# Alan Modeli İle Cebir

 İndir Göm(Embed) Kapat Bu benzetimin çalışır kopyasını göm Bu benzetimin çalışır halini eklemek için bu HTML'i kullan.Genişlik ve boyunu HTML kısmından değiştirebilirsiniz Tıklandığında benzetim başlatacak bir görüntü iliştir
Çalıştırmak için tıklayın
Ekranda görüntülemek için bu HTML kodunu kullanın "Çalıştır için tıklayın". Polinomlar Factors Ürünler PhET ekibini destekleyenler Sizin gibi eğitimciler.

• Polinomlar
• Factors
• Ürünler

### 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!

### Örnek Öğrenim Hedefleri

• 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.

### Standards Alignment

#### Common Core - Math

3.MD.C.7
Relate area to the operations of multiplication and addition.
3.MD.C.7c
Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.
3.MD.C.7d
Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
4.NBT.B.5
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
6.EE.A.3
Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
6.EE.A.4
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for..
6.NS.B.4
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2)..
7.EE.A.1
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
7.NS.A.2c
Apply properties of operations as strategies to multiply and divide rational numbers.
8.EE.C.7b
Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
Version 1.2.1

### Teacher Tips

 Öğretmen el kitabı (pdf) Phet ekibi tarafından oluşturulan ipuçları içerir. ( PDF ).

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein Ortaokul
Lİse
K-5
Lisans-Giriş
Ödev
Remote
Matematik
Kimya
Fizik
Expanding and Factoring Algebraic Expressions Amanda McGarry Ortaokul Guided Matematik
Algebraic Expressions Amanda McGarry Ortaokul Guided Matematik
Exploring Factoring as Undoing the Distributive Property Sarah Hampton Ortaokul
Lİse
Guided Matematik
Middle School Math Sim Alignment Amanda McGarry Ortaokul Diğer Matematik
Using the area model with expressions Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry Ortaokul Discuss Matematik
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López Lİse
Ortaokul
Diğer Biyoloji
Kimya
Fizik
Matematik
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López Lisans-Giriş
Lİse
Diğer Fizik
Matematik
Kimya
Would You Rather ... Karen Gann Lİse Guided Matematik
Area Model Algebra - Multiplying Polynomials Carolyn Felknor Ortaokul Guided Matematik
ARTICULANDO ÁLGEBRA E GEOMETRIA: O CASO DAS EQUAÇÕES ALGÉBRICAS NO ESTUDO DE ÁREAS Verusca Batista Alves; Ana Carolina Costa Pereira Ortaokul Laboratuvar
Ödev
Matematik
Distributive Property Review Tim Kissinger and Larry Peters Ortaokul Discuss
Guided
Matematik
Modelo de Áreas, Cambio de Expresiones Andrés Gualberto Palomo Cuevas Lİse Remote
Ödev
Matematik
Almanca All Deutsch Flächenmodell Algebra
Arapça All العربية جبر نموذج المساحة
Arnavutça All shqip Modeli Syprinës: Algjebër
Boşnakça All Bosanski Matematički model površina - Algebra
Brezilya Portekizcesi All português (Brasil) Modelo de Área: Álgebra
Çince (Geleneksel) All 中文 (台灣) Area Model Algebra_面積模型與代數
Çince (Sadeleştirilmiş) All 中文 (中国) 面积模型代数
Danca All Dansk Arealmodel, algebra
Farsça All فارسی جبر مدل مساحت
Fince All suomi Pinta-ala ja algebra
Flemenkçe All Nederlands Algebra van oppervlakte
Fransızca All français Modélisation par les aires - Algèbre
Gujarati All Gujarati ક્ષેત્રફળ મોડેલ - બીજગણિત
Hintçe All हिंदी  बीजगणित -नमूने का क्षेत्रफल
İngilizce All English Area Model Algebra
İspanyolca All español Modelo de Áreas: Álgebra
İspanyolca (Meksika) All español (México) Modelo de Áreas: Álgebra
İspanyolca (Peru) All español (Perú) Modelo de Área con Álgebra
İsveçce All svenska Areamodellen och algebra
İtalyanca All italiano Rappresentazione grafica della moltiplicazione in algebra
Japonca All 日本語 面積と式の展開
Kazakça All Kazakh Ауданды есептеу
Korece All 한국어 면적 모형: 대수
Lehçe All polski Model pola - wyrażenia algebraiczne
Letonca All Latviešu Laukuma modeļa algebra
Macarca All magyar Területmodell: algebra
Moğolca All Монгол (Монгол) Талбайн загварын Алгебр
Portekizce All português Modelo de Área: Álgebra
Rusça All русский Вычисление площади
Seylanca All Sinhalese වර්ගඵල ආකෘති වීජ ගණිතය
Sırpça All Српски Математика преко површина - Алгебра
Tamilce All Tamil மாதிரி உருவின் எண்(அட்சர) கணிதம்
Ukraynaca All українська Площинна модель. Алгебра
Vietnamca All Tiếng Việt Đại số với mô hình diện tích
Yunanca All Ελληνικά Υπολογισμός εμβαδού

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

iOS 12+ Safari

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

Chromebook:
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:

Macintosh Systems:

Linux Systems:

Tasarım Ekibi Harici Kütüphaneler Sayesinde
• 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
• 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