Massachusetts Comprehensive Assessment System

2019, Grade 4 Mathematics

Question 3: Constructed-Response

Reporting Category: Number and Operations-Fractions
Standard: Mathematics.4.NF.C.07 - Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.
Item Description: Compare decimals given in tenths and hundredths in a list, order decimals from least to greatest, and determine which decimal from the list is closest in value to a given decimal.

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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 Number and Operations-Fractions concepts involved in comparing two decimals to hundredths by reasoning about their size. The student correctly uses place value to compare decimals and explains the reasoning of their comparisons.
4
3	The student response demonstrates a good understanding of the Number and Operations-Fractions concepts involved in comparing two decimals to hundredths by reasoning about their size. 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 Number and Operations-Fractions concepts involved in comparing two decimals to hundredths by reasoning about their size. 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 Number and Operations-Fractions concepts involved in comparing two decimals to hundredths by reasoning about their size.
0	The student response contains insufficient evidence of an understanding of the Number and Operations-Fractions concepts involved in comparing two decimals to hundredths by reasoning about their size to merit any points.

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

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 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 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

Return to the MCAS 2019 Student Work Directory

Last Updated: May 5, 2020