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# Massachusetts Comprehensive Assessment System

## 2016, Grade 8 Mathematics

 Question 11: Open-Response Reporting Category: FunctionsStandard: Mathematics.8.F.1.02 - 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. Each of the four functions below shows a relationship between x and y.Function H:   Function I:   Function J: Multiply the x value by 3 and subtract 6 to get the y value.  Function K: What is the slope of the line that represents Function H? Show or explain how you got your answer.Write an equation in terms of x and y to represent the graph of Function J.What is the y-intercept of Function K? Show or explain how you got your answer.List the four functions in order from the function with the least rate of change to the function with the greatest rate of change.

### Scoring Guide and Sample Student WorkSelect a score point in the table below to view the sample student response.

ScoreDescription
4 The student response demonstrates an exemplary understanding of the Functions concepts involved in comparing properties of functions represented in different ways. The student compares the y-intercepts and the slopes of functions that are represented in different ways and writes an equation of a line from a graph.
4
3 The student response demonstrates a good understanding of the Functions concepts involved in comparing properties of functions represented in different ways. 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 functions represented in different ways.  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 functions represented in different ways.
0 The student response contains insufficient evidence of an understanding of the Functions concepts involved in comparing properties of functions represented in different ways to merit any points.

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

### Grade 8 Mathematics

Question 11:
Question 21:

Return to the MCAS 2016 Student Work Directory

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