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### コンテンツ

• Factors
• 生成物
• Area Model
• 掛け算
• Partial Products

### Description

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

### 学習目標例

• 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

PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López 中学

Guided

Discuss

Middle School Math Sim Alignment Amanda McGarry 中学 その他 数学
Area Model Intro Simulation Nailah Shah-Taylor 小学 Discuss
Guided

アラビア語 All العربية  مقدمة مساحة النموذج
アルバニア語 All shqip  Modeli i Syprinës: Hyrje
イタリア語 All italiano  Rappresentazione grafica della moltiplicazione: introduzione
ウクライナ語 All українська  Площинна модель. Вступ
オランダ語 All Nederlands  Oppervlakte model inleiding
カザフ語 All Kazakh  Ауданын табудың негіздері
ギリシャ語 All Ελληνικά  Υπολογισμός εμβαδού - Εισαγωγή
グジャラート語 All Gujarati  ક્ષેત્રફળના મોડેલની પ્રસ્તાવના - નિકુંજ સવાણી દ્વારા
シンハラ語 All Sinhalese  වර්ගඵලය ආකෘති හඳුන්වාදීම
スウェーデン語 All svenska  Areamodellen -Introduktion
スペイン語 All español  Modelo de Áreas: Introducción
スペイン語（ペルー） All español (Perú)  Modelo de Área. Introducción
スペイン語（メキシコ） All español (México)  Modelo de Áreas: Introducción
セルビア語 All Српски  Математика преко површина-Увод
デンマーク語 All Dansk  Arealmodel, introduktion
ドイツ語 All Deutsch  Flächenmodell Einführung
トルコ語 All Türkçe  Alan Modeline Giriş
バスク語 All Euskara  Azalera-modelorako sarrera
ハンガリー語 All magyar  Területmodell: bevezetés
ヒンディー語 All हिंदी  नमूने का क्षेत्रफल -परिचय
フィンランド語 All suomi  Pinta-alamallin johdanto
ブラジルポルトガル語 All português (Brasil)  Modelo de Área: Intro
フランス語 All français  Introduction à la modélisation par les aires
ベトナム語 All Tiếng Việt  Giói thiệu Mô hình diện tích
ペルシャ語 All فارسی  معرفی مدل مساحت
ボスニア語 All Bosanski  Matematički model površina - Uvod
ポルトガル語 All português  Modelo de Área: Introdução
ポーランド語 All polski  Model pola - wstęp
マラッタ語 All मराठी  क्षेत्रफळाची   तोंडओळख
モンゴル語 All Монгол (Монгол)  Талбайн Загварын Танилцуулга
ラトビア語 All Latviešu  Lauka modeļa ievads
ロシア語 All русский  Основы нахождения площади

HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iOS 12+ Safari

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:

Macintosh Systems:

Linux Systems:

デザインチーム サードパーティのライブラリ 謝辞
• Jonathan Olson (developer)
• Karina Hensberry
• Susan Miller
• Ariel Paul
• Kathy Perkins
• Mariah Hermsmeyer (artwork)
• Diana López Tavares (artwork)
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