(s).
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Explanation shows substantial understanding of the mathematical concepts used to solve the problem(s).
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Explanation shows some understanding of the mathematical concepts needed to solve the problem(s).
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Explanation shows very limited understanding of the underlying concepts needed to solve the problem(s) OR is not written.
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Uses complex and refined mathematical reasoning.
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Uses effective mathematical reasoning
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Some evidence of mathematical reasoning.
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Little evidence of mathematical reasoning.
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90-100% of the steps and solutions have no mathematical errors.
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Almost all (85-89%) of the steps and solutions have no mathematical errors.
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Most (75-84%) of the steps and solutions have no mathematical errors.
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More than 75% of the steps and solutions have mathematical errors.
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Student always listens and follows directions and only uses manipulatives as instructed.
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Student typically listens and follows directions and uses manipulatives as instructed most of the time.
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Student sometimes listens and follows directions and uses manipulatives appropriately when reminded.
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Student rarely listens and often "plays" with the manipulatives instead of using them as instructed.
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Student was an engaged partner, listening to suggestions of others and working cooperatively throughout lesson.
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Student was an engaged partner but had trouble listening to others and/or working cooperatively.
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Student cooperated with others, but needed prompting to stay on-task.
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Student did not work effectively with others.
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Explanation is detailed and clear.
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Explanation is clear.
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Explanation is a little difficult to understand, but includes critical components.
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Explanation is difficult to understand and is missing several components OR was not included.
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The work has been checked by two classmates and all appropriate corrections made.
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The work has been checked by one classmate and all appropriate corrections made.
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Work has been checked by one classmate but some corrections were not made.
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Work was not checked by classmate OR no corrections were made based on feedback.
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The work is presented in a neat, clear, organized fashion that is easy to read.
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The work is presented in a neat and organized fashion that is usually easy to read.
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The work is presented in an organized fashion but may be hard to read at times.
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The work appears sloppy and unorganized. It is hard to know what information goes together.
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Diagrams and/or sketches are clear and greatly add to the reader's understanding of the procedure(s).
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Diagrams and/or sketches are clear and easy to understand.
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Diagrams and/or sketches are somewhat difficult to understand.
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Diagrams and/or sketches are difficult to understand or are not used.
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All problems are completed.
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All but one of the problems are completed.
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All but two of the problems are completed.
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Several of the problems are not completed.
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Correct terminology and notation are always used, making it easy to understand what was done.
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Correct terminology and notation are usually used, making it fairly easy to understand what was done.
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Correct terminology and notation are used, but it is sometimes not easy to understand what was done.
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There is little use, or a lot of inappropriate use, of terminology and notation.
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Typically, uses an efficient and effective strategy to solve the problem(s).
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Typically, uses an effective strategy to solve the problem(s).
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Sometimes uses an effective strategy to solve problems, but does not do it consistently.
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Rarely uses an effective strategy to solve problems.
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