AI Fractions Rubrics
for Grade 1

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Common mistakes

Misconceptions students bring to fractions

Specific errors to watch for when reviewing student work — pulled from classroom research and teacher reports.

1. 1

   Adding numerators and denominators directly.

   What to teach instead: Find a common denominator first; only the numerators add.

   1/2 + 1/3 ≠ 2/5. Convert to sixths: 3/6 + 2/6 = 5/6.

2. 2

   Believing a fraction with a larger denominator is always larger.

   What to teach instead: With the same numerator, a larger denominator means smaller pieces.

   1/4 < 1/2, even though 4 > 2.

3. 3

   Forgetting that mixed numbers and improper fractions are equal in value.

   What to teach instead: 1¾ and 7/4 are the same number written two ways.

4. 4

   Inverting only one fraction when dividing.

   What to teach instead: Keep the first fraction, flip the second, change division to multiplication.

   2/3 ÷ 1/4 = 2/3 × 4/1 = 8/3.

5. 5

   Multiplying always makes a number bigger.

   What to teach instead: Multiplying by a fraction less than 1 makes the result smaller.

   10 × 1/2 = 5, which is less than 10.