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Massachusetts Comprehensive Assessment System

2014, Grade 8 Mathematics

  Question 20: Open-Response calculator allowed
Pentagon PQRST is shown on the coordinate grid below.
A coordinate grid with x- and y-axis ranging from negative 9 to 9. Pentagon PQRST is drawn in the upper left quadrant of the grid.
On the grid in your Student Answer Booklet, copy the x-axis, the y-axis, and pentagon PQRST exactly as shown.
  1. What are the coordinates of vertex T?
  2. On the grid in your Student Answer Booklet, draw the image of pentagon PQRST after it has been translated 6 units to the right. Label the image P′Q′R′S′T′.
  3. What are the coordinates of vertex T′?
  4. On the grid in your Student Answer Booklet, draw the image of pentagon P′Q′R′S′T′ after it has been rotated 180° clockwise about vertex T′.

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 describing the effects of translations and rotations on two-dimensional figures using coordinates.
4
3 The student response demonstrates a good understanding of the Geometry concepts involved in describing the effects of translations and rotations on two-dimensional figures using coordinates. 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 describing the effects of translations and rotations on two-dimensional figures using coordinates. 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 describing the effects of translations and rotations on two-dimensional figures using coordinates.
0 The student response contains insufficient evidence of an understanding of the Geometry concepts involved in describing the effects of translations and rotations on two-dimensional figures using coordinates to merit any points.

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

Grade 8 Mathematics

Question 11: Statistics and Probability
Question 20: Geometry

Return to the MCAS 2014 Student Work Directory



Last Updated: September 21, 2017
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