Volume Quantifier

Partial understanding of cubes as filling a space. Able to estimate number of scoops needed to fill. Able to attend to both the portion of container filled and the portion remaining unfilled. Recognizes when container is half full. Exhibits initial spatial structuring. Packs box neatly and completely with cubes; may count one cube at a time, while packing, to determine total. Compares objects by physically or mentally aligning and explicitly recognizing three dimensions


You may see this:

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Other Examples:

  • Initially, may count the faces of a cube building, possibly double-counting cubes at the corners and usually not counting internal cubes.
  • Eventually counts one cube at a time in carefully structured and guided contexts, such as packing a small box with cubes.

Help your student become a(n) Volume Quantifier

Activities build a more three-dimensional understanding of volume through counting the number of scoops of water or sand it takes to fill a container and especially when packing a box full of cubes. Discussion of filling the 3D space is important, emphasizing the number of scoops, cubes, or another unit.

Special Thanks To

Institute of Education Sciences
The research reported here was supported by the Institute of Education Sciences, U.S. Department of Education, through grant numbers R305K050157, R305A120813, R305A110188, and R305A150243. to the University of Denver. The opinions expressed are those of the authors and do not represent views of the Institute or the U.S. Department of Education.