




Massachusetts Comprehensive Assessment System
2011, Grade 5 Mathematics
Question 8: OpenResponse 

Reporting Category: Measurement Standard: 5.M.1  Apply the concepts of perimeter and area to the solution of problems involving triangles and rectangles. Apply formulas where appropriate. 
Kiesha is decorating her bedroom. She wants to put ribbon around the picture shown below. The picture is in the shape of an equilateral triangle. What is the perimeter, in inches, of the picture? Show or explain how you got your answer.
Kiesha plans to cover one wall of her bedroom with wallpaper. The wall is in the shape of a rectangle. The dimensions of the wall are 13 feet by 9 feet. What is the area, in square feet, of the wall? Show or explain how you got your answer.
Kiesha plans to carpet the floor of her bedroom. A diagram of the floor is shown below.  What is the area, in square feet, of the floor? 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 Measurement concepts involved in applying the concepts of area and perimeter to the solution of problems involving triangles and rectangles. The student finds the perimeter of an equilateral triangle when given the measurement of one side; finds the area of a rectangle, and finds the area of a nonstandard figure composed of two rectangles. 
4 
3 
The student response demonstrates a good understanding of the Measurement concepts involved in applying the concepts of area and perimeter to the solution of problems involving triangles and 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 fair understanding of the Measurement concepts involved in applying the concepts of area and perimeter to the solution of problems involving triangles and 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 only minimal understanding of the Measurement concepts involved in applying the concepts of area and perimeter to the solution of problems involving triangles and rectangles. 
0 
The student response contains insufficient evidence of an understanding of the Measurement concepts involved in applying the concepts of area and perimeter to the solution of problems involving triangles and rectangles to merit any points. 
Note: There are 2 sample student responses for Score Point 4.
Grade 5 Mathematics
 Question 8: Measurement
 Question 21: Data Analysis, Statistics, and Probability
Return to the MCAS 2011 Student Work Directory
Last Updated: January 11, 2017


