# Area Model Multiplication

See simulatsioon pole veel sellesse keelde tõlgitud. Ingliskeelne versioon on saadaval allpool.

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

### Sisu

• Partial Products
• Factors
• Multiplication
• 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!

### Näidis-õpieesmärgid

• 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

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

### Teacher-Submitted Activities

Middle School Math Sim Alignment Amanda McGarry PK Muu Matemaatika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López PK
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Astronoomia
albaania All shqip Modeli i Syprinës: Shumëzimi
araabia All العربية ضرب مساحة نموذج
bosnia All Bosanski Matematički model površina - Množenje
Gujarati All Gujarati ક્ષેત્રફળનું ગુણાકારનું મોડેલ - નિકુંજ સવાણી દ્વારા
hiina (lihtsustatud) All 中文 (中国) 面积模型乘法
hiina (trad.) All 中文 (台灣) Area Model Multiplication_面積模型與乘法
Hindi All हिंदी नमूने का क्षेत्रफल - गुणन
hispaania All español Modelo de Áreas: Multiplicación
hispaania (Peruu) All español (Perú) Modelo de Área con multiplicación
hollandi All Nederlands Oppervlakte model vermenigvuldiging
itaalia All italiano Rappresentazione grafica della moltiplicazione
jaapani All 日本語 面積を求める
kasahhi All Kazakh Көбейту жолымен ауданын есептеу
korea All 한국어 면적 모형: 곱셈
kreeka All Ελληνικά Υπολογισμός εμβαδού - Πολλαπλασιασμός
läti All Latviešu Lauka modeļa reizinājums
mongoli All Монгол (Монгол) Талбайн Загварын Үржвэр
poola All polski Model pola - mnożenie
portugali All português Modelo de Área: Multiplicação
portugali (Brasiilia) All português (Brasil) Modelo de Área: Multiplicação
prantsuse All français Modélisation de la multiplication par les aires
pärsia All فارسی ضرب مدل مساحت
rootsi All svenska Areamodellen - Multiplikation
saksa All Deutsch Flächenmodell Multiplikation
serbia All Српски Математика преко површина-Множење
singali All Sinhalese වර්ගඵල ආකෘති ගුණ කිරීම
soome All suomi Pinta-alamallilla kertominen
Spanish (Mexico) All español (México) Modelo de Áreas: Multiplicación
taani All Dansk Arealmodel, gange
türgi All Türkçe Alan Modelinde Çarpma İşlemi
ukraina All українська Площинна модель множення
ungari All magyar Területmodell: szorzás
vene All русский Вычисление площади путем умножения
vietnami All Tiếng Việt Phép nhân với mô hình diện tích

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