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Massachusetts Comprehensive Assessment System

2012, Grade 6 Mathematics

  Question 12: Open-Response no calculator allowed
Jan is using a map to plan a two-day hiking trip. The scale for the map she is using is shown below.
Scale
1 inch : one-half mile
  1. The distance that Jan will hike on the first day is equal to 12 inches on the map. What is the actual distance, in miles, that Jan will hike on the first day? Show or explain how you got your answer.
  2. The actual distance that Jan will hike on the second day is five one over two miles. What distance on the map, in inches, represents five one over two miles? Show or explain how you got your answer.
  3. Based on the scale Jan used, how many feet are represented by 1 inch on the map? Show or explain how you got your answer. (1 mile = 5280 feet)

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 Measurement concepts involved in solving problems involving proportional relationships and units of measurement in scale models. The student uses the scale on a map to solve problems.
4
3 The student response demonstrates a good understanding of the Measurement concepts involved in solving problems involving proportional relationships and units of measurement in scale models. 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 Measurement concepts involved in solving problems involving proportional relationships and units of measurement in scale models. 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 Measurement concepts involved in solving problems involving proportional relationships and units of measurement in scale models.
0 The student response contains insufficient evidence of an understanding of the Measurement concepts involved in solving problems involving proportional relationships and units of measurement in scale models to merit any points.

Note: There are 2 sample student responses for Score Point 4.

Grade 6 Mathematics

Question 12: Measurement
Question 18: Number Sense and Operations

Return to the MCAS 2012 Student Work Directory



Last Updated: December 1, 2016
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