




Massachusetts Comprehensive Assessment System
2014, Grade 6 Mathematics
Question 7: OpenResponse 

Reporting Category: Ratios and Proportional Relationships Standard: Mathematics.6.RP.1.03  Use ratio and rate reasoning to solve realworld and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. 
A dairy farmer uses two trucks to deliver milk. The two trucks use different kinds of fuel. Truck A uses gasoline and Truck B uses diesel. The table below shows the distance, in miles, that each truck can travel per gallon of fuel. Miles Traveled per Gallon of Fuel Gallons of Fuel  Truck A (Gasoline)  Truck B (Diesel)  1  8 miles  12 miles  2  16 miles  24 miles  3  24 miles  36 miles  4  ? miles  48 miles  5  40 miles  60 miles   Based on the table, what is the total number of miles Truck A can travel using 4 gallons of gasoline? Show or explain how you got your answer.
 Based on the table, what is the total number of gallons of diesel Truck B will use to travel 132 miles? Show or explain how you got your answer.
 Gasoline costs $4 per gallon and diesel costs $5 per gallon. Which truck will have a lower fuel cost for a 24mile trip? 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 ratio and rate reasoning to solve realworld problems. The student finds the missing value in a table of equivalent ratios and uses the information in the table to solve a problem. 
4 
3 
The student response demonstrates a good understanding of the Ratios and Proportional Relationships concepts involved in using ratio and rate reasoning to solve realworld 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 ratio and rate reasoning to solve realworld 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 ratio and rate reasoning to solve realworld problems. 
0 
The student response contains insufficient evidence of an understanding of the Ratios and Proportional Relationships concepts involved in using ratio and rate reasoning to solve realworld problems to merit any points. 
Note: There are 2 sample student responses for Score Point 4.
Grade 6 Mathematics
 Question 7: Ratios and Proportional Relationships
 Question 13: Statistics and Probability
Return to the MCAS 2014 Student Work Directory
Last Updated: April 20, 2018


