




Massachusetts Comprehensive Assessment System
2012, Grade 8 Mathematics
Question 10: OpenResponse 

Reporting Category: Number Sense and Operations Standard: 8.N.12  Select and use appropriate operations—addition, subtraction, multiplication, division, and positive integer exponents—to solve problems with rational numbers (including negatives). 
One lap around a track is mile. On Monday, Stacy ran 11 laps. What was the total number of miles that Stacy ran on Monday? Show or explain how you got your answer.
 It took Stacy hour to run 11 laps on Monday. What was Stacy’s average speed, in miles per hour, on Monday? Show or explain how you got your answer.
 Stacy’s goal is to run at an average speed of 1 mile per 10 minutes. What is the number of laps that she must run in hour to reach her goal? 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 multiplies a fraction by a whole number, multiplies a whole number by a mixed number, and then divides a whole number by a fraction. 
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 8 Mathematics
 Question 10: Number Sense and Operations
 Question 21: Data Analysis, Statistics, and Probability
Return to the MCAS 2012 Student Work Directory
Last Updated: November 20, 2001


