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written by the Physics Education Technology Project
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).
Editor's Note: 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. This concept is the subject of entrenched misconception among many adults. This game-like simulation allows kids to use spatial reasoning, rather than formulas, to construct geometric sense of area and volume.
Subjects Levels Resource Types
General Physics
- Measurement/Units
= Error
- High School
- Middle School
- Informal Education
- Instructional Material
= Activity
= Interactive Simulation
Appropriate Courses Categories Ratings
- Physical Science
- Physics First
- Conceptual Physics
- Algebra-based Physics
- AP Physics
- Activity
- Laboratory
- New teachers
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Intended Users:
Learner
Educator
Formats:
application/java
text/html
Mirror:
Access Rights:
Free access
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Keywords:
area, dimensions, estimate, estimating area, estimating length, estimating volume, length, measurement, volume
Record Creators:
Metadata instance created January 22, 2006 by Cathy Ezrailson
Physics Education Technology Project
Record Updated:
August 18, 2016 by Lyle Barbato
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

This resource is part of a Physics Front Topical Unit.

Topic: Measurement and the Language of Physics
Unit Title: Scale, Order of Magnitude, and Estimation

Students explore size estimation in 1, 2, and 3 dimensions. Multiple levels of difficulty allow for progressive skill improvement. CAUTION: This activity is addictive!

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AIP Format
Physics Education Technology Project, (2005), WWW Document, (https://phet.colorado.edu/en/simulation/estimation).
AJP/PRST-PER
Physics Education Technology Project, PhET Simulation: Estimation, (2005), <https://phet.colorado.edu/en/simulation/estimation>.
APA Format
Physics Education Technology Project. (2005, December 1). PhET Simulation: Estimation. Retrieved August 16, 2017, from https://phet.colorado.edu/en/simulation/estimation
Chicago Format
Physics Education Technology Project. PhET Simulation: Estimation. December 1, 2005. https://phet.colorado.edu/en/simulation/estimation (accessed 16 August 2017).
MLA Format
Physics Education Technology Project. PhET Simulation: Estimation. 2005. 1 Dec. 2005. Physics Education Technology Project. 16 Aug. 2017 <https://phet.colorado.edu/en/simulation/estimation>.
BibTeX Export Format
@misc{ Author = "Physics Education Technology Project", Title = {PhET Simulation: Estimation}, Volume = {2017}, Number = {16 August 2017}, Month = {December 1, 2005}, Year = {2005} }
Refer Export Format

%Q Physics Education Technology Project
%T PhET Simulation: Estimation
%D December 1, 2005
%O application/java

EndNote Export Format

%0 Electronic Source
%A Physics Education Technology Project,
%D December 1, 2005
%T PhET Simulation: Estimation
%V 2017
%N 16 August 2017
%8 December 1, 2005
%9 application/java

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

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