




Massachusetts Comprehensive Assessment System
2012, Grade 4 Mathematics
Question 19: 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.
Standard: 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.

You may use your MCAS ruler to answer question 19. Marty drew a rectangle on a grid. He shaded the rectangle, as shown below.  What is the perimeter, in centimeters, of Marty’s rectangle? Show or explain how you got your answer.
 What is the area, in square centimeters, of Marty’s rectangle? Show or explain how you got your answer.
 In your Student Answer Booklet, draw a rectangle that has the same perimeter as Marty’s rectangle but a different area. Use numbers to label the length and the width of your rectangle.
 What is the area, in square centimeters, of the rectangle you drew in part (c)? 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 finding the area and perimeter of a rectangle using diagrams, models, and grids or by measuring. The student determines the perimeter and area of a figure on a grid and creates a new figure with the same perimeter but a different area as the given one. 
4 
3 
The student response demonstrates a good understanding of the Measurement concepts involved in finding the area and perimeter of a rectangle using diagrams, models, and grids or by measuring. 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 a rectangle using diagrams, models, and grids or by measuring. 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 a rectangle using diagrams, models, and grids or by measuring. 
0 
The student response contains insufficient evidence of an understanding of the Measurement concepts involved in finding the area and perimeter of a rectangle using diagrams, models, and grids or by measuring. 
Note: There are 2 sample student responses for Score Point 4.
Grade 4 Mathematics
 Question 7: Number Sense and Operations
 Question 19: Measurement
Return to the MCAS 2012 Student Work Directory
Last Updated: December 30, 2016


