




Massachusetts Comprehensive Assessment System
2011, Grade 3 Mathematics
Question 18: OpenResponse 

Reporting Category: Data Analysis, Statistics, and Probability Standard: 3.D.4  List and count the number of possible combinations of objects from two sets, e.g., how many different outfits can one make from a set of two sweaters and a set of three skirts? 
The chart below shows the shoes and socks that Maddy can choose to wear.  List all the different ways that Maddy can choose 1 kind of shoe and 1 kind of sock to wear.
 What is the total number of different ways Maddy can choose 1 kind of shoe and 1 kind of sock?

Scoring Guide and Sample Student Work Select a score point in the table below to view the sample student response.
Score  Description 
2 
The student response demonstrates an exemplary understanding of the Data Analysis, Statistics, and Probability concepts involved in listing and counting the number of possible combinations of objects from two sets. 
2 
1 
The student response contains fair evidence of an understanding of the Data Analysis, Statistics, and Probability concepts involved in listing and counting the number of possible combinations of objects from two sets. While some aspects of the task are completed correctly, others are not. The mixed evidence provided by the student merits 1 point. 
0 
The student response contains insufficient evidence of an understanding of Data Analysis, Statistics, and Probability concepts involved in listing and counting the number of possible combinations of objects from two sets, to merit any points. 
Note: There are 2 sample student responses for Score Point 2.
Grade 3 Mathematics
 Question 11: Patterns, Relations, and Algebra
 Question 18: Data Analysis, Statistics, and Probability
Return to the MCAS 2011 Student Work Directory
Last Updated: June 27, 2017


