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# Massachusetts Comprehensive Assessment System

## 2011, Grade 6 Mathematics

 Question 10: Open-Response Reporting Category: MeasurementStandard: 6.M.1 - Apply the concepts of perimeter and area to the solution of problems. Apply formulas where appropriate. Kelsey has a rug in the center of her bedroom floor. Both the floor and the rug are in the shape of a rectangle. The rug, the floor, and some of their dimensions are shown in the diagram below.What is the area, in square feet, of the entire floor? Show or explain how you got your answer.What is the perimeter, in feet, of the rug? Show or explain how you got your answer.What is the area, in square feet, of the part of the floor that is not covered by the rug? 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 concepts involved in applying the concepts of perimeter and area to the solutions of problems involving rectangles. The student finds the missing dimension and area of a complex shape.
4
3
The student response demonstrates a good understanding of the Measurement concepts involved in applying the concepts of perimeter and area to the solutions of problems involving rectangles. 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 applying the concepts of perimeter and area to the solutions of problems involving rectangles. 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 applying the concepts of perimeter and area to the solutions of problems involving rectangles.
0
The student response contains insufficient evidence of an understanding of the Measurement concepts involved in applying the concepts of perimeter and area to the solutions of problems involving rectangles to merit any points.

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

### Grade 6 Mathematics

Question 10:
Question 17:

Return to the MCAS 2011 Student Work Directory

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