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# Massachusetts Comprehensive Assessment System

 Question 5: 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.] Jean put  cup of yogurt on top of each bowl of fruit she made. She made 10 bowls of fruit.Write an expression that shows the amount, in cups, of yogurt that Jean put on all 10 bowls of fruit.In your Student Answer Booklet, draw a fraction model to show the amount, in cups, of yogurt that Jean put on all 10 bowls of fruit.Each bowl Jean made contained  cup of fruit.What is the total number of cups of fruit in all 10 bowls Jean made? Write your answer as a mixed number. Show your work.

### 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 solves a real-world problem involving multiplication of fractions and whole numbers and draws a model to illustrate the problem.
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.