Massachusetts Comprehensive Assessment System

2018, Grade 7 Mathematics

Question 12: Constructed-Response

Reporting Category: Statistics and Probability
Standard: Mathematics.7.SP.C.08 - Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
Item Description: Find the sample space, list possible outcomes, and determine the probability of a compound event.

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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 Statistics and Probability concepts involved in finding probabilities of compound events using organized lists, tables, and tree diagrams. The student determines specific sample spaces and the probability associated with an event.
4
3	The student response demonstrates a good understanding of the Statistics and Probability concepts involved in finding probabilities of compound events using organized lists, tables, and tree diagrams. 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 Statistics and Probability concepts involved in finding probabilities of compound events using organized lists, tables, and tree diagrams. 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 Statistics and Probability concepts involved in finding probabilities of compound events using organized lists, tables, and tree diagrams.
0	The student response contains insufficient evidence of an understanding of the Statistics and Probability concepts involved in finding probabilities of compound events using organized lists, tables, and tree diagrams to merit any points.

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

Grade 7 Mathematics

Question 12: Statistics and Probability

Question 25: Ratios and Proportional Relationships

Return to the MCAS 2018 Student Work Directory

Last Updated: March 11, 2024