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Massachusetts Comprehensive Assessment System

2011, Grade 3 Mathematics

  Question 18: Open-Response no calculator allowed
The chart below shows the shoes and socks that Maddy can choose to wear.
first column of chart labeled shoes with a dress shoe (D) and a sneaker (S); second column is labeled socks with a gray sock (G), lacey sock (L), white sock (W), and zigzag pattern on sock (Z)
  1. List all the different ways that Maddy can choose 1 kind of shoe and 1 kind of sock to wear.
  2. 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.

ScoreDescription
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: January 16, 2008
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