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

2011, Grade 10 Mathematics

  Question 17: Open-Response no calculator allowed
A numerical expression is shown below.
Fractional expression Numerator: eight times fifteen plus twenty divided by five Denominator: six divided by three times two
  1. What is the value of the expression? Show or explain how you got your answer.
  2. Copy the equation below into your Student Answer Booklet.
Fractional equation: Numerator:Numerator: eight times fifteen plus twenty divided by five Denominator: six divided by three times two The fraction equals fifty sixInsert sets of parentheses in the equation to make it true. Explain your reasoning. 
  1. Copy the equation below into your Student Answer Booklet.
Fractional equation:Numerator: eight times fifteen plus twenty divided by fiveDenominator: six divided by three times two The fraction equals thirty eightInsert one set of parentheses in the equation to make it true. Explain your reasoning.
  1. Copy the expression below into your Student Answer Booklet.
Fractional expression Numerator: eight times fifteen plus twenty divided by five Denominator: six divided by three times two Insert a set or sets of parentheses in the expression so that the expression will have a value that is not equal to 38, 56, or the answer to part (a). Explain your reasoning.

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 Number Sense and Operations concepts involved in simplifying numerical expressions. The student simplifies an expression using the order of operations and inserts parentheses to produce different simplified results.
4
3 The student response demonstrates a good understanding of the Number Sense and Operations concepts involved in simplifying numerical expressions. 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 fair understanding of the Number Sense and Operations concepts involved in simplifying numerical expressions. 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 only minimal understanding of the Number Sense and Operations concepts involved in simplifying numerical expressions.
0 The student response contains insufficient evidence of an understanding of the Number Sense and Operations concepts involved in simplifying numerical expressions to merit any points.

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

Grade 10 Mathematics

Question 17: Number Sense and Operations
Question 20: Geometry
Question 21: Patterns, Relations, and Algebra
Question 31: Patterns, Relations, and Algebra
Question 41: Data Analysis, Statistics, and Probability
Question 42: Measurement

Return to the MCAS 2011 Student Work Directory



Last Updated: February 27, 2007
E-mail this page| Print View| Print Pdf  
Massachusetts Department of Elementary and Secondary Education Search · Site Index · Policies · Site Info · Contact ESE