Massachusetts Comprehensive Assessment System

2019, Grade 8 Mathematics

Question 5: Constructed-Response

Reporting Category: Functions
Standard: Mathematics.8.F.A.02 - Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
Item Description: Compare properties of two different functions, representing real-world contexts, graphically and verbally; write equations that represent functions.

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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 Functions concepts involved in comparing properties of two functions, each represented in a different way. The student compares functions based on real-world information from a verbal description and a graph.
4
3	The student response demonstrates a good understanding of the Functions concepts involved in comparing properties of two functions, each represented in a different way. 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 Functions concepts involved in comparing properties of two functions, each represented in a different way. 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 Functions concepts involved in comparing properties of two functions, each represented in a different way.
0	The student response contains insufficient evidence of an understanding of the Functions concepts involved in comparing properties of two functions, each represented in a different way, to merit any points.

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

Grade 8 Mathematics

Question 5: Functions

Question 15: Statistics and Probability

Return to the MCAS 2019 Student Work Directory

Last Updated: May 5, 2020