State of New Jersey Department of Education

STANDARD 4.1 (NUMBER AND NUMERICAL OPERATIONS): by Grade 3

SAMPLE TEST QUESTION

Measuring Geometric Objects [4.1.3.E.1] [Open-ended Question]

Carefully examine each of the three rectangles shown below.

  • Compute the perimeter of each rectangle.
  • Determine which rectangle has the greatest area.

Show your work and clearly explain your answer.

Scoring rubric

3 points
The response shows complete understanding of the problem's essential mathematical concepts by correctly computing the perimeters and identifying that rectangle C has the greatest area. The area can be stated in terms of rectangle C having more squares than rectangles A or B. The response does not have to state the area as 32 square units. The response contains a clear, effective explanation detailing how the problem was solved.

2 points
The response shows nearly complete understanding of the problem's essential mathematical concepts. The student will correctly compute the perimeter and determine the area of a majority of the rectangles shown. The response may contain minor mathematical errors in computation, but will demonstrate a clear understanding of the concepts of perimeter and area. The explanation detailing how the problem was solved may not be clear, and may cause the reader to make inferences.

1 point
The response shows limited understanding of the problem's essential mathematical concepts by incorrectly computing the perimeter and area of the majority of the rectangles shown. The explanation may be missing or may clearly demonstrate the student does not understand the concepts of perimeter and area.

0 point
The response shows insufficient understanding of the problem's essential mathematical concepts. The procedures, if any, will contain major errors. The explanation, if offered, will be unclear, incorrect, or irrelevant.