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# Massachusetts Comprehensive Assessment System

 Question 10: Open-Response Reporting Category: Number and Operations-FractionsStandard: Mathematics.4.NF.2.04 - Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.  [Note: Grade 4 expectations in this domain are limited to fractions with denominators 2,3,4,5,6,8,10, 12, and 100.] Erin uses  yard of string to make 1 bracelet. Erin will make 6 bracelets.How many yards of string will Erin use to make 6 bracelets? Show or explain how you got your answer.Erin uses  yard of string to make 1 necklace. Erin will make 5 necklaces.How many yards of string will Erin use to make 5 necklaces? Show or explain how you got your answer.The total number of yards of string Erin will use for 6 bracelets and 5 necklaces is between what two whole numbers? 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 Number and Operations-Fractions concepts involved in applying and extending previous understandings of multiplication to multiply a fraction by a whole number. The student multiplies fractions by whole numbers and determines between which two whole numbers the sum of two fractions lies.
4
3 The student response demonstrates a good understanding of the Number and Operations-Fractions concepts involved in applying and extending previous understandings of multiplication to multiply a fraction by a whole number. 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 Number and Operations-Fractions concepts involved in applying and extending previous understandings of multiplication to multiply a fraction by a whole number. 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 a minimal understanding of the Number and Operations-Fractions concepts involved in applying and extending previous understandings of multiplication to multiply a fraction by a whole number.
0 The student response contains insufficient evidence of an understanding of the Number and Operations-Fractions concepts involved in applying and extending previous understandings of multiplication to multiply a fraction by a whole number to merit any points.

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