Massachusetts Comprehensive Assessment System

2019, Grade 3 Mathematics

Question 6: Constructed-Response

Reporting Category: Measurement and Data
Standard: Mathematics.3.MD.D.08 - Solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
Item Description: Determine the perimeter of a square and then determine a length and a width of a rectangle with the same perimeter as the square, but with different dimensions.

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Scoring Guide and Sample Student Work

Select a score point in the table below to view the sample student response.

Score	Description
3	The student response demonstrates an exemplary understanding of the Measurement and Data concepts involved in solving real-world problems involving perimeters of polygons, including finding perimeter, given side lengths, and exhibiting rectangles with the same perimeter and different areas. The student correctly determines the perimeter of a rectangle and finds the length and width of another rectangle with the same perimeter but different dimensions.
3
2	The student response demonstrates a good understanding of the Measurement and Data concepts involved in solving real-world problems involving perimeters of polygons, including finding perimeter, given side lengths, and exhibiting rectangles with the same perimeter and different areas. 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 2 points.
1	The student response demonstrates a minimal understanding of the Measurement and Data concepts involved in solving real-world problems involving perimeters of polygons, including finding perimeter, given side lengths, and exhibiting rectangles with the same perimeter and different areas. While some aspects of the task are completed correctly, others are not. The mixed evidence provided by the student merits 1 point.
0	The student response contains insufficient evidence of an understanding of the Measurement and Data concepts involved in solving real-world problems involving perimeters of polygons, including finding perimeter, given side lengths, and exhibiting rectangles with the same perimeter and different areas to merit any points.

Note: There are 2 sample student responses for Score Point 3.

Grade 3 Mathematics

Question 6: Measurement and Data

Question 15: Operations and Algebraic Thinking

Return to the MCAS 2019 Student Work Directory

Last Updated: May 5, 2020