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Massachusetts Comprehensive Assessment System

2015, Grade 4 Mathematics

  Question 10: Open-Response no calculator allowed
For this question, you will draw three shapes on the grid in your Student Answer Booklet.
  1. On the grid in your Student Answer Booklet, draw a parallelogram. Label your parallelogram A.
  1. On the grid in your Student Answer Booklet, draw a triangle that has two sides that are perpendicular to each other.
  • Label your triangle B
  • Put an X on each of the sides that are perpendicular. 
  • Explain how you know the sides you labeled X are perpendicular.
  1. On the grid in your Student Answer Booklet, draw a shape that has at least one pair of parallel sides, at least one pair of perpendicular sides, and only two right angles. Label your shape C.
  1. What is the mathematical name of the shape you drew in part (c)?

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 Geometry concepts involved in classifying two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. The student draws figures to match given properties and identifies the perpendicular sides of a figure.
4
3 The student response demonstrates a good understanding of the Geometry concepts involved in classifying two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. 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 Geometry concepts involved in classifying two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. 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 Geometry concepts involved in classifying two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size.
0 The student response contains insufficient evidence of an understanding of the Geometry concepts involved in classifying two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size to merit any points.

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

Grade 4 Mathematics

Question 10: Geometry
Question 21: Measurement and Data

Return to the MCAS 2015 Student Work Directory



Last Updated: September 27, 2017
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