Area Model Algebra

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Area Model Algebra وێنه‌ی شاشه‌  دابه‌زێن  Embed

Description

Build rectangles of various sizes and relate multiplication to area. Discover new strategies for multiplying algebraic expressions. Use the game screen to test your multiplication and factoring skills!

Sample Learning Goals

  • Develop and justify a method to use the area model to determine the product of a monomial and a binomial or the product of two binomials.
  • Factor an expression, including expressions containing a variable.
  • Recognize that area represents the product of two numbers and is additive.
  • Represent a multiplication problem as the area of a rectangle, proportionally or using generic area.
  • Develop and justify a strategy to determine the product of two multi-digit numbers by representing the product as an area or the sum of areas.
Version 1.2.1

Teacher Tips

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

Video Primer

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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 MS
UG-Intro
K-5
HS
Remote
HW
کیمیا
بیرکاری
فیزیا
Expanding and Factoring Algebraic Expressions A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry MS Guided بیرکاری
Algebraic Expressions A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry MS Guided بیرکاری
Expandiendo y Factorizando Expresiones Algebraicas A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry (Traducción de Mayra Tavares) MS Guided بیرکاری
Exploring Factoring as Undoing the Distributive Property A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Sarah Hampton MS
HS
Guided بیرکاری
Expresiones Algebraicas A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Amanda McGarry (Traducción por Mayra Tavares) MS Guided بیرکاری
Middle School Math Sim Alignment This contribution was designed by PhET. Amanda McGarry MS دیکه‌ بیرکاری
Using the area model with expressions This contribution was designed by PhET. Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry MS Discuss بیرکاری
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López HS
MS
دیکه‌ فیزیا
کیمیا
ژیناسی
بیرکاری
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) This contribution was designed by PhET. Diana López HS
UG-Intro
دیکه‌ کیمیا
فیزیا
بیرکاری
projectile motion alya qasem UG-Intro تاقیگه‌ فیزیا
Would You Rather ... Karen Gann HS Guided بیرکاری
Area Model Algebra - Multiplying Polynomials Carolyn Felknor MS Guided بیرکاری
ARTICULANDO ÁLGEBRA E GEOMETRIA: O CASO DAS EQUAÇÕES ALGÉBRICAS NO ESTUDO DE ÁREAS Verusca Batista Alves; Ana Carolina Costa Pereira MS تاقیگه‌
HW
بیرکاری
Distributive Property Review Tim Kissinger and Larry Peters MS Discuss
Guided
بیرکاری
Usando el Modelo de Áreas con Expresiones Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry (Traducción Mayra Tavares) MS Discuss بیرکاری
Modelo de Áreas, Cambio de Expresiones Andrés Gualberto Palomo Cuevas HS HW
Remote
بیرکاری

زوان Download or Run Tips
Albanian All shqip Download Run now Modeli Syprinës: Algjebër
Arabic All العربية Download Run now جبر نموذج المساحة
Basque All Euskara Download Run now Azalera-modeloan algebra
Bosnian All Bosanski Download Run now Matematički model površina - Algebra
Brazilian Portuguese All português (Brasil) Download Run now Modelo de Área: Álgebra
Chinese - Simplified All 中文 (中国) Download Run now 面积模型代数
Chinese - Traditional All 中文 (台灣) Download Run now Area Model Algebra_面積模型與代數
Croatian All hrvatski Download Run now Površine i algebarski izrazi
Danish All Dansk Download Run now Arealmodel, algebra
Dutch All Nederlands Download Run now Algebra van oppervlakte
Faroese All Faroese Download Run now Víddir við algebra
Finnish All suomi Download Run now Pinta-ala ja algebra
French All français Download Run now Modélisation par les aires - Algèbre
German All Deutsch Download Run now Flächenmodell Algebra
Greek All Ελληνικά Download Run now Υπολογισμός εμβαδού
Gujarati All Gujarati Download Run now ક્ષેત્રફળ મોડેલ - બીજગણિત
Hindi All हिंदी Download Run now  बीजगणित -नमूने का क्षेत्रफल 
Hungarian All magyar Download Run now Területmodell: algebra
Italian All italiano Download Run now Rappresentazione grafica della moltiplicazione in algebra
Japanese All 日本語 Download Run now 面積と式の展開
Kazakh All Kazakh Download Run now Ауданды есептеу
Korean All 한국어 Download Run now 면적 모형: 대수
Latvian All Latviešu Download Run now Laukuma modelis: Algebra
Marathi All मराठी Download Run now क्षेत्रफळाचे बीजगणित 
Mongolian All Монгол (Монгол) Download Run now Талбайн загварын Алгебр
Polish All polski Download Run now Model pola - wyrażenia algebraiczne
Portuguese All português Download Run now Modelo de Área: Álgebra
Russian All русский Download Run now Вычисление площади
Serbian All Српски Download Run now Математика преко површина - Алгебра
Sinhalese All Sinhalese Download Run now වර්ගඵල ආකෘති වීජ ගණිතය
Spanish All español Download Run now Modelo de Áreas: Álgebra
Spanish (Mexico) All español (México) Download Run now Modelo de Áreas: Álgebra 
Spanish (Peru) All español (Perú) Download Run now Modelo de Área con Álgebra
Swedish All svenska Download Run now Areamodellen och algebra
Tamil All Tamil Download Run now மாதிரி உருவின் எண்(அட்சர) கணிதம்
Turkish All Türkçe Download Run now Alan Modeli İle Cebir
Ukrainian All українська Download Run now Площинна модель. Алгебра
Uzbek All Uzbek Download Run now Yuza modeli algebrasi
Vietnamese All Tiếng Việt Download Run now Đại số với mô hình diện tích
فارسی All فارسی Download Run now جبر مدل مساحت

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Design Team Third-party Libraries سوپاس بۆ
  • Amy Hanson (lead designer)
  • Amanda McGarry (co-lead)
  • Jonathan Olson (developer)
  • Karina Hensberry
  • Susan Miller
  • Ariel Paul
  • Kathy Perkins
  • Mariah Hermsmeyer (artwork)
  • Diana López Tavares (artwork)
  • almond-0.2.9.js
  • base64-js-1.2.0.js
  • FileSaver-b8054a2.js
  • font-awesome-4.5.0
  • game-up-camera-1.0.0.js
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  • himalaya-0.2.7.js
  • jama-1.0.2
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  • pegjs-0.7.0.js
  • seedrandom-2.4.2.js
  • text-2.0.12.js
  • TextEncoderLite-3c9f6f0.js