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Massachusetts Comprehensive Assessment System

2014, Grade 6 Mathematics

  Question 7: Open-Response no calculator allowed
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)
18 miles12 miles
216 miles24 miles
324 miles36 miles
4? miles48 miles
540 miles60 miles
  1. 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.
  2. 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.
  3. Gasoline costs $4 per gallon and diesel costs $5 per gallon. Which truck will have a lower fuel cost for a 24-mile 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.

ScoreDescription
4 The student response demonstrates an exemplary understanding of the Ratios and Proportional Relationships concepts involved in using ratio and rate reasoning to solve real-world 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 real-world 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 real-world 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 real-world 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 real-world 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: November 30, 2016
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