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Massachusetts Comprehensive Assessment System

2012, Grade 4 Mathematics

  Question 19: Open-Response no calculator allowed
You may use your MCAS ruler to answer question 19.
Marty drew a rectangle on a grid. He shaded the rectangle, as shown below.
There is a six by nine grid. A two by six rectangle is shaded on the grid. The length and width of a square on the grid is one centimeter. A think bubble states: Perimeter is the distance around a shape.
  1. What is the perimeter, in centimeters, of Marty’s rectangle? Show or explain how you got your answer.
  2. What is the area, in square centimeters, of Marty’s rectangle? Show or explain how you got your answer.
  3. 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.
  4. 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.

ScoreDescription
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: June 28, 2016
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