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Diagnose a Numerator-Denominator Error
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ParaPro
PPM.142 Diagnose a Numerator-Denominator Error
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A student labels one small square in a larger 2-by-3 rectangle as 1/1 because the small square is fully shaded. The question asks for the fraction of the larger rectangle. Which diagnosis is strongest?
A
The error is identifying the unit whole before counting selected and total parts. The selected amount is being measured against an inconsistent whole.
B
The student did not use the total number of equal parts in the whole as the denominator. This points to a total-equal-parts error.
C
The student overlooked that each fractional part of a whole must be the same size. The correction begins by repartitioning the whole into equal parts.
D
The error is in deciding which parts belong on top of the fraction. This error can happen even when the whole is counted correctly.
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