




Massachusetts Comprehensive Assessment System
2013, Grade 4 Mathematics
Question 21: OpenResponse 

Reporting Category: Measurement and Data Standard: 4.D.3  Construct, draw conclusions, and make predictions from various representations of data sets, including tables, bar graphs, pictographs, line graphs, line plots, and tallies.
Standard: Mathematics.4.MD.2.04  Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.

The table below shows the heights of ten of Craig’s friends. Heights of Craig’s Friends Name  Height (in inches)  Matt   Justin   Danny   Antonio   Terrell   Kiara   Ellen   Kimi   Fran   Gabriella   In your Student Answer Booklet, copy the line plot and title exactly as shown below.  Complete the line plot you copied into your Student Answer Booklet using the information in the table.
 What is the total number of Craig’s friends who have a height that is less than inches?
 What is the difference, in inches, between the height of Craig’s tallest friend and the height of Craig’s shortest friend? Show or explain how you got your answer.

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 Measurement and Data concepts involved in making a line plot to display a data set of measurements in fractions of a unit and solving problems involving addition and subtraction of fractions by using information presented in line plots. 
4 
3 
The student response demonstrates a good understanding of the Measurement and Data concepts involved in making a line plot to display a data set of measurements in fractions of a unit and solving problems involving addition and subtraction of fractions by using information presented in line plots. 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 Measurement and Data concepts involved in making a line plot to display a data set of measurements in fractions of a unit and solving problems involving addition and subtraction of fractions by using information presented in line plots. 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 Measurement and Data concepts involved in making a line plot to display a data set of measurements in fractions of a unit and solving problems involving addition and subtraction of fractions by using information presented in line plots. 
0 
The student response contains insufficient evidence of an understanding of the Measurement and Data concepts involved in making a line plot to display a data set of measurements in fractions of a unit and solving problems involving addition and subtraction of fractions by using information presented in line plots to merit any points. 
Note: There are 2 sample student responses for Score Point 4.
Grade 4 Mathematics
 Question 7: Operations and Algebraic Thinking
 Question 21: Measurement and Data
Return to the MCAS 2013 Student Work Directory
Last Updated: January 25, 2013


