# Area Model Algebra

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### Opis

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!

### Uzorak ciljeva učenja

• 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.

### Usklađivanje standarda

#### Zajednička jezgra - Matematika

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.
Verzija 1.2.1

### Savjeti učitelja Pregled kontrole simulacije, pojednostavljenje modela i uvid u učenička razmišljanja ( PDF ).

### Video (Primer)

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### Aktivnosti predane od strane učitelja

Expanding and Factoring Algebraic Expressions  Amanda McGarry MS Guided Mathematics
Algebraic Expressions  Amanda McGarry MS Guided Mathematics
Exploring Factoring as Undoing the Distributive Property Sarah Hampton HS
MS
Guided Mathematics
Middle School Math Sim Alignment Amanda McGarry MS Other Mathematics
Using the area model with expressions Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry MS Discuss Mathematics
Would You Rather ... Karen Gann HS Guided Mathematics
Area Model Algebra - Multiplying Polynomials Carolyn Felknor MS Guided Mathematics
ARTICULANDO ÁLGEBRA E GEOMETRIA: O CASO DAS EQUAÇÕES ALGÉBRICAS NO ESTUDO DE ÁREAS Verusca Batista Alves; Ana Carolina Costa Pereira MS HW
Lab
Mathematics
Distributive Property Review Tim Kissinger and Larry Peters MS Discuss
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Mathematics
Jezik Preuzmite ili pokrenite Savjeti
Arapski Sve العربية  جبر نموذج المساحة
Basque Sve Euskara  Azalera-modeloan algebra
Bosanski Sve Bosanski  Matematički model površina - Algebra
Danski Sve Dansk  Arealmodel, algebra
Finski Sve suomi  Pinta-ala ja algebra
Francuski Sve français  Modélisation par les aires - Algèbre
Grčki Sve Ελληνικά  Υπολογισμός εμβαδού
Gujarati Sve Gujarati  બીજગણિતનું ક્ષેત્રફળ મોડેલ -નિકુંજ સવાણી
Hindi Sve हिंदी  बीजगणित -नमूने का क्षेत्रफल
Japanski Sve 日本語  面積と式の展開
Kazakh Sve Kazakh  Ауданды есептеу
Kineski (pojednostavljen) Sve 中文 (中国)  面积模型代数
Kineski (traditionalni) Sve 中文 (台灣)  Area Model Algebra_面積模型與代數
Korejski Sve 한국어  면적 모형: 대수
Letonski Sve Latviešu  Laukuma modeļa algebra
Mađarski Sve magyar  Területmodell: algebra
Mongolian Sve Монгол (Монгол)  Талбайн загварын Алгебр
Nizozemski Sve Nederlands  Algebra van oppervlaktemodel
Njemački Sve Deutsch  Flächenmodell Algebra
Persian Sve فارسی  جبر مدل مساحت
Poljski Sve polski  Model pola - wyrażenia algebraiczne
Portugalski Sve português  Modelo de Área: Álgebra
Portugalski (Brazil) Sve português (Brasil)  Modelo de Área: Álgebra
Ruski Sve русский  Вычисление площади
Srpski Sve Српски  Математика преко површина - Алгебра
Španjolski Sve español  Modelo de Áreas: Álgebra Španjolski (Mexico) Sve español (México)  Modelo de Áreas: Álgebra Španjolski (Peru) Sve español (Perú)  Modelo de Área con Álgebra
Švedski Sve svenska  Areamodellen och algebra
Talijanski Sve italiano  Rappresentazione grafica della moltiplicazione in algebra
Tamil Sve Tamil  மாதிரி உருவின் எண்(அட்சர) கணிதம்
Turski Sve Türkçe  Alan Modeli İle Cebir
Ukrajinski Sve українська  Площинна модель. Алгебра Vijetnamski Sve Tiếng Việt  Đại số với mô hình diện tích

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