# Area Model Algebra

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Vajuta, et mängida
Kasuta seda HTML koodi, et näidata ekraanipilti koos sõnadega ,,Vajuta, et mängida". Polynomials Factors Products PhETi toetavad ja õpetajad nagu Teiegi.

• Polynomials
• Factors
• Products

### 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!

### Näidis-õpieesmärgid

• 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

 Õpetajate juhend (pdf) sisaldab PhETi poolt loodud nõuandeid. ( PDF ).

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein ÜÕ-Sissejuhatus
PK
KK
K-5
KT
Remote
Keemia
Matemaatika
Füüsika
Expanding and Factoring Algebraic Expressions Amanda McGarry PK Guided Matemaatika
Algebraic Expressions Amanda McGarry PK Guided Matemaatika
Exploring Factoring as Undoing the Distributive Property Sarah Hampton PK
KK
Guided Matemaatika
Middle School Math Sim Alignment Amanda McGarry PK Muu Matemaatika
Using the area model with expressions Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry PK Discuss Matemaatika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López PK
KK
Muu Keemia
Füüsika
Bioloogia
Matemaatika
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López ÜÕ-Sissejuhatus
KK
Muu Matemaatika
Füüsika
Keemia
Would You Rather ... Karen Gann KK Guided Matemaatika
Area Model Algebra - Multiplying Polynomials Carolyn Felknor PK Guided Matemaatika
ARTICULANDO ÁLGEBRA E GEOMETRIA: O CASO DAS EQUAÇÕES ALGÉBRICAS NO ESTUDO DE ÁREAS Verusca Batista Alves; Ana Carolina Costa Pereira PK Pr
KT
Matemaatika
Distributive Property Review Tim Kissinger and Larry Peters PK Guided
Discuss
Matemaatika
Modelo de Áreas, Cambio de Expresiones Andrés Gualberto Palomo Cuevas KK KT
Remote
Matemaatika
albaania All shqip Modeli Syprinës: Algjebër
araabia All العربية جبر نموذج المساحة
bosnia All Bosanski Matematički model površina - Algebra
Gujarati All Gujarati ક્ષેત્રફળ મોડેલ - બીજગણિત
hiina (lihtsustatud) All 中文 (中国) 面积模型代数
hiina (trad.) All 中文 (台灣) Area Model Algebra_面積模型與代數
Hindi All हिंदी  बीजगणित -नमूने का क्षेत्रफल
hispaania All español Modelo de Áreas: Álgebra
hispaania (Peruu) All español (Perú) Modelo de Área con Álgebra
hollandi All Nederlands Algebra van oppervlakte
itaalia All italiano Rappresentazione grafica della moltiplicazione in algebra
jaapani All 日本語 面積と式の展開
kasahhi All Kazakh Ауданды есептеу
korea All 한국어 면적 모형: 대수
kreeka All Ελληνικά Υπολογισμός εμβαδού
läti All Latviešu Laukuma modeļa algebra
mongoli All Монгол (Монгол) Талбайн загварын Алгебр
poola All polski Model pola - wyrażenia algebraiczne
portugali All português Modelo de Área: Álgebra
portugali (Brasiilia) All português (Brasil) Modelo de Área: Álgebra
prantsuse All français Modélisation par les aires - Algèbre
pärsia All فارسی جبر مدل مساحت
rootsi All svenska Areamodellen och algebra
saksa All Deutsch Flächenmodell Algebra
serbia All Српски Математика преко површина - Алгебра
singali All Sinhalese වර්ගඵල ආකෘති වීජ ගණිතය
soome All suomi Pinta-ala ja algebra
Spanish (Mexico) All español (México) Modelo de Áreas: Álgebra
taani All Dansk Arealmodel, algebra
tamili All Tamil மாதிரி உருவின் எண்(அட்சர) கணிதம்
türgi All Türkçe Alan Modeli İle Cebir
ukraina All українська Площинна модель. Алгебра
ungari All magyar Területmodell: algebra
vene All русский Вычисление площади
vietnami All Tiếng Việt Đại số với mô hình diện tích

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