Area Model Multiplication

This simulation has not been translated into this language. You can still access the English version below.

Area Model Multiplication وێنه‌ی شاشه‌  دابه‌زێن  Embed
  • Partial Products
  • Factors
  • زۆرکردن

ناوه‌ڕۆک

  • Partial Products
  • Factors
  • زۆرکردن
  • 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!

Sample Learning Goals

  • 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 1.0.10

Teacher Tips

Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

Video Primer

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Teacher-Submitted Activities

Middle School Math Sim Alignment This contribution was designed by PhET. Amanda McGarry MS دیکه‌ بیرکاری

زوان Download or Run Tips
Arabic All العربية Download Run now ضرب مساحة نموذج
Basque All Basque Download Run now Azalera-modeloan biderkaketa
Bosnian All Bosanski Download Run now Matematički model površina - Množenje
Brazilian Portuguese All português (Brasil) Download Run now Modelo de Área: Multiplicação
Chinese - Simplified All 中文 (中国) Download Run now 面积模型乘法
Chinese - Traditional All 中文 (台灣) Download Run now Area Model Multiplication_面積模型與乘法
Danish All Dansk Download Run now Arealmodel, gange
Dutch All Nederlands Download Run now Oppervlakte model vermenigvuldiging
Finnish All suomi Download Run now Pinta-alamallilla kertominen
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Hindi All हिंदी Download Run now नमूने का क्षेत्रफल - गुणन 
Hungarian All magyar Download Run now Területmodell: szorzás
Italian All italiano Download Run now Rappresentazione grafica della moltiplicazione
Japanese All 日本語 Download Run now 面積を求める
Kazakh All Kazakh Download Run now Көбейту жолымен ауданын есептеу
Korean All 한국어 Download Run now 면적 모형: 곱셈
Latvian All Latviešu Download Run now Lauka modeļa reizinājums
Mongolian All Монгол (Монгол) Download Run now Талбайн Загварын Үржвэр
Polish All polski Download Run now Model pola - mnożenie
Portuguese All português Download Run now Modelo de Área: Multiplicação
Russian All русский Download Run now Вычисление площади путем умножения
Serbian All Српски Download Run now Математика преко површина-Множење
Spanish All español Download Run now Modelo de Áreas: Multiplicación
Spanish (Mexico) All español (México) Download Run now Modelo de Áreas: Multiplicación 
Spanish (Peru) All español (Perú) Download Run now Modelo de Área con multiplicación
Swedish All svenska Download Run now Areamodellen - Multiplikation
Vietnamese All Tiếng Việt Download Run now Phép nhân với mô hình diện tích

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iPad:
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Android:
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Linux Systems:
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Design Team Third-party Libraries سوپاس بۆ
  • Amy Hanson (lead designer)
  • Amanda McGarry (co-lead)
  • Jonathan Olson (developer)
  • Karina Hensberry
  • Susan Miller
  • Ariel Paul
  • Kathy Perkins
  • Mariah Hermsmeyer (artwork)
  • Diana López Tavares (artwork)
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