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Massachusetts Comprehensive Assessment System

2015, Grade 7 Mathematics

  Question 10: Open-Response no calculator allowed
Narita works part time on Saturdays. The graph below shows the relationship between the number of hours Narita works on Saturdays and the total amount of money she earns.
a graph called Narita's Earnings with Hours Worked labeled on the x-axis and Amount Earned in dollars on the y-axis. The x-axis is numbered from one to nine and the y-axis is numbered by sixes from zero to fifty four. A line is on the graph, starting at the point zero, zero and going through the point four, thirty six.
  1. What does the point (4, 36) on the graph represent in this situation?
  1. What does the point (0, 0) on the graph represent in this situation?
  1. What is the amount of money, in dollars, that Narita earns for each hour she works? Show or explain how you got your answer.
  1. Write an equation that could be used to find t, the total amount of money Narita earns for working h hours.

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 Ratio and Proportional concepts involved in recognizing and representing proportional relationships between quantities. The student finds the unit rate on a graph and writes an equation to represent the proportional relationship represented by the graph.
4
3 The student response demonstrates a good understanding of the Ratio and Proportional concepts involved in recognizing and representing proportional relationships between quantities. As a result the response merits 3 points.
2 The student response demonstrates a fair understanding of the Ratio and Proportionality concepts involved in recognizing and representing proportional relationships between quantities. 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 Ratio and Proportionality concepts involved in recognizing and representing proportional relationships between quantities.
0 The student response contains insufficient evidence of an understanding of the Ratio and Proportionality concepts involved in recognizing and representing proportional relationships between quantities to merit any points.

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

Grade 7 Mathematics

Question 10: Ratios and Proportional Relationships
Question 21: Geometry

Return to the MCAS 2015 Student Work Directory



Last Updated: May 17, 2017
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