Select Program Area --Select Program Area-- ESE HOME Accountability, Partnership, & Assistance Adult & Community Learning Amazing Educators BOE Advisory Councils Board of Elementary & Secondary Education Career/Vocational Technical Education Charter Schools College and Career Readiness Compliance/Monitoring (PQA) Conferences, Workshops and Trainings Curriculum & Instruction Digital Learning District & School Assistance Centers (DSACs) District & School Turnaround District Review, Analysis, & Assistance Tools Educator Evaluation Educator Licensure Tests (MTEL) Educator Licensure Educational Proficiency Plan (EPP) Edwin ELAR Log In Employment Opportunities: ESE English Language Learners Every Student Succeeds Act (ESSA) Family Literacy High School Equivalency (HSE) Testing Program Grants/Funding Opportunities Information Services Laws & Regulations Student and Family Support (SFS) Literacy LEAP Project Massachusetts Tiered System of Support (MTSS) MCAS MCAS Appeals METCO Office for Food and Nutrition Programs Performance Assessment for Leaders (PAL) Planning and Research Professional Development RETELL Safe and Supportive Schools School and District Profiles/Directory School Finance School Redesign Science, Technology Engineering, and Mathematics (STEM) Security Portal | MassEdu Gateway Special Education Special Education Appeals Special Education in Institutional Settings Statewide System of Support Student Support Title I/Federal Support Programs
 News School/District Profiles School/District Administration Educator Services Assessment/Accountability Family & Community

# Massachusetts Comprehensive Assessment System

 Question 10: Open-Response Reporting Category: Number Sense and OperationsStandard: 8.N.12 - Select and use appropriate operations—addition, subtraction, multiplication, division, and positive integer exponents—to solve problems with rational numbers (including negatives). One lap around a track is  mile. On Monday, Stacy ran 11 laps.What was the total number of miles that Stacy ran on Monday? Show or explain how you got your answer.It took Stacy  hour to run 11 laps on Monday. What was Stacy’s average speed, in miles per hour, on Monday? Show or explain how you got your answer.Stacy’s goal is to run at an average speed of 1 mile per 10 minutes. What is the number of laps that she must run in  hour to reach her goal? Show or explain how you got your answer.

### Scoring Guide and Sample Student WorkSelect 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 selecting and using appropriate operations to solve problems with rational numbers. The student multiplies a fraction by a whole number, multiplies a whole number by a mixed number, and then divides a whole number by a fraction.
4
3 The student response demonstrates a good understanding of the Number Sense and Operations concepts involved in selecting and using appropriate operations to solve problems with rational numbers. 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 selecting and using appropriate operations to solve problems with rational numbers. 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 selecting and using appropriate operations to solve problems with rational numbers.
0 The student response contains insufficient evidence of an understanding of the Number Sense and Operations concepts involved in selecting and using appropriate operations to solve problems with rational numbers to merit any points.

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