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# Massachusetts Comprehensive Assessment System

 Question 12: Open-Response Reporting Category: Number and Operations-FractionsStandard: Mathematics.5.NF.2.04 - Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction. Kara is painting flowerpots. She uses  cup of paint for each flowerpot. How many cups of paint does Kara use for 2 flowerpots? Show or explain how you got your answer.How many cups of paint does Kara use for 12 flowerpots? Show or explain how you got your answer.After the flowerpots dry, Kara plants seeds in them. She uses  cups of soil to fill each flowerpot. How many cups of soil does Kara use to fill 12 flowerpots? Show or explain how you got your answer.

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

ScoreDescription
4 The student response demonstrates an exemplary understanding of the Numbers and Operations—Fractions concepts involved in applying and extending the previous understandings of multiplication to multiply a fraction or whole number by a fraction. The student multiplies fractions by whole numbers and fractions by mixed numbers.
4
3 The student response demonstrates a good understanding of the Numbers and Operations—Fractions concepts involved in applying and extending the previous understandings of multiplication to multiply a fraction or whole number by a fraction. Although there is significant evidence that the student was able to recognize and apply the concepts involved, some aspect of the response is flawed. As a result the response merits 3 points.
2 The student response demonstrates a fair understanding of the Numbers and Operations—Fractions concepts involved in applying and extending the previous understandings of multiplication to multiply a fraction or whole number by a fraction. While some aspects of the task are completed correctly, others are not. The mixed evidence provided by the student merits 2 points.
1 The student response demonstrates only a minimal understanding of the Numbers and Operations—Fractions concepts involved in applying and extending the previous understandings of multiplication to multiply a fraction or whole number by a fraction.
0 The student response contains insufficient evidence of an understanding of the Numbers and Operations—Fractions concepts involved in applying and extending the previous understandings of multiplication to multiply a fraction or whole number by a fraction to merit any points.

Note: There are 2 sample student responses for Score Point 4.