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# Massachusetts Comprehensive Assessment System

 Question 20: Open-Response Reporting Category: GeometryStandard: 10.M.1 - Calculate perimeter, circumference, and area of common geometric figures such as parallelograms, trapezoids, circles, and triangles.Standard: Mathematics.7.G.2.06 - Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. A puzzle in the shape of a rectangle has six pieces. The puzzle and some of its dimensions are shown in the diagram below.What is the perimeter, in inches, of the puzzle? Show or explain how you got your answer.The shape of each piece of the puzzle is listed below.Pieces R and O are trapezoids.Pieces Y and G are rectangles.Piece B is a parallelogram.Piece P is a triangle.What is the area, in square inches, of piece B? Show or explain how you got your answer.What is the area, in square inches, of piece R? Show or explain how you got your answer.What is the area, in square inches, of piece P? Show or explain how you got your answer.

### Scoring Guide and Sample Student WorkSelect a score point in the table below to view the sample student response.

ScoreDescription
4 The student response demonstrates an exemplary understanding of the Geometry concepts involved in solving real-world problems involving area of two-dimensional objects composed of triangles and quadrilaterals. The student determines the perimeter of a rectangular puzzle and calculates the area of parallelogram-, trapezoid-, and triangle-shaped pieces.
4
3 The student response demonstrates a good understanding of the Geometry concepts involved in solving real-world problems involving area of two-dimensional objects composed of triangles and quadrilaterals. 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 Geometry concepts involved in solving real-world problems involving area of two-dimensional objects composed of triangles and quadrilaterals. 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 Geometry concepts involved in solving real-world problems involving area of two-dimensional objects composed of triangles and quadrilaterals.
0 The student response contains insufficient evidence of an understanding of the Geometry concepts involved in solving real-world problems involving area of two-dimensional objects composed of triangles and quadrilaterals to merit any points.

Note: There are 2 sample student responses for Score Point 4.

Question 17:
Question 20:
Question 21:
Question 36:
Question 41:
Question 42: