Assessments

NAEP Assessment Item, Grade 4: Asssemble Pieces to Form Shape

Discipline

Mathematics

Grades

Prekindergarten, Kindergarten, 1, 2, 3, 4

Ohio Mathematics Academic Content Standards (2001)

Geometry and Spatial Sense Standard

Benchmarks (K–2)

A.

Describe and create plane figures: circle, rectangle, square, triangle, hexagon, trapezoid, parallelogram and rhombus, and identify them in the environment.

Benchmarks (3–4)

I.

Describe, identify and model reflections, rotations and translations, using physical materials.

Grade Level Indicators (Grade Prekindergarten)

3.

Identify, name, create and describe common two-dimensional shapes in the environment and play situations (e.g., circles, triangles, rectangles, and squares).

Grade Level Indicators (Grade Kindergarten)

1.

Identify and sort two-dimensional shapes and three-dimensional objects. For example:
a. Identify and describe two-dimensional figures and three-dimensional objects from the environment using the child's own vocabulary.
b. Sort shapes and objects into groups based on student-defined categories.
c. Select all shapes or objects of one type from a group.
d. Build two-dimensional figures using paper shapes or tangrams; build simple three-dimensional objects using blocks.

Grade Level Indicators (Grade 1)

2.

Create new shapes by combining or cutting apart existing shapes.

Grade Level Indicators (Grade 2)

2.

Predict what new shapes will be formed by combining or cutting apart existing shapes.

Grade Level Indicators (Grade 4)

7.

Identify, describe and use reflections (flips), rotations (turns), and translations (slides) in solving geometric problems; e.g., use transformations to determine if two shapes are congruent.

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;

investigate and predict the results of putting together and taking apart two- and three-dimensional shapes.

Expectations (3–5)

investigate, describe, and reason about the results of subdividing, combining, and transforming shapes;

Students must form a square using two paper isosceles right triangles. They must trace the square and sketch a line to show how the triangles meet. This constructed-response question is a sample test item used in grades 4 and 8 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 Questionin the upper right hand corner of the screen. NAEP Reference Number: 1996-4M10, No. 3. (sw)