Area Model Multiplication

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تصویر صفحهArea Model Multiplication  دانلود  Embed کردن
  • Partial Products
  • Factors
  • ضرب


  • Partial Products
  • Factors
  • ضرب
  • Area Model


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!

نمونه ای از هدف های آموزشی

  • 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

Relate area to the operations of multiplication and addition.
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.
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.
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.
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.
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..
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)..
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Apply properties of operations as strategies to multiply and divide rational numbers.
Version 1.0.11

Teacher Tips

راهنمای معلم مجموعه توصیه های تولید شده توسط گروه PHET به صورت pdf. ( PDF ).

Video Primer

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Teacher-Submitted Activities

Middle School Math Sim Alignment این بخش توسط PhET طراحی شده است. Amanda McGarry راهنمایی سایر ریاضیات

زبان Download or Run Tips
آلمانی All Deutsch Download Run now Flächenmodell Multiplikation
اسپانیایی All español Download Run now Modelo de Áreas: Multiplicación
اسپانیایی، مکزیک All español (México) Download Run now Modelo de Áreas: Multiplicación 
اسپانیایی، پرو All español (Perú) Download Run now Modelo de Área con multiplicación
ایتالیایی All italiano Download Run now Rappresentazione grafica della moltiplicazione
باسک All Euskara Download Run now Azalera-modeloan biderkaketa
بوسنیایی All Bosanski Download Run now Matematički model površina - Množenje
دانمارکی All Dansk Download Run now Arealmodel, gange
روسی All русский Download Run now Вычисление площади путем умножения
سوئدی All svenska Download Run now Areamodellen - Multiplikation
صرب All Српски Download Run now Математика преко површина-Множење
عربی All العربية Download Run now ضرب مساحة نموذج
فرانسوی All français Download Run now Modélisation de la multiplication par les aires
فنلاندی All suomi Download Run now Pinta-alamallilla kertominen
قزاقستان All Kazakh Download Run now Көбейту жолымен ауданын есептеу
لتونی All Latviešu Download Run now Lauka modeļa reizinājums
لهستانی All polski Download Run now Model pola - mnożenie
مجاری All magyar Download Run now Területmodell: szorzás
مغولی All Монгол (Монгол) Download Run now Талбайн Загварын Үржвэр
هلندی All Nederlands Download Run now Oppervlakte model vermenigvuldiging
هندی All हिंदी Download Run now नमूने का क्षेत्रफल - गुणन 
ویتنامی All Tiếng Việt Download Run now Phép nhân với mô hình diện tích
پرتغالی All português Download Run now Modelo de Área: Multiplicação
پرتغالی، برزیلی All português (Brasil) Download Run now Modelo de Área: Multiplicação
چینی،ساده شده All 中文 (中国) Download Run now 面积模型乘法
چینی، قدیمی All 中文 (台灣) Download Run now Area Model Multiplication_面積模型與乘法
ژاپنی All 日本語 Download Run now 面積を求める
کره ای All 한국어 Download Run now 면적 모형: 곱셈
گواراتی All Gujarati Download Run now ક્ષેત્રફળનું ગુણાકારનું મોડેલ - નિકુંજ સવાણી દ્વારા
یونانی All Ελληνικά Download Run now Υπολογισμός εμβαδού - Πολλαπλασιασμός

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Windows Systems:
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گروه طراحی Third-party Libraries با تشکر از
  • 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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