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Massachusetts Comprehensive Assessment System

2015, Grade 6 Mathematics

  Question 6: Open-Response no calculator allowed
Lily wrote the expression shown in the box below.
six x minus three
  1. What is the coefficient of the variable in Lily’s expression?
  1. What is the value of Lily’s expression when x equals five. Show or explain how you got your answer.
Pedro wrote an expression that is equivalent to the statement shown in the box below.
8 more than the difference of 2x and 1
  1. What could be the expression that Pedro wrote?
  1. What is the difference of the value of Lily’s expression when x equals 5 and the value of Pedro’s expression when x equals 5? 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 Expressions and Equations concepts involved in writing, reading, and evaluating expressions in which letters stand for numbers. The student identifies the coefficient of a term, writes an expression from a verbal description, and evaluates expressions.
4
3 The student response demonstrates a good understanding of the Expressions and Equations concepts involved in writing, reading, and evaluating expressions in which letters stand for numbers. 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 Expressions and Equations concepts involved in writing, reading, and evaluating expressions in which letters stand for numbers. 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 a minimal understanding of the Expressions and Equations concepts involved in writing, reading, and evaluating expressions in which letters stand for numbers.
0 The student response contains insufficient evidence of an understanding of the Expressions and Equations concepts involved in writing, reading, and evaluating expressions in which letters stand for numbers to merit any points.

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

Grade 6 Mathematics

Question 6: Expressions and Equations
Question 17: Statistics and Probability

Return to the MCAS 2015 Student Work Directory



Last Updated: January 29, 2015
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