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Measuring Up: Prototypes for Mathematics Assessment
to depend on the best game that the students can find. If a less-than-optimal game is described, then an answer of "Yes" is correct here.)
Some number other than 89 is suggested as the first move, with a rationale that includes some reference to the number's factors. For example, "95, because it's big, and the Taxman would get only 5, 19, and 1."
Characteristics of the low response:
Some game is described, but sketchily and perhaps ambiguously (that is, it may not be possible to tell in what order the numbers were selected).
No justification is provided for the first number chosen, or the justification does not take into account the factors of the number.
In question 4, no reference is made to factors of the number selected as the first move. For example: "95, because it is the biggest number you can get."