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Massachusetts Comprehensive Assessment System

2012, Grade 3 Mathematics

  Question 10: Open-Response no calculator allowed
Jaya drew a shaded rectangle on a grid, as shown below.
There is a grid with 6 rows and 9 columns. Part of the grid is shaded and part is unshaded. These are the parts that are unshaded: first row and last row; first two columns and last column. The rest of the grid is shaded. There is a key that shows one shaded square on the grid stands for 1 square unit.
  1. What is the area, in square units, of Jaya’s shaded rectangle? __________ Show or explain how you got your answer.
      
  2. Marc also drew a rectangle.
    • Marc’s rectangle has the same area as Jaya’s rectangle.
    • Marc’s rectangle has a width of 3 units.
What is the length, in units, of Marc’s rectangle? __________ On the grid below, draw Marc’s rectangle.
There is a grid with 11 rows and 11 columns.

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 Measurement concepts involved in finding the area of a rectangle using diagrams and grids. Given the width and area of a rectangle, the student determines the length.
2
1
The student response contains fair evidence of an understanding of the Measurement concepts involved in finding the area of a rectangle using diagrams and grids. 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 concepts involved in finding the area of a rectangle using diagrams and grids, to merit any points.

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

Grade 3 Mathematics

Question 5: Data Analysis, Statistics, and Probability
Question 10: Measurement

Return to the MCAS 2012 Student Work Directory



Last Updated: November 1, 2001
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