Massachusetts Comprehensive Assessment System

2019, Grade 10 Mathematics

Question 30: Constructed-Response

Reporting Category: Geometry
Standard: Mathematics.GEO.G-CO.A.02 - Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
Standard: Mathematics.MI.G-CO.A.02 - Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
Item Description: Describe transformations that create congruent and non-congruent images and determine the coordinates of the vertices of transformed figures.

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Scoring Guide and Sample Student Work

Select a score point in the table below to view the sample student response.

Score	Description
4	The student response demonstrates an exemplary understanding of the Geometry concepts involved in representing transformations in the plane, describing transformations as functions that take points in the plane as inputs and give other points as outputs, and comparing transformations that preserve distance and angle to those that do not. The student explains the effect of transformations on the coordinates of the vertices of a triangle graphed on a coordinate plane.
4
3	The student response demonstrates a good understanding of the Geometry concepts involved in representing transformations in the plane, describing transformations as functions that take points in the plane as inputs and give other points as outputs, and comparing transformations that preserve distance and angle to those that do not. 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 representing transformations in the plane, describing transformations as functions that take points in the plane as inputs and give other points as outputs, and comparing transformations that preserve distance and angle to those that do not. 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 representing transformations in the plane, describing transformations as functions that take points in the plane as inputs and give other points as outputs, and comparing transformations that preserve distance and angle to those that do not.
0	The student response contains insufficient evidence of an understanding of the Geometry concepts involved in representing transformations in the plane, describing transformations as functions that take points in the plane as inputs and give other points as outputs, and comparing transformations that preserve distance and angle to those that do not to merit any points.

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

Grade 10 Mathematics

Question 9: Number and Quantity

Question 14: Statistics and Probability

Question 30: Geometry

Question 35: Algebra and Functions

Return to the MCAS 2019 Student Work Directory

Last Updated: May 5, 2020