Mass.gov
Massachusetts Department of Elementary and Secondary Education
Go to Selected Program Area
Massachusetts State Seal
News School/District Profiles School/District Administration Educator Services Assessment/Accountability Family & Community  
 Student Assessment  Accountability, Partnership, & Assistance  Compliance/Monitoring >  
>
>
>
 
 
 
 
 
 
 
 
 
 
>
>
>
>
>
>
>

Massachusetts Comprehensive Assessment System

2012, Grade 10 Mathematics

  Question 42: Open-Response calculator allowed
A monument in the shape of a right square pyramid is located in a park. The park is in the shape of a rectangle. The measurements of the monument and the park are shown in the diagram below.
A right square pyramid situated on a rectangle. An arrow refers to the right square pyramid as Monument and another arrow refers to the rectangle as Park. The pyramid has a square base with sides of twenty meters and a slant height of twenty six meters. The rectangle has a length of forty five meters and a width of thirty meters.
  1. What is the area, in square meters, of the base of the monument? Show or explain how you got your answer.
  2. What is the area, in square meters, of the park, not including the base of the monument? Show or explain how you got your answer.
  3. What is the lateral surface area, in square meters, of the monument? Show or explain how you got your answer.
The height of the monument is 24 meters.
  1. What is the volume, in cubic meters, of the monument? 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 lateral area, surface area, and volume of pyramids.
4
3 The student response demonstrates a good understanding of the Measurement concepts involved in finding the lateral area, surface area, and volume of pyramids. 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 fair understanding of the Measurement concepts involved in finding the lateral area, surface area, and volume of pyramids. 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 only minimal understanding of the Measurement concepts involved in finding the lateral area, surface area, and volume of pyramids.
0 The student response contains insufficient evidence of an understanding of the Measurement concepts involved in finding the lateral area, surface area, and volume of pyramids to merit any points.

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

Grade 10 Mathematics

Question 17: Patterns, Relations, and Algebra
Question 20: Data Analysis, Statistics, and Probability
Question 21: Number Sense and Operations
Question 31: Data Analysis, Statistics, and Probability
Question 41: Patterns, Relations, and Algebra
Question 42: Measurement

Return to the MCAS 2012 Student Work Directory



Last Updated: August 24, 2015
E-mail this page| Print View| Print Pdf  
Massachusetts Department of Elementary and Secondary Education Search · Site Index · Policies · Site Info · Contact ESE