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Massachusetts Comprehensive Assessment System

2012, Grade 4 Mathematics

  Question 7: Open-Response no calculator allowed
Chet shaded part of the two large rectangles shown below.
Two rectangles, each divided into 4 equal parts. The entire first rectangle is shaded. Two parts of the second rectangle are shaded. There is a key that shows when all 4 parts of a rectangle are shaded it represents 1.
  1. Write a fraction that represents the shaded part of the two large rectangles.
  2. Write a different number that is equivalent to the fraction you wrote in part (a). Show or explain how you got your answer.
  3. In your Student Answer Booklet, draw and shade a picture of rectangles that represents the number two one over three. 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 Number Sense and Operations concepts involved in using models to represent mixed numbers and find equivalent fractions.
4
3 The student response demonstrates a good understanding of the Number Sense and Operations concepts involved in using models to represent mixed numbers and find equivalent fractions.  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 Number Sense and Operations concepts involved in using models to represent mixed numbers and find equivalent fractions. 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 Number Sense and Operations concepts involved in using models to represent mixed numbers and find equivalent fractions.
0 The student response contains insufficient evidence of an understanding of the Number Sense and Operations concepts involved in using models to represent mixed numbers and find equivalent fractions to merit any points.

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

Grade 4 Mathematics

Question 7: Number Sense and Operations
Question 19: Measurement

Return to the MCAS 2012 Student Work Directory



Last Updated: April 22, 2008
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