# Area Model Introduction

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Použite tento HTML kód pre zobrazenie obrazovky simulácie s nápisom "Kliknite pre spustenie" Factors Produkty Area Model PhET podporuje a pedagógovia ako ste Vy.

### Témy

• Factors
• Produkty
• Area Model
• Násobenie
• Partial Products

### Popis

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

### Ukážkové ciele vzdelávania

• 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.
Verzia 1.2.1

### Video Primer

Prosím prihláste sa, pre sledovanie videa.

### Teacher-Submitted Activities

Middle School Math Sim Alignment Amanda McGarry ZŠ-II Iné Matematika
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López K-5
ZŠ-II
Demo
Lab
Disk
Guided
Fyzika
Chémia
Matematika
Astronómia
Projectile motion experiment jawaher bin hammad VŠ-zač Lab Fyzika
Area Model Intro Simulation Nailah Shah-Taylor K-5 Disk
Guided
Matematika
Jazyk Download or Run Tips
Albánčina All shqip Modeli i Syprinës: Hyrje
Arabčina All العربية مقدمة مساحة النموذج
Baskičtina All Euskara Azalera-modelorako sarrera
Bosnian All Bosanski Matematički model površina - Uvod
Čínština (Tradičná) All 中文 (台灣) Area Model Introduction_面積模型介紹
Čínština (Zjednodušená) All 中文 (中国) 面积模型入门
Dánčina All Dansk Arealmodel, introduktion
Fínčina All suomi Pinta-alamallin johdanto
Francúzština All français Introduction à la modélisation par les aires
Gréčtina All Ελληνικά Υπολογισμός εμβαδού - Εισαγωγή
Gujarati All Gujarati ક્ષેત્રફળના મોડેલની પ્રસ્તાવના - નિકુંજ સવાણી દ્વારા
Hindi All हिंदी नमूने का क्षेत्रफल -परिचय
Holandčina All Nederlands Oppervlakte model inleiding
Japončina All 日本語 面積の基本
Kazakh All Kazakh Ауданын табудың негіздері
Kórejčina All 한국어 면적 모형: 소개
Latvian All Latviešu Lauka modeļa ievads
Maďarčina All magyar Területmodell: bevezetés
Marathi All मराठी क्षेत्रफळाची   तोंडओळख
Mongolian All Монгол (Монгол) Талбайн Загварын Танилцуулга
Nemčina All Deutsch Flächenmodell Einführung
Perzština All فارسی معرفی مدل مساحت
Poľština All polski Model pola - wstęp
Portugalčina All português Modelo de Área: Introdução
Portugalčina (Brazília) All português (Brasil) Modelo de Área: Intro
Ruština All русский Основы нахождения площади
Sinhalese All Sinhalese වර්ගඵලය ආකෘති හඳුන්වාදීම
Srbčina All Српски Математика преко површина-Увод
Španielčina All español Modelo de Áreas: Introducción
Španielčina (Mexico) All español (México) Modelo de Áreas: Introducción
Španielčina (Peru) All español (Perú) Modelo de Área. Introducción
Švédčina All svenska Areamodellen -Introduktion
Taliančina All italiano Rappresentazione grafica della moltiplicazione: introduzione
Turečtina All Türkçe Alan Modeline Giriş
Ukrajinčina All українська Площинна модель. Вступ
Vietnamčina All Tiếng Việt Giói thiệu Mô hình diện tích

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Windows Systems:
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Macintosh Systems:
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Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

Autorský tím Iné knižnice Poďakovanie
• 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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