# معرفی مدل مساحت

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از این کد برای اجرای تصویری که پیغام میدهد "برای اجرا اینجا را کلیک کنید" استفاده کنید. Factors محصولات Area Model PhET حمایت می شود توسط و مدرسانی چون شما.

### محتوا

• Factors
• محصولات
• Area Model
• ضرب
• Partial Products

### Description

Build rectangles of various sizes and relate multiplication to area. Partition a rectangle into two areas to discover the distributive property.

### نمونه ای از هدف های آموزشی

• Recognize that area represents the product of two numbers.
• Develop and justify a strategy that uses the area model to simplify a multiplication problem.
• Represent a multiplication problem as the proportional area of a rectangle.
• Looks for patterns in the total area calculation.

### Standards Alignment

#### Common Core - Math

2.NBT.A.2
Count within 1000; skip-count by 5s, 10s, and 100s.
2.OA.C.4
Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.
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.
3.OA.A.1
Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
3.OA.A.3
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.1
3.OA.B.5
Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
4.OA.A.1
Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
Version 1.2.1

### Teacher-Submitted Activities

Middle School Math Sim Alignment Amanda McGarry راهنمایی سایر ریاضیات
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López راهنمایی
دبستان
کار در خانه
نمایش
Discuss
Guided
آزمایشگاه
شیمی
ریاضیات
فیزیک
نجوم
Area Model Intro Simulation Nailah Shah-Taylor دبستان Guided
Discuss
ریاضیات
آلبانیایی All shqip Modeli i Syprinës: Hyrje
آلمانی All Deutsch Flächenmodell Einführung
اسپانیایی All español Modelo de Áreas: Introducción
اسپانیایی، مکزیک All español (México) Modelo de Áreas: Introducción
اسپانیایی، پرو All español (Perú) Modelo de Área. Introducción
انگلیسی All English Area Model Introduction
اوکراینی All українська Площинна модель. Вступ
ایتالیایی All italiano Rappresentazione grafica della moltiplicazione: introduzione
باسک All Euskara Azalera-modelorako sarrera
بوسنیایی All Bosanski Matematički model površina - Uvod
ترکی All Türkçe Alan Modeline Giriş
دانمارکی All Dansk Arealmodel, introduktion
روسی All русский Основы нахождения площади
سوئدی All svenska Areamodellen -Introduktion
سینهالیس All Sinhalese වර්ගඵලය ආකෘති හඳුන්වාදීම
صرب All Српски Математика преко површина-Увод
عربی All العربية مقدمة مساحة النموذج
فرانسوی All français Introduction à la modélisation par les aires
فنلاندی All suomi Pinta-alamallin johdanto
قزاقستان All Kazakh Ауданын табудың негіздері
لتونی All Latviešu Lauka modeļa ievads
لهستانی All polski Model pola - wstęp
مجاری All magyar Területmodell: bevezetés
مراتی All मराठी क्षेत्रफळाची   तोंडओळख
مغولی All Монгол (Монгол) Талбайн Загварын Танилцуулга
هلندی All Nederlands Oppervlakte model inleiding
هندی All हिंदी नमूने का क्षेत्रफल -परिचय
ویتنامی All Tiếng Việt Giói thiệu Mô hình diện tích
پرتغالی All português Modelo de Área: Introdução
پرتغالی، برزیلی All português (Brasil) Modelo de Área: Intro
چینی،ساده شده All 中文 (中国) 面积模型入门
چینی، قدیمی All 中文 (台灣) Area Model Introduction_面積模型介紹
ژاپنی All 日本語 面積の基本
کره ای All 한국어 면적 모형: 소개
گواراتی All Gujarati ક્ષેત્રફળના મોડેલની પ્રસ્તાવના - નિકુંજ સવાણી દ્વારા
یونانی All Ελληνικά Υπολογισμός εμβαδού - Εισαγωγή

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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)
• almond-0.2.9.js
• base64-js-1.2.0.js
• FileSaver-b8054a2.js
• font-awesome-4.5.0
• game-up-camera-1.0.0.js
• he-1.1.1.js
• himalaya-0.2.7.js
• jama-1.0.2
• jquery-2.1.0.js
• lodash-4.17.4.js
• pegjs-0.7.0.js
• seedrandom-2.4.2.js
• text-2.0.12.js
• TextEncoderLite-3c9f6f0.js