Massachusetts Comprehensive Assessment System
2011, Grade 6 Mathematics
Question 17: OpenResponse 

Reporting Category: Patterns, Relations, and Algebra Standard: 6.P.5  Solve linear equations using concrete models, tables, graphs, and paperpencil methods.

Paige, Rosie, and Cheryl each spent exactly $9.00 at the same snack bar. Paige bought 3 bags of peanuts.
 Rosie bought 2 bags of peanuts and 2 pretzels.
 Cheryl bought 1 bag of peanuts, 1 pretzel, and 1 milk shake.
 What is the cost, in dollars, of 1 bag of peanuts? Show or explain how you got your answer.
 What is the cost, in dollars, of 1 pretzel? Show or explain how you got your answer.
 What is the total number of pretzels that can be bought for the cost of 1 milk shake? 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 Patterns, Relations, and Algebra concepts involved in solving linear equations using concrete models, tables, and paperpencil methods. The student uses his or her solution to solve a problem. 
4 
3 
The student response demonstrates a good understanding of the Patterns, Relations, and Algebra concepts involved in solving linear equations using concrete models, tables, and paperpencil methods. 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 fair understanding of the Patterns, Relations, and Algebra concepts involved in solving linear equations using concrete models, tables, and paperpencil methods. 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 minimal understanding of the Patterns, Relations, and Algebra concepts involved in solving linear equations using concrete models, tables, and paperpencil methods. 
0 
The student response contains insufficient evidence of an understanding of the Patterns, Relations, and Algebra concepts involved in solving linear equations using concrete models, tables, and paperpencil methods to merit any points. 
Note: There are 2 sample student responses for Score Point 4.
Grade 6 Mathematics
 Question 10: Measurement
 Question 17: Patterns, Relations, and Algebra
Return to the MCAS 2011 Student Work Directory
Last Updated: November 9, 2010
