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 1.1.1

Teacher Tips

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

Teacher-Submitted Activities

Games Remote Lesson ideas A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein HS
K-5
MS
UG-Intro
HW
Remote
Chemistry
Physics
Mathematics
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
Finding Equivalent Fractions H. HENNINGS K-5 Lab
HW
Guided
Mathematics
Introduction to Equivalent Fractions Timothea Ratchford K-5 Guided Mathematics
Equivalent Fractions Sherene Irvine K-5 Demo
HW
Discuss
Lab
Guided
Mathematics
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López MS
HS
Other Mathematics
Biology
Chemistry
Physics
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López MS
K-5
Discuss
HW
Lab
Guided
Demo
Chemistry
Astronomy
Mathematics
Physics
Associação e Representação de Frações (Igualdade) Andrea Ramos; Isadora Siqueira; Leidiane Peixoto; Lilian Silva; Maitê Vitorino e Nayara Voigt. MS Lab Mathematics
ASSOCIAÇÃO E REPRESENTAÇÃO DE FRAÇÕES IGUAIS Francisco Vilar Vasconcelos, Raphael Alves Feitosa MS Guided
Demo
Mathematics

Language Download or Run Tips
Albanian All shqip Run now Thyesat: Barazi
Basque All Euskara Run now Zatikiak: baliokideak
Bosnian All Bosanski Run now Razlomci: Jednakosti
Chinese (Simplified) All 中文 (中国) Run now 分数:等式
Chinese (Traditional) All 中文 (台灣) Run now Fractions: Equality_分數的介紹:等式
Croatian All hrvatski Run now Razlomci: jednakosti
Danish All Dansk Run now Brøker: Lighed
Dutch All Nederlands Run now Breuken: gelijkheid
French All français Run now Fractions: égalités
German All Deutsch Run now Brüche: Gleichsetzen
Greek All Ελληνικά Run now Ισοδυναμία κλασμάτων
Gujarati All Gujarati Run now અપૂર્ણાંક: સમાનતા - Pankajsid34
Hindi All हिंदी Run now भिन्न(भाग) : समानता 
Hungarian All magyar Run now Törtek: egyenlőség
Italian All italiano Run now Frazioni: Equivalenza
Japanese All 日本語 Run now 分数:等式
Kazakh All Kazakh Run now Бөлшектер: Теңдік
Korean All 한국어 Run now 분수: 등식
Latvian All Latviešu Run now Daļskaitļi: Vienādības
Mongolian All Монгол (Монгол) Run now Бутархай: Тэнцэтгэл
Persian All فارسی Run now کسرها: تساوی
Polish All polski Run now Ułamki: równość
Portuguese (Brazil) All português (Brasil) Run now Frações: Igualdade
Russian All русский Run now Дроби: Равенство
Serbian All Српски Run now Разломци: Једнакости
Slovak All Slovenčina Run now Zlomky: Rovnosť
Spanish All español Run now Fracciones: Igualdades Download teacher tips PDF
Spanish (Mexico) All español (México) Run now Fracciones: Igualdades  Download teacher tips PDF
Spanish (Peru) All español (Perú) Run now Fracciones: Igualdad
Swedish All svenska Run now Bråk: Likheter
Tamil All Tamil Run now சமனான பின்னங்கள்
Turkish All Türkçe Run now Kesirler: Denklik
Ukrainian All українська Run now Дроби: Рівність Download teacher tips PDF
Vietnamese All Tiếng Việt Run now Phân số: đẳng thức

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

iPad:
iOS 12+ 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, 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
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  • base64-js-1.2.0.js
  • FileSaver-b8054a2.js
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  • 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