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written by the PhET
Available Languages: English, Spanish
This interactive Flash animation allows students to explore size estimation in one, two and three dimensions. Multiple levels of difficulty allow for progressive skill improvement. In the simplest level, users estimate the number of small line segments that can fit into a larger line segment. Intermediate and advanced levels offer feature games that explore area of rectangles and circles, and volume of spheres and cubes. Related lesson plans and student guides are available for middle school and high school classroom instruction.

This is part of a larger collection developed by the Physics Education Technology project (PhET).
Subjects Levels Resource Types
General Physics
- Measurement/Units
= Error
- High School
- Lower Undergraduate
- Middle School
- Informal Education
- Instructional Material
= Activity
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- application/flash
- text/html
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Access Rights:
Free access
© 2005 PHET and University of Colorado
Additional information is available.
area, dimensions, estimate, estimating area, estimating length, estimating volume, length, measurement, volume
Record Creators:
Metadata instance created January 22, 2006 by Cathy Ezrailson
Record Updated:
January 8, 2020 by Bruce Mason
Last Update
when Cataloged:
December 1, 2005
Other Collections:

AAAS Benchmark Alignments (2008 Version)

2. The Nature of Mathematics

2A. Patterns and Relationships
  • 3-5: 2A/E2. Mathematical ideas can be represented concretely, graphically, or symbolically.

9. The Mathematical World

9C. Shapes
  • 3-5: 9C/E1. Length can be thought of as unit lengths joined together, area as a collection of unit squares, and volume as a set of unit cubes.
  • 6-8: 9C/M7. For regularly shaped objects, relationships exist between the linear dimensions, surface area, and volume.
  • 9-12: 9C/H2. When the linear dimensions of an object change by some factor, its area and volume change disproportionately: area in proportion to the square of the factor and volume in proportion to its cube. Properties of an object that depend on its area or volume also change disproportionately.

Common Core State Standards for Mathematics Alignments

Standards for Mathematical Practice (K-12)

MP.2 Reason abstractly and quantitatively.

NSES Content Standards

Con.U: Unifying Concepts & Processes
  • K-12: Change, Constancy, Measurement
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Record Link
AIP Format
PhET, (2005), WWW Document, (
PhET, PhET Simulation: Estimation, (2005), <>.
APA Format
PhET. (2005, December 1). PhET Simulation: Estimation. Retrieved October 23, 2021, from
Chicago Format
PhET. PhET Simulation: Estimation. December 1, 2005. (accessed 23 October 2021).
MLA Format
PhET. PhET Simulation: Estimation. 2005. 1 Dec. 2005. PhET. 23 Oct. 2021 <>.
BibTeX Export Format
@misc{ Author = "PhET", Title = {PhET Simulation: Estimation}, Volume = {2021}, Number = {23 October 2021}, Month = {December 1, 2005}, Year = {2005} }
Refer Export Format

%Q PhET %T PhET Simulation: Estimation %D December 1, 2005 %U %O application/flash

EndNote Export Format

%0 Electronic Source %A PhET, %D December 1, 2005 %T PhET Simulation: Estimation %V 2021 %N 23 October 2021 %8 December 1, 2005 %9 application/flash %U

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Citation Source Information

The AIP Style presented is based on information from the AIP Style Manual.

The APA Style presented is based on information from APA Electronic References.

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