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NAEP Assessment Item, Grade 4: Compare Two Geometric Shapes
1, 2, 3, 4
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Professional Commentary

Students must list the similarities and differences between a rectangle and a parallelogram of the same base and height. They must explain their reasoning using drawings, words, and numbers. This constructed-response question is a sample test item used in grade 4 in the 1996 National Assessment of Educational Progress (see About NAEP). The URL link (above) takes the user directly to the NAEP test item, with access to performance data by various subgroups of students, a scoring guide, sample student responses, and a discussion of the content on which the item is based. The NAEP website allows users to build their own printable database of test items by clicking on Add Question in the upper right hand corner of the screen. NAEP Reference Number: 1996-4M9, No. 10. (sw)

Ohio Mathematics Academic Content Standards (2001)
Geometry and Spatial Sense Standard
Benchmarks (K–2)
Sort and compare two-dimensional figures and three-dimensional objects according to their characteristics and properties.
Benchmarks (3–4)
Provide rationale for groupings and comparisons of two-dimensional figures and three-dimensional objects.
Use attributes to describe, classify and sketch plane figures and build solid objects.
Grade Level Indicators (Grade 1)
Identify, compare, and sort two-dimensional shapes; i.e., square, circle, ellipse, triangle, rectangle, rhombus, trapezoid, parallelogram, pentagon, and hexagon. For example: a. Recognize and identify triangles and rhombuses independent of position, shape or size; and b. Describe two-dimensional shapes using attributes such as number of sides and number of vertices (corners, or angles).
Grade Level Indicators (Grade 3)
Analyze and describe properties of two-dimensional shapes and three-dimensional objects using terms such as vertex, edge, angle, side and face.
Grade Level Indicators (Grade 4)
Describe, classify, compare and model two- and three-dimensional objects using their attributes.
Identify similarities and differences of quadrilaterals; e.g., squares, rectangles, parallelograms and trapezoids.
Principles and Standards for School Mathematics
Geometry Standard
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
Expectations (Pre-K–2)
recognize, name, build, draw, compare, and sort two- and three-dimensional shapes;
describe attributes and parts of two- and three-dimensional shapes;
Expectations (3–5)
identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes;