




Massachusetts Comprehensive Assessment System
2016, Grade 4 Mathematics
Question 5: OpenResponse 

Reporting Category: Operations and Algebraic Thinking Standard: Mathematics.4.OA.1.03  Solve multistep word problems posed with whole numbers and having wholenumber answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. 
Carl sold cookies and pies at a bake sale to earn money.  A bag of cookies sells for $3.
 A pie sells for $8.
 Carl sold 4 bags of cookies and 2 pies during the first hour of the bake sale. What is the total amount of money, in dollars, Carl earned during the first hour of the bake sale? Show or explain how you got your answer.
 Ms. O'Hara bought 2 bags of cookies and 1 pie from Carl. She paid with a $20 bill. What is the total amount of change, in dollars, Ms. O'Hara should receive? Show or explain how you got your answer.
Vanessa sold cakes at the same bake sale. Mr. Stanley bought 1 bag of cookies and 2 pies from Carl. Mr. Stanley also spent $11 to buy a cake from Vanessa at the bake sale. Write an equation to show m, the total amount of money, in dollars, Mr. Stanley spent at the bake sale.
 Solve the equation you wrote in part (c) to find the total amount of money, in dollars, Mr. Stanley spent at the bake sale. Show your work.

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 Operations and Algebraic Thinking concepts involved in solving multistep word problems posed with whole numbers and having wholenumber answers using the four operations, and representing these problems using equations with a letter standing for the unknown quantity. The student solves realworld problems using multiple operations and money. 
4 
3 
The student response demonstrates a good understanding of the Operations and Algebraic Thinking concepts involved in solving multistep word problems posed with whole numbers and having wholenumber answers using the four operations, and representing these problems using equations with a letter standing for the unknown quantity. 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 Operations and Algebraic Thinking concepts involved in solving multistep word problems posed with whole numbers and having wholenumber answers using the four operations, and representing these problems using equations with a letter standing for the unknown quantity. 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 Operations and Algebraic Thinking concepts involved in solving multistep word problems posed with whole numbers and having wholenumber answers using the four operations, and representing these problems using equations with a letter standing for the unknown quantity. 
0 
The student response contains insufficient evidence of an understanding of the Operations and Algebraic Thinking concepts involved in solving multistep word problems posed with whole numbers and having wholenumber answers using the four operations, and representing these problems using equations with a letter standing for the unknown quantity to merit any points. 
Note: There are 2 sample student responses for Score Point 4.
Grade 4 Mathematics
 Question 5: Operations and Algebraic Thinking
 Question 10: Number and OperationsFractions
Return to the MCAS 2016 Student Work Directory
Last Updated: April 21, 2017


