




Massachusetts Comprehensive Assessment System
2011, Grade 7 Mathematics
Question 9: OpenResponse 

Reporting Category: Number Sense and Operations Standard: 7.N.9  Select and use appropriate operations—addition, subtraction, multiplication, division, and positive integer exponents—to solve problems with rational numbers (including negatives). This standard is intentionally the same as standard 8.N.12.

Vic is moving, and he needs to hire a moving company. The rates for Manny’s Movers and Jiffy Move are shown below. Vic is moving a distance of 200 miles. It will take the movers a total of 8 hours of labor.  What amount, in dollars, would Manny’s Movers charge Vic for mileage? Show or explain how you got your answer.
 What amount, in dollars, would Manny’s Movers charge Vic for both labor and mileage? Show or explain how you got your answer.
 Vic decides to move on a Wednesday. Which moving company would charge him the least amount for his move? 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 Sense and Operations concepts involved in selecting and using appropriate operations to solve problems with rational numbers. The student computes the total price for a service that includes a discount and compares it to another total price. 
4 
3 
The student response demonstrates a good understanding of the Number Sense and Operations concepts involved in selecting and using appropriate operations to solve problems with rational numbers. 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 Number Sense and Operations concepts involved in selecting and using appropriate operations to solve problems with rational numbers. 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 Number Sense and Operations concepts involved in selecting and using appropriate operations to solve problems with rational numbers. 
0 
The student response contains insufficient evidence of an understanding of the Number Sense and Operations concepts involved in selecting and using appropriate operations to solve problems with rational numbers to merit any points. 
Note: There are 2 sample student responses for Score Point 4.
Grade 7 Mathematics
 Question 9: Number Sense and Operations
 Question 20: Data Analysis, Statistics, and Probability
Return to the MCAS 2011 Student Work Directory
Last Updated: May 15, 2012


