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# Massachusetts Comprehensive Assessment System

 Question 21: Open-Response Reporting Category: Measurement and DataStandard: Mathematics.4.MD.1.03 - Apply the area and perimeter formulas for rectangles in real- world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. The length and width of a field are shown in the diagram below. What is the perimeter, in feet, of the field? Show or explain how you got your answer.What is the area, in square feet, of the field? Show or explain how you got your answer.Both the length and the width of the field will be increased by 10 feet.What will be the new area, in square feet, of the field? Show or explain how you got your answer.

### Scoring Guide and Sample Student WorkSelect 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 and Data concepts involved in applying the area and perimeter formulas for rectangles in real-world problems. Given dimensions, the student determines perimeter and area, and the new area when the dimensions are changed.
4
3 The student response demonstrates a good understanding of the Measurement and Data concepts involved in applying the area and perimeter formulas for rectangles in 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 Measurement and Data concepts involved in applying the area and perimeter formulas for rectangles in 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 Measurement and Data concepts involved in applying the area and perimeter formulas for rectangles in real-world problems.
0 The student response contains insufficient evidence of an understanding of the Measurement and Data concepts involved in applying the area and perimeter formulas for rectangles in real-world problems to merit any points.

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