# Modelo de Áreas: Álgebra

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### Descripción

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!

### Objetivos de Aprendizaje

• 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.
Versión 1.0.11

### Consejos para Profesores

 Resumen de controles, simplificaciones del modelo y percepciones frente al pensamiento de los estudiantes ( PDF ).

### Video Guía

Por favor inicie sesión para ver el video guía

Expanding and Factoring Algebraic Expressions Amanda McGarry EM Guiada Matemáticas
Algebraic Expressions Amanda McGarry EM Guiada Matemáticas
Exploring Factoring as Undoing the Distributive Property Sarah Hampton EM
ES
Middle School Math Sim Alignment Amanda McGarry EM Otro Matemáticas
Using the area model with expressions Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry EM Discusión Matemáticas
Would You Rather ... Karen Gann ES Guiada Matemáticas
Area Model Algebra - Multiplying Polynomials Carolyn Felknor EM Guiada Matemáticas
ARTICULANDO ÁLGEBRA E GEOMETRIA: O CASO DAS EQUAÇÕES ALGÉBRICAS NO ESTUDO DE ÁREAS Verusca Batista Alves; Ana Carolina Costa Pereira EM Lab
Tarea
Matemáticas
Distributive Property Review Tim Kissinger and Larry Peters EM Discusión
Matemáticas
Idioma Descargar o Ejecutar Tips
Alemán All Deutsch Flächenmodell Algebra
Árabe All العربية جبر نموذج المساحة
Bosnio All Bosanski Matematički model površina - Algebra
Chino - Simplificado All 中文 (中国) 面积模型代数
Chino - Tradicional All 中文 (台灣) Area Model Algebra_面積模型與代數
Coreano All 한국어 면적 모형: 대수
Danés All Dansk Arealmodel, algebra
Español All español Modelo de Áreas: Álgebra
Español (Perú) All español (Perú) Modelo de Área con Álgebra
Finés All suomi Pinta-ala ja algebra
Francés All français Modélisation par les aires - Algèbre
Griego All Ελληνικά Υπολογισμός εμβαδού
Guyaratí All Gujarati બીજગણિતનું ક્ષેત્રફળ મોડેલ -નિકુંજ સવાણી
Hindi All हिंदी  बीजगणित -नमूने का क्षेत्रफल
Holandés All Nederlands Oppervlakte model algebra
Húngaro All magyar Területmodell: algebra
Inglés All English Area Model Algebra
Italiano All italiano Rappresentazione grafica della moltiplicazione in algebra
Japonés All 日本語 面積と式の展開
Kazako All Kazakh Ауданды есептеу
Latón All Latviešu Laukuma modeļa algebra
Mongol All Монгол (Монгол) Талбайн загварын Алгебр
Polaco All polski Model pola - wyrażenia algebraiczne
Portugués All português Modelo de Área: Álgebra
Portugués Brasil All português (Brasil) Modelo de Área: Álgebra
Ruso All русский Вычисление площади
Serbio All Српски Математика преко површина - Алгебра
Sueco All svenska Areamodellen och algebra
Tamil All Tamil மாதிரி உருவின் எண்(அட்சர) கணிதம்
Turco All Türkçe Alan Modeli İle Cebir
Vasco All Euskara Azalera-modeloan algebra
Vietnamés All Tiếng Việt Đại số với mô hình diện tích

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