# Unit Rates

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بۆ به‌ڕێوه‌ بردن کلیک بکه‌
Use this HTML code to display a screenshot with the words "Click to Run". Ratios Proportional Reasoning Double Number Line PhET پشتیوانی ئه بێ له لایه ن و فێرکارانێ وه ک ئێوه.

### 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 1.0.17

### Teacher Tips

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

### Teacher-Submitted Activities

Finding and Using Unit Rates Karina K. R. Hensberry MS Guided بیرکاری
Using Ratios and Rates to Solve Problems Ian Whitacre, Sebnem Tekin MS Guided بیرکاری
Comparing Unit Rates Ian Whitacre, Sebnem Tekin MS Guided بیرکاری
Grocery Shopping Daniel Greenberg MS Guided بیرکاری
Middle School Math Sim Alignment Amanda McGarry MS دیکه‌ بیرکاری
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López HS
MS
دیکه‌ ژیناسی
کیمیا
بیرکاری
فیزیا
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López UG-Intro
HS
دیکه‌ فیزیا
بیرکاری
کیمیا
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López K-5
MS
Demo
Discuss
Guided
تاقیگه‌
HW
ئه‌ستێره‌ناسی
فیزیا
بیرکاری
کیمیا
Preguntas de razonamiento para todas las simulaciones HTML5 Diana López K-5
MS
HS
UG-Intro
Discuss
HW
ئه‌ستێره‌ناسی
فیزیا
بیرکاری
کیمیا
Mapping of PhET and IBDP Physics Jaya Ramchandani HS دیکه‌ فیزیا
Using Unit Rate to Understand Slope Karissa Gonzalez MS
HS
Guided بیرکاری
Finding Unit Rates Using Addition, Subtraction, Multiplication, and Division Bethany Konz MS Guided بیرکاری
Albanian All shqip Vlera për njësi
Arabic All العربية وحدة النسب
Basque All Euskara Unitate-prezioak
Bosnian All Bosanski Pijaca, šoping i trke
Brazilian Portuguese All português (Brasil) Taxas Unitárias
Chinese - Simplified All 中文 (中国) 单位价格
Chinese - Traditional All 中文 (台灣) Unit Rates_單位比例
Croatian All hrvatski Jedinične cijene
Danish All Dansk Stykpris
Dutch All Nederlands Prijs per stuk
English (Canada) All English (Canada) Unit Rates
French All français Taux unitaires
German All Deutsch pro Einheit
Greek All Ελληνικά Τιμή μονάδας
Gujarati All Gujarati એકમ દર - નિકુંજ સવાણી દ્વારા
Hindi All हिंदी इकाई दर
Hungarian All magyar Aránykifejezők: egységár és sebesség
Italian All italiano Unità derivate
Japanese All 日本語 単位当たりの割合
Kazakh All Kazakh Өлшем бірліктері
Korean All 한국어 비율
Latvian All Latviešu Mērvienību attiecības
Marathi All मराठी एकाचा दर
Mongolian All Монгол (Монгол) Нэгжийн харьцаа
Polish All polski Proporcjonalność prosta
Russian All русский Удельная цена
Serbian All Српски Пијаца, шопинг а и трка
Slovak All Slovenčina Jednotky
Slovenian All Slovenščina Količine lahko merimo
Spanish All español Razón unitaria
Spanish (Mexico) All español (México) Razones unitarias
Spanish (Peru) All español (Perú) Tasas o Razones Unitarias
Spanish (Spain) All español (España) Razón unitaria
Swedish All svenska Enhetspris
Tamil All Tamil அலகின் விலைகள்
Vietnamese All Tiếng Việt Tỷ suất đơn vị
فارسی All فارسی نرخ واحد

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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