# Area Model Multiplication

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### Contidos

• Partial Products
• Factors
• Multiplicación
• Area Model

### Description

Build rectangles of various sizes and relate multiplication to area. Discover new strategies for multiplying large numbers. Use the game screen to test your problem solving strategies!

### Obxectivos de Aprendizaxe

• 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.
Version 1.2.1

### Teacher Tips

 A guía de profesores (pdf) contén consellos creados polo equipo PhET. ( PDF ).

### Teacher-Submitted Activities

Middle School Math Sim Alignment Amanda McGarry S.O. Outro Matemáticas
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López S.O.
BAC
Outro Matemáticas
Bioloxía
Física
Química
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López BAC
U-Inicio
Outro Matemáticas
Química
Física
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López S.O.
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Albanian All shqip Modeli i Syprinës: Shumëzimi
Arabic All العربية ضرب مساحة نموذج
Basque All Euskara Azalera-modeloan biderkaketa
Bosnian All Bosanski Matematički model površina - Množenje
Chinese (China) All 中文 (中国) 面积模型乘法
Chinese (Taiwan) All 中文 (台灣) Area Model Multiplication_面積模型與乘法
Danish All Dansk Arealmodel, gange
Dutch All Nederlands Oppervlakte model vermenigvuldiging
Finnish All suomi Pinta-alamallilla kertominen
French All français Modélisation de la multiplication par les aires
German All Deutsch Flächenmodell Multiplikation
Greek All Ελληνικά Υπολογισμός εμβαδού - Πολλαπλασιασμός
Gujarati All Gujarati ક્ષેત્રફળનું ગુણાકારનું મોડેલ - નિકુંજ સવાણી દ્વારા
Hindi All हिंदी नमूने का क्षेत्रफल - गुणन
Hungarian All magyar Területmodell: szorzás
Italian All italiano Rappresentazione grafica della moltiplicazione
Japanese All 日本語 面積を求める
Kazakh All Kazakh Көбейту жолымен ауданын есептеу
Korean All 한국어 면적 모형: 곱셈
Latvian All Latviešu Lauka modeļa reizinājums
Mongolian All Монгол (Монгол) Талбайн Загварын Үржвэр
Persian All فارسی ضرب مدل مساحت
Polish All polski Model pola - mnożenie
Portuguese All português Modelo de Área: Multiplicação
Portuguese (Brazil) All português (Brasil) Modelo de Área: Multiplicação
Russian All русский Вычисление площади путем умножения
Serbian All Српски Математика преко површина-Множење
Sinhalese All Sinhalese වර්ගඵල ආකෘති ගුණ කිරීම
Spanish All español Modelo de Áreas: Multiplicación
Spanish (Mexico) All español (México) Modelo de Áreas: Multiplicación
Spanish (Peru) All español (Perú) Modelo de Área con multiplicación
Swedish All svenska Areamodellen - Multiplikation
Turkish All Türkçe Alan Modelinde Çarpma İşlemi
Ukrainian All українська Площинна модель множення
Vietnamese All Tiếng Việt Phép nhân với mô hình diện tích

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