




Massachusetts Comprehensive Assessment System
2017, Grade 5 Mathematics
Question 1: ConstructedResponse 

Reporting Category: Number and Operations in Base Ten Standard: CCSS.Math.Content.5.NBT.B.6  Find wholenumber quotients of whole numbers with up to fourdigit dividends and twodigit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Item Description: Solve realworld problems involving writing equations, and division of a threedigit whole number and a twodigit whole number. 
There are 720 students at a school. All the students at the school are going on a field trip to a science museum. The students will ride school buses to the museum. Each bus holds 60 students when completely full.
Part AWhat is the least number of buses needed to take all the students from the school to the science museum? Show or explain how you got your answer.
Enter your answer and your work or explanation in the space provided.
Part BWrite an equation to represent the problem you solved in Part A.
Enter your equation in the space provided. Enter only your equation.
Part CThe school can also use smaller buses to take the students to the museum. Each smaller bus holds 50 students when completely full.
What is the least number of smaller buses needed to take all the students from the school to the science museum? Show or explain how you got your answer.
Enter your answer and your work or explanation in the space provided.

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 Number and Operations in Base Ten concepts involved in finding wholenumber quotients of whole numbers with up to 4digit dividends and 2digit divisors and illustrating and explaining the calculations by using equations. The student writes a division equation and uses division to find and justify solutions to a realworld problem. 
4 
3 
The student response demonstrates a good understanding of the Number and Operations in Base Ten concepts involved in finding wholenumber quotients of whole numbers with up to 4digit dividends and 2digit divisors and illustrating and explaining the calculations by using equations. 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 Number and Operations in Base Ten concepts involved in finding wholenumber quotients of whole numbers with up to 4digit dividends and 2digit divisors and illustrating and explaining calculations by using equations. 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 Number and Operations in Base Ten concepts involved in finding wholenumber quotients of whole numbers with up to 4digit dividends and 2digit divisors and illustrating and explaining the calculations by using equations. 
0 
The student response contains insufficient evidence of an understanding of the Number and Operations in Base Ten concepts involved in finding wholenumber quotients of whole numbers with up to 4digit dividends and 2digit divisors and illustrating and explaining the calculations by using equations to merit any points. 
Note: There are 2 sample student responses for Score Point 4.
Grade 5 Mathematics
 Question 1: Number and Operations in Base Ten
Return to the MCAS 2017 Student Work Directory
Last Updated: March 26, 2018


