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Massachusetts Comprehensive Assessment System

2015, Grade 10 Mathematics

  Question 36: Open-Response calculator allowed
The table below shows the numbers of students enrolled in different science classes at a high school.
Number of Students Enrolled
in Science Classes
 
Science Class  Number of Students 
 biology240
 environmental science  285
 earth science300
 physics195
 chemistry
There are a total of 1200 students enrolled in science classes at the high school. Each student is enrolled in only one science class.
  1. What is the total number of students enrolled in chemistry class? Show or explain how you got your answer.
  1. What percent of the total number of students enrolled in science classes are enrolled in chemistry class? Show or explain how you got your answer.
A guidance counselor at the high school made a circle graph based on the information in the table. The central angle of one sector of the circle graph measures 90°.
  1. Which science class is represented by the sector of the circle graph that has a central angle that measures 90°? Show or explain how you got your answer.
  1. What is the degree measure of the central angle of the sector of the circle graph that represents the number of students in biology class? 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 Statistics and Probability concepts involved in reading and interpreting circle graphs. The student uses a table of information to determine the angle measurements of different sectors of a circle graph.
4
3 The student response demonstrates a good understanding of the Statistics and Probability concepts involved in reading and interpreting circle graphs. 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 Statistics and Probability concepts involved in reading and interpreting circle graphs. 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 Statistics and Probability concepts involved in reading and interpreting circle graphs.
0 The student response contains insufficient evidence of an understanding of the Statistics and Probability concepts involved in reading and interpreting circle graphs to merit any points.

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

Grade 10 Mathematics

Question 17: Number and Quantity
Question 20: Geometry
Question 21: Algebra and Functions
Question 36: Statistics and Probability
Question 41: Algebra and Functions
Question 42: Geometry

Return to the MCAS 2015 Student Work Directory



Last Updated: October 20, 2017
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