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Massachusetts Comprehensive Assessment System

2012, Grade 7 Mathematics

  Question 8: Open-Response no calculator allowed
On the grid in your Student Answer Booklet, copy the x-axis, the y-axis, and point Q, as shown below.
Grid with Point Q plotted on it
  1. What are the coordinates of point Q?
  2. On your grid, plot and label points S(–5, 0) and R(–3, 0).
  3. On your grid, plot and label a point T so that quadrilateral QRST is a rectangle. What are the coordinates of point T?
  4. On your grid, draw a second rectangle that meets the following requirements:
    • It is congruent to rectangle QRST.
    • The coordinates of each vertex are positive numbers.
    • The vertices are labeled U, V, W, and X.
  5. What are the coordinates of each vertex of rectangle UVWX?

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 graphing points and identifying coordinates of points on the Cartesian coordinate plane. The student plots points and draws a rectangle on the Cartesian coordinate plane and then creates a second rectangle which is congruent to the first.
4
3 The student response demonstrates a good understanding of the Geometry concepts involved in graphing points and identifying coordinates of points on the Cartesian coordinate plane. 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 fair understanding of the Geometry concepts involved in graphing points and identifying coordinates of points on the Cartesian coordinate plane. 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 only minimal understanding of the Geometry concepts involved in graphing points and identifying coordinates of points on the Cartesian coordinate plane.
0 The student response contains insufficient evidence of an understanding of the Geometry concepts graphing points and identifying coordinates of points on the Cartesian coordinate plane 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: April 30, 2016
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