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Massachusetts Comprehensive Assessment System

2012, Grade 5 Mathematics

  Question 21: Open-Response no calculator allowed
Abe stacked boxes onto a truck. Each box he stacked had the same weight. The table below shows the total weight for different numbers of boxes.
Total Weight of Boxes
Number of
Boxes
Total Weight
(in pounds)
250
4100
6150
  1. What is the total weight, in pounds, of 8 boxes? Show or explain how you got your answer.
  2. Based on the table, write or describe a rule that can be used to find the weight of n boxes, where n is any number of boxes.
  3. Is it possible for the total weight of the boxes Abe stacked onto the truck to be exactly 520 pounds? 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 Patterns, Relations, and Algebra concepts involved in representing real situations and mathematical relationships with tables and with rules using words and symbols. The student determines if a scenario is possible based on a model of a real situation.
4
3 The student response demonstrates a good understanding of the Patterns, Relations, and Algebra concepts involved in representing real situations and mathematical relationships with tables and with rules using words and symbols. 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 representing real situations and mathematical relationships with tables and with rules using words and symbols. 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 representing real situations and mathematical relationships with tables and with rules using words and symbols.
0 The student response contains insufficient evidence of an understanding of the Patterns, Relations, and Algebra concepts involved in representing real situations and mathematical relationships with tables and with rules using words and symbols to merit any points.

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

Grade 5 Mathematics

Question 5: Number Sense and Operations
Question 21: Patterns, Relations, and Algebra

Return to the MCAS 2012 Student Work Directory



Last Updated: July 11, 2014
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