




Massachusetts Comprehensive Assessment System
2016, Grade 4 Mathematics
Question 10: OpenResponse 

Reporting Category: Number and OperationsFractions Standard: 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 Work Select a score point in the table below to view the sample student response.
Score  Description 
4 
The student response demonstrates an exemplary understanding of the Number and OperationsFractions 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 OperationsFractions 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 OperationsFractions 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 OperationsFractions 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 OperationsFractions 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.
Grade 4 Mathematics
 Question 5: Operations and Algebraic Thinking
 Question 10: Number and OperationsFractions
Return to the MCAS 2016 Student Work Directory
Last Updated: September 11, 2017


