# Pinta-alamallin johdanto

 Lataa Upota sulje Upota tämän simulaatio toiselle verkkosivulle Käytä tätä HTML-koodia upottaaksesi simulaation haluamallesi verkkosivulle. Voit muuttaa simulaation leveyttä ja korkeutta muuttamalla koodin "width" ja "height" attribuutteja. Upota kuva, joka käynnistää simulaation sitä klikatessa.
Käynnistä klikkaamalla
Käytä tätä HTML-koodia näyttääksesi kuvakaappauksen, jossa lukee "Käynnistä klikkaamalla". Factors Tuotteet Area Model PhET-projektia tukevat ja opettajat kuten sinä.

### Sisältö

• Factors
• Tuotteet
• Area Model
• Kertolasku
• Partial Products

### Description

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

### Esimerkkejä oppimistavoitteista

• 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

### Video Primer

Please sign in to watch the video primer

### Teacher-Submitted Activities

Middle School Math Sim Alignment Amanda McGarry YK Muu Matematiikka
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López K-5
YK
Demo
Guided
Kotiteht
Discuss
Labra
Kemia
Astronomia
Fysiikka
Matematiikka
Area Model Intro Simulation Nailah Shah-Taylor K-5 Discuss
Guided
Matematiikka
Kieli Download or Run Tips
Albania All shqip Modeli i Syprinës: Hyrje
Arabia All العربية مقدمة مساحة النموذج
Baski All Euskara Azalera-modelorako sarrera
Bosnia All Bosanski Matematički model površina - Uvod
Brasilian portugali All português (Brasil) Modelo de Área: Intro
Englanti All English Area Model Introduction
Espanja All español Modelo de Áreas: Introducción
Espanja (Meksiko) All español (México) Modelo de Áreas: Introducción
Espanja (Peru) All español (Perú) Modelo de Área. Introducción
Gudžarati All Gujarati ક્ષેત્રફળના મોડેલની પ્રસ્તાવના - નિકુંજ સવાણી દ્વારા
Hindi All हिंदी नमूने का क्षेत्रफल -परिचय
Hollanti All Nederlands Oppervlakte model inleiding
Italia All italiano Rappresentazione grafica della moltiplicazione: introduzione
Japani All 日本語 面積の基本
Kazakki All Kazakh Ауданын табудың негіздері
Kiina - perinteinen All 中文 (台灣) Area Model Introduction_面積模型介紹
Kiina - yksinkertaistettu All 中文 (中国) 面积模型入门
Korea All 한국어 면적 모형: 소개
Kreikka All Ελληνικά Υπολογισμός εμβαδού - Εισαγωγή
Latvia All Latviešu Lauka modeļa ievads
Marathi All मराठी क्षेत्रफळाची   तोंडओळख
Mongoli All Монгол (Монгол) Талбайн Загварын Танилцуулга
Persia All فارسی معرفی مدل مساحت
Portugali All português Modelo de Área: Introdução
Puola All polski Model pola - wstęp
Ranska All français Introduction à la modélisation par les aires
Ruotsi All svenska Areamodellen -Introduktion
Saksa All Deutsch Flächenmodell Einführung
Serbia All Српски Математика преко површина-Увод
Sinhali All Sinhalese වර්ගඵලය ආකෘති හඳුන්වාදීම
Tanska All Dansk Arealmodel, introduktion
Turkki All Türkçe Alan Modeline Giriş
Ukraina All українська Площинна модель. Вступ
Unkari All magyar Területmodell: bevezetés
Venäjä All русский Основы нахождения площади
Vietnam All Tiếng Việt Giói thiệu Mô hình diện tích

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

iPad:
iOS 12+ Safari
iPad compatible sims

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

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.13+, Safari 13+, latest version of Chrome.

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

Suunnitteluryhmä Kolmannen osapuolen kirjastot Kiitokset
• 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