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Created 7/7/19. Updates available online.

Fractions: Equality

Fractions: Equality Screenshot
  • Equivalent Fractions
  • Number Line
  • Improper Fraction

Topics

  • Equivalent Fractions
  • Number Line
  • Improper Fraction
  • Equations
  • Inequalities

Description

Build equivalent fractions with different denominators. Match shapes and numbers to earn stars in the game. Challenge yourself on any level you like. Try to collect lots of stars!

Sample Learning Goals

  • Make equivalent fractions using different numbers
  • Match fractions in different picture patterns
  • Compare fractions on a number line

Standards Alignment

Common Core - Math

3.NF.A.2
Understand a fraction as a number on the number line; represent fractions on a number line diagram.
 3.NF.A.3
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
 3.NF.A.3a
Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
 3.NF.A.3b
Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
 3.NF.A.3c
Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
 3.NF.A.3d
Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
 4.NF.A.1
Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
Version 1.0.4

Teacher Tips

Download teacher tips PDF Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

Teacher-Submitted Activities

Title Gold Star Contribution Contribution by PhET Authors Level Type Subject
Fractions Tops and Bottoms A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Janelle Stanton MS Discuss
Guided		 Mathematics
Equivalent Fractions Sherene Irvine K-5 Guided
Lab
Demo
Discuss
HW		 Mathematics

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The new HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
iOS 11+ Safari
iPad compatible sims

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

Design Team Third-party Libraries Thanks To
  • Ariel Paul (lead designer)
  • Jonathan Olson (lead developer)
  • Sam Reid (original developer)
  • Martin Veillette (developer)
  • Michael Dubsin
  • Trish Loeblein
  • Amanda McGarry
  • Kathy Perkins
  • Vincent Davis
  • Michael Moorer
  • Dusty Cole
  • almond-0.2.9.js
  • base64-js-1.2.0.js
  • easing-equations-r12
  • FileSaver-b8054a2.js
  • font-awesome-4.5.0
  • game-up-camera-1.0.0.js
  • he-1.1.1.js
  • himalaya-0.2.7.js
  • jama-1.0.2
  • jquery-2.1.0.js
  • lodash-4.17.4.js
  • pegjs-0.7.0.js
  • seedrandom-2.4.2.js
  • text-2.0.12.js
  • TextEncoderLite-3c9f6f0.js
  • Tween-r12.js
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