Massachusetts Comprehensive Assessment System

2019, Grade 3 Mathematics

Question 6: Constructed-Response

 

Reporting Category: Measurement and Data
Standard: Mathematics.3.MD.D.08 - Solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
Item Description: Determine the perimeter of a square and then determine a length and a width of a rectangle with the same perimeter as the square, but with different dimensions.


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Scoring Guide and Sample Student Work

Select a score point in the table below to view the sample student response.

ScoreDescription
3 The student response demonstrates an exemplary understanding of the Measurement and Data concepts involved in solving real-world problems involving perimeters of polygons, including finding perimeter, given side lengths, and exhibiting rectangles with the same perimeter and different areas. The student correctly determines the perimeter of a rectangle and finds the length and width of another rectangle with the same perimeter but different dimensions.
3
2 The student response demonstrates a good understanding of the Measurement and Data concepts involved in solving real-world problems involving perimeters of polygons, including finding perimeter, given side lengths, and exhibiting rectangles with the same perimeter and different areas. 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 2 points.
1 The student response demonstrates a minimal understanding of the Measurement and Data concepts involved in solving real-world problems involving perimeters of polygons, including finding perimeter, given side lengths, and exhibiting rectangles with the same perimeter and different areas. 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 the Measurement and Data concepts involved in solving real-world problems involving perimeters of polygons, including finding perimeter, given side lengths, and exhibiting rectangles with the same perimeter and different areas to merit any points.
Note: There are 2 sample student responses for Score Point 3.

Grade 4 Mathematics

Question 3: Number and Operations-Fractions
Question 4: Ratios and Proportional Relationships
Question 4: Measurement and Data
Question 4: Technology/Engineering
Question 5: Earth and Space Science
Question 5: Functions
Question 6: Operations and Algebraic Thinking
Question 6: Technology/Engineering
Question 6: Measurement and Data
Question 8: Expressions and Equations
Question 8: Language and Writing
Question 8: Reading
Question 8: Language and Writing
Question 8: Language and Writing
Question 8: Language and Writing
Question 9: Language and Writing
Question 9: Language and Writing
Question 9: Number and Quantity
Question 12: Ecology
Question 12: Waves and Radiation
Question 12: Expressions and Equations
Question 13: Number and Operations in Base Ten
Question 14: Statistics and Probability
Question 14: Statistics and Probability
Question 15: Operations and Algebraic Thinking
Question 15: Statistics and Probability
Question 16: Language and Writing
Question 16: Life Science
Question 17: Physical Science
Question 17: Language and Writing
Question 18: Earth and Space Science
Question 18: Language and Writing
Question 23: Motion and Forces
Question 23: Anatomy and Physiology
Question 30: Geometry
Question 32: Biochemistry and Cell Biology
Question 32: Motion and Forces
Question 35: Algebra and Functions
Question 44: Heat and Heat Transfer
Question 44: Evolution and Biodiversity
Question 45: Electromagnetism
Question 45: Genetics

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Last Updated: May 5, 2020

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