iRubric: Math Problem Solving rubric

No strategy is chosen, or a strategy is chosen that will not lead to a solution.
Little or no evidence of engagement in the task present.

A partial correct strategy is chosen, or a correct strategy for only solving part of the task is chosen.
Evidence of drawing on some previous knowledge is present, showing some relevant engagement in the task.

A correct strategy is chosen based on mathematical situation in the task.
Planning or monitoring of strategy is evident.
Evidence of solidifying prior knowledge and applying it to the problem solving situation is present.
Note: Student must achieve the correct answer.

An efficient strategy is chosen and progress towards a solution is evaluated.
Adjustments in strategy, if necessary, are made along the way and/or alternative strategies are considered.
Evidence of analyzing the situation in mathematical terms and extending prior knowledge is present.
Note: Student must achieve the correct answer.

Arguments are made with no mathematical basis.
No correct reasoning nor justification for reasoning is present.

Arguments are made with some mathematical basis.
Some correct reasoning or justification for reasoning is present with trial and error, or unsystematic trying of several cases.

Arguments are constructed with adequate mathematical basis.
A systematic approach and/or justification of correct reasoning is present. This may lead to: clarification of the task, exploration of mathematical phenomenon, noting patterns, structures and regularities.

Deductive arguments are used to justify decisions and may result in formal proofs.
Evidence is used to justify and support decisions made and conclusions reached. This may lead to: testing and accepting or rejecting of a hypothesis or conjecture, explanation of phenomenon, generalizing and extending the solution to other cases.