This item corresponds to the Geometry and Measurement Core Content
for Assessment in the following manner:
At the end of fifth grade students should understand basic three-dimensional
shapes including cubes and other rectangular solids. This item
is based on a cube with pieces missing; or from a different point
of view, layers of rectangular solids composed of individual cubes.
Students should be able to identify and model basic three-dimensional
shapes by appearance and in different orientations. In this item
the 4 x 4 cube layers are repeated, shown missing two cubes, and
missing 10 cubes. The prompt also requires the student to supply
diagrams of the figure which enables the students to display their
ability to model these forms.
Students should be able to use non-standard units to measure volume.
In this item there was no identified unit of measurement for each
cube making up the tower, therefore students must have an understanding
of units to correctly label their answers.
Students should understand the relationship of how three-dimensional
shapes and alike and different. The item shows this aspect of
the Core Content when students must compare the various layers
of the tower in determining the volume.
Visual Thinking, 5th grade, S. Baker