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Massachusetts Comprehensive Assessment System

2016, Grade 8 Mathematics

  Question 11: Open-Response no calculator allowed
Each of the four functions below shows a relationship between x and y.
  • Function H: a line is graphed on an xy coordinate plane, the line passes through coordinate pair four four and coordinate pair negative two negative five
     
  • Function I: y equals two point five x plus eight
     
  • Function J: Multiply the x value by 3 and subtract 6 to get the y value.
     
  • Function K: function k is shown as a table of the x and y coordinate pairs negative two four, zero six, two eight, four ten, six twelve
  1. What is the slope of the line that represents Function H? Show or explain how you got your answer.
  2. Write an equation in terms of x and y to represent the graph of Function J.
  3. What is the y-intercept of Function K? Show or explain how you got your answer.
  4. 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 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 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: Functions
Question 21: Statistics and Probability

Return to the MCAS 2016 Student Work Directory



Last Updated: October 21, 2009
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