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# Massachusetts Comprehensive Assessment System

 Question 11: 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.] Two fractions are shown below.   Write a number sentence to compare  and . Use  in your number sentence.Draw a model that shows your number sentence is correct.

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

ScoreDescription
2 The student response demonstrates an exemplary understanding of the Numbers and Operations - Fractions concepts involved in explaining equivalence of fractions in special cases and comparing fractions by reasoning about their size. The student writes an inequality to compare two given fractions and draws a model to show that the comparison is correct.
2
1 The student response demonstrates a fair understanding of the Numbers and Operations - Fractions concepts involved in explaining equivalence of fractions in special cases and comparing fractions by reasoning about their size. While some aspects of the task are completed correctly, others are not. The mixed evidence provided by the student merits 1 point.
0 The student response contains insufficient evidence of an understanding of the Numbers and Operations - Fractions concepts involved in explaining equivalence of fractions in special cases and comparing fractions by reasoning about their size to merit any points.

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