Unit Rates

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Unit Rates وێنه‌ی شاشه‌  دابه‌زێن  Embed
  • Ratios
  • Proportional Reasoning
  • Double Number Line

ناوه‌ڕۆک

  • Ratios
  • Proportional Reasoning
  • Double Number Line
  • Unit Rate

Description

Discover the unit rate while shopping for fruits, vegetables, and candy. Construct a double number line and look for patterns. Challenge yourself on the race track as you compare cars with different rates!

Sample Learning Goals

  • Interpret ratios of mixed units (e.g. $/lb)
  • Define the unit rate and determine a method to calculate it
  • Predict how changing the numerator or denominator of a rate will affect the unit rate
  • Use the double number line to reason about rates and solve real-world problems
  • Develop strategies to use the unit rate to solve problems
  • Compare unit rates between two simultaneous situations

Standards Alignment

Common Core - Math

6.RP.A.2
Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. For example, "This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar." "We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger."1
6.RP.A.3
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
6.RP.A.3b
Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?
6.RP.A.3d
Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Version 1.0.16

Teacher Tips

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

Video Primer

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Teacher-Submitted Activities

Finding and Using Unit Rates A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Karina K. R. Hensberry MS Guided بیرکاری
Using Ratios and Rates to Solve Problems A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Ian Whitacre, Sebnem Tekin MS Guided بیرکاری
Comparing Unit Rates A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Ian Whitacre, Sebnem Tekin MS Guided بیرکاری
Preguntas de razonamiento para todas las simulaciones HTML5 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Diana López UG-Intro
HS
MS
UG-Adv
Grad
K-5
Discuss
HW
ئه‌ستێره‌ناسی
کیمیا
بیرکاری
فیزیا
Grocery Shopping A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Daniel Greenberg MS Guided بیرکاری
Middle School Math Sim Alignment This contribution was designed by PhET. Amanda McGarry MS دیکه‌ بیرکاری
Mapping of PhET and IBDP Physics Jaya Ramchandani HS دیکه‌ فیزیا
Using Unit Rate to Understand Slope Karissa Gonzalez HS
MS
Guided بیرکاری
Finding Unit Rates Using Addition, Subtraction, Multiplication, and Division Bethany Konz MS Guided بیرکاری

زوان Download or Run Tips
Arabic All العربية Download Run now وحدة النسب
Basque All Euskara Download Run now Unitate-prezioak
Bosnian All Bosanski Download Run now Pijaca, šoping i trke
Brazilian Portuguese All português (Brasil) Download Run now Taxas Unitárias
Chinese - Simplified All 中文 (中国) Download Run now 单位价格
Chinese - Traditional All 中文 (台灣) Download Run now Unit Rates_單位比例
Croatian All hrvatski Download Run now Jedinične cijene
Danish All Dansk Download Run now Stykpris
Dutch All Nederlands Download Run now Prijs per stuk
English (Canada) All English (Canada) Download Run now Unit Rates
French All français Download Run now Taux unitaires
German All Deutsch Download Run now pro Einheit
Greek All Ελληνικά Download Run now Τιμή μονάδας
Gujarati All Gujarati Download Run now એકમ દર - નિકુંજ સવાણી દ્વારા
Hindi All हिंदी Download Run now इकाई दर
Hungarian All magyar Download Run now Aránykifejezők: egységár és sebesség
Italian All italiano Download Run now Unità derivate
Kazakh All Kazakh Download Run now Өлшем бірліктері
Korean All 한국어 Download Run now 비율
Latvian All Latviešu Download Run now Mērvienību attiecības
Marathi All मराठी Download Run now एकाचा दर
Mongolian All Монгол (Монгол) Download Run now Нэгжийн харьцаа
Polish All polski Download Run now Proporcjonalność prosta
Russian All русский Download Run now Удельная цена
Serbian All Српски Download Run now Пијаца, шопинг а и трка
Slovak All Slovenčina Download Run now Jednotky
Slovenian All Slovenščina Download Run now Količine lahko merimo
Spanish All español Download Run now Razón unitaria
Spanish (Mexico) All español (México) Download Run now Razones unitarias
Spanish (Peru) All español (Perú) Download Run now Tasas o Razones Unitarias
Spanish (Spain) All español (España) Download Run now Razón unitaria
Swedish All svenska Download Run now Enhetspris
Tamil All Tamil Download Run now அலகின் விலைகள்
Vietnamese All Tiếng Việt Download Run now Tỷ suất đơn vị
فارسی All فارسی Download Run now نرخ واحد

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 سوپاس بۆ
  • Amy Rouinfar (lead designer)
  • Chris Malley (developer)
  • Dave Schmitz (developer)
  • Amy Hanson
  • Amanda McGarry
  • Susan Miller
  • Ariel Paul
  • Kathy Perkins
  • 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
  • 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