Mass.gov
Massachusetts Department of Elementary and Secondary Education
Go to Selected Program Area
 Massachusetts State Seal
 News  School/District Profiles  School/District Administration  Educator Services  Assessment/Accountability  Family & Community  
 Student Assessment  Accountability, Partnership, & Assistance  Compliance/Monitoring >  
>
>
>
 
 
 
 
 
 
 
 
 
 
 
>
>
>
>
>
>
>
>
>
>
>

Massachusetts Comprehensive Assessment System

2013, Grade 8 Mathematics

  Question 20: Open-Response calculator allowed
Some of the students from Eastwood School are taking a trip to a museum. In all, fewer than 60 students will go on the trip. The cost for food and admission to the museum is $18 per student.
  1. What is the total cost for food and admission to the museum for 15 students? Show or explain how you got your answer.
The students will travel on one bus to the museum. The cost of the bus is $800.
  1. In your Student Answer Booklet, copy and complete the table below to show the total cost for food, admission, and the bus for different numbers of students to go to the museum. Show or explain how you got your answers.
Student Trip
to the Museum
 
Number
of Students
Total Cost for
Food, Admission,
and the Bus
0$  800
20 $1160
30 
40 
50
  1. Write an expression that can be used to find the total cost for food, admission, and the bus for n students from Eastwood School to go to the museum.
  2. A total of 44 students go to the museum. What is the total cost, for food, admission, and the bus, per student to go to the museum? 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.

ScoreDescription
4 The student response demonstrates an exemplary understanding of the Functions concepts involved in constructing a function to model a linear relationship between two quantities. The student completes a table, uses the table to construct an expression, and then uses the expression to solve a problem.
4
3
The student response demonstrates a good understanding of the Functions concepts involved in constructing a function to model a linear relationship between two quantities. 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 constructing a function to model a linear relationship between two 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 Functions concepts involved in constructing a function to model a linear relationship between two quantities.
0
The student response contains insufficient evidence of an understanding of the Functions concepts involved in constructing a function to model a linear relationship between two quantities to merit any points.

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

Grade 8 Mathematics

Question 11: Statistics and Probability
Question 20: Functions

Return to the MCAS 2013 Student Work Directory



Last Updated: August 27, 2015
E-mail this page| Print View| Print Pdf  
Massachusetts Department of Elementary and Secondary Education Search · Site Index · Policies · Site Info · Contact ESE