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Massachusetts Comprehensive Assessment System

2012, Grade 7 Mathematics

  Question 11: Open-Response no calculator allowed
The first five terms in a number pattern are shown below.7,    10,    13,    16,    19The pattern continues using the same rule.
  1. What is the next term in the pattern? Show or explain how you got your answer.
  2. What is the 20th term in the pattern? Show or explain how you got your answer.
  3. Write an expression that can be used to find the value of the nth term in the pattern.

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 Patterns, Relations, and Algebra concepts involved in extending and analyzing patterns. The student identifies designated terms in a pattern and then creates an expression that represents any term in the pattern.
4
3 The student response demonstrates a good understanding of the Patterns, Relations, and Algebra concepts involved in extending and analyzing patterns. 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 Patterns, Relations, and Algebra concepts involved in extending and analyzing patterns. 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 Patterns, Relations, and Algebra concepts involved in extending and analyzing patterns.
0 The student response contains insufficient evidence of an understanding of the Patterns, Relations, and Algebra concepts involved in extending and analyzing patterns to merit any points.

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

Grade 7 Mathematics

Question 8: Geometry
Question 11: Patterns, Relations, and Algebra

Return to the MCAS 2012 Student Work Directory



Last Updated: September 16, 2016
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