Massachusetts Comprehensive Assessment System

2018, Grade 7 Mathematics

Question 25: Constructed-Response

Reporting Category: Ratios and Proportional Relationships
Standard: Mathematics.7.RP.A.03 - Use proportional relationships to solve multi-step ratio, rate, and percent problems. For example: simple interest, tax, price increases and discounts, gratuities and commissions, fees, percent increase and decrease, percent error.
Item Description: Solve multi-step, real-world problems involving unit rates.

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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 Ratios and Proportional Relationships concepts involved in using proportional relationships to solve multi-step ratio and percent problems. The student compares unit prices of two products, and makes a decision about which product has a lower price.
4
3	The student response demonstrates a good understanding of the Ratios and Proportional Relationships concepts involved in using proportional relationships to solve multi-step ratio and percent problems. 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 Ratios and Proportional Relationships concepts involved in using proportional relationships to solve multi-step ratio and percent problems. 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 Ratios and Proportional Relationships concepts involved in using proportional relationships to solve multi-step ratio and percent problems.
0	The student response contains insufficient evidence of an understanding of the Ratios and Proportional Relationships concepts involved in using proportional relationships to solve multi-step ratio and percent problems 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