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Massachusetts Comprehensive Assessment System

2015, Grade 7 Mathematics

  Question 21: Open-Response calculator allowed
A box of chocolate chip cookies is in the shape of a rectangular prism. The rectangular bottom of the box is 10 inches long and 3 inches wide.
  1. What is the area, in square inches, of the bottom of the cookie box? Show or explain how you got your answer.
  1. The height of the cookie box is 8 inches. What is the volume, in cubic inches, of the box? Show or explain how you got your answer.
  1. A box of oatmeal cookies is also in the shape of a rectangular prism. It has the same length and width as the box of chocolate chip cookies, but it has a volume of 210 cubic inches. What is the height of the box of oatmeal cookies? 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 Geometry concepts involved in solving real-world and mathematical problems involving area and volume of two-dimensional objects composed of quadrilaterals, polygons, cubes, and right prisms. The student will find the height of a rectangular prism, given the length, width, and volume.
4
3 The student response demonstrates a good understanding of the Geometry concepts involved in solving real-world and mathematical problems involving area and volume of two-dimensional objects composed of quadrilaterals, polygons, cubes, and right prisms. 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 demonstrates a fair understanding of the Geometry concepts involved in solving real-world and mathematical problems involving area and volume of two-dimensional objects composed of quadrilaterals, polygons, cubes, and right prisms. 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 and mathematical problems involving area and volume of two-dimensional objects composed of quadrilaterals, polygons, cubes, and right prisms.
0 The student response contains insufficient evidence of an understanding of the Geometry concepts involved in solving real-world and mathematical problems involving area and volume of two-dimensional objects composed of quadrilaterals, polygons, cubes, and right prisms to merit any points.

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

Grade 7 Mathematics

Question 10: Ratios and Proportional Relationships
Question 21: Geometry

Return to the MCAS 2015 Student Work Directory



Last Updated: September 27, 2017
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