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Massachusetts Comprehensive Assessment System

 Question 13: Open-Response Reporting Category: Number and Operations-FractionsStandard: Mathematics.3.NF.1.03 - Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [Note: Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.] Abigail and Casey each ordered a pizza for lunch. Both pizzas were the same size. The pizzas could be cut into either 2, 4, 6, or 8 equal pieces.Abigail ordered her pizza cut so that each piece had the smallest possible area. What fraction of Abigail’s whole pizza is one piece?Casey ordered his pizza cut so that it had half as many pieces as Abigail’s pizza. Write a number sentence to compare a fraction that represents one piece of Casey’s pizza and a fraction that represents one piece of Abigail’s pizza. Use , , or = in your number sentence.

Scoring Guide and Sample Student WorkSelect a score point in the table below to view the sample student response.

ScoreDescription
2
2
1
0

Note: There are 2 sample student responses for Score Point 2.