




Massachusetts Comprehensive Assessment System
2011, Grade 4 Mathematics
Question 18: OpenResponse 

Reporting Category: Measurement Standard: 4.M.4  Estimate and find area and perimeter of a rectangle, triangle, or irregular shape using diagrams, models, and grids or by measuring.

A diagram of John’s garden and the length of one side are shown on the grid below.  What is the perimeter, in units, of John’s garden? Show your work or explain how you got your answer.
John’s sister, Kara, also has a garden. The diagram below shows Kara’s garden. What is the area, in square units, of Kara’s garden? Show your work or explain how you got your answer.
 Whose garden has a bigger area? Explain how you know your answer is correct.

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 finding the area and perimeter of an irregular shape by using grids. The student uses a grid to find the perimeter of a trapezoid and the area of a pentagon and then compares the area of the two figures. 
4 
3 
The student response demonstrates a good understanding of the Measurement concepts involved in finding the area and perimeter of an irregular shape by using grids. 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 finding the area and perimeter of an irregular shape by using grids. 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 finding the area and perimeter of an irregular shape by using grids. 
0 
The student response contains insufficient evidence of an understanding of the Measurement concepts involved in finding the area and perimeter of an irregular shape by using grids. 
Note: There are 2 sample student responses for Score Point 4.
Grade 4 Mathematics
 Question 7: Number Sense and Operations
 Question 18: Measurement
Return to the MCAS 2011 Student Work Directory
Last Updated: September 7, 2010


