




Massachusetts Comprehensive Assessment System
2013, Grade 7 Mathematics
Question 21: OpenResponse 

Reporting Category: Ratios and Proportional Relationships Standard: 7.N.2  Use ratios and proportions in the solution of problems involving unit rates, scale drawings, and reading of maps. Standard: Mathematics.7.RP.1.03  Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Billy left home at 9 a.m. and rode his bicycle to the park at an average speed of 10 miles per hour. He arrived at the park at 9:30 a.m. How many miles from the park is Billy’s home? Show or explain how you got your answer.
Derrick lives 3 miles from the park. He rode his bicycle to the park at an average speed of 9 miles per hour. How many minutes did it take Derrick to ride his bicycle to the park? Show or explain how you got your answer.
Juan lives 2.5 miles from the park. It took him 12 minutes to ride his bicycle to the park. What was Juan’s average speed, in miles per hour, while riding his bicycle to the park? 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 Ratios and Proportional Relationships concepts involved in using proportional relationships to solve multistep ratio and percent problems. The student uses proportional relationships in three different situations to solve for either distance, time, or rate. 
4 
3 
The student response demonstrates a good understanding of the Ratios and Proportional Relationships concepts involved in using proportional relationships to solve multistep ratio and percent problems. 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 Ratios and Proportional Relationships concepts involved in using proportional relationships to solve multistep ratio and percent problems. 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 Ratios and Proportional Relationships concepts involved in using proportional relationships to solve multistep ratio and percent problems. 
0 
The student response contains insufficient evidence of an understanding of the Ratios and Proportional Relationships concepts involved in using proportional relationships to solve multistep ratio and percent problems to merit any points. 
Note: There are 2 sample student responses for Score Point 4.
Grade 7 Mathematics
 Question 7: Expressions and Equations
 Question 21: Ratios and Proportional Relationships
Return to the MCAS 2013 Student Work Directory
Last Updated: February 5, 2016


