# Pinta-alamallilla kertominen

 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". Partial Products Factors Kertolasku PhET-projektia tukevat The O'Donnell Foundation ja opettajat kuten sinä.

### Sisältö

• Partial Products
• Factors
• Area Model

### Description

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!

### Esimerkkejä oppimistavoitteista

• 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

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.
4.NBT.B.5
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.
6.EE.A.3
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.
6.EE.A.4
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..
6.NS.B.4
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)..
7.EE.A.1
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
7.NS.A.2c
Apply properties of operations as strategies to multiply and divide rational numbers.
Version 1.2.1

### Teacher Tips

 Opettajan opas (pdf) sisältää PhET-tiimin vinkkejä. ( PDF ).

### Teacher-Submitted Activities

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Albania All shqip Modeli i Syprinës: Shumëzimi
Arabia All العربية ضرب مساحة نموذج
Bosnia All Bosanski Matematički model površina - Množenje
Brasilian portugali All português (Brasil) Modelo de Área: Multiplicação
Englanti All English Area Model Multiplication
Espanja All español Modelo de Áreas: Multiplicación
Espanja (Meksiko) All español (México) Modelo de Áreas: Multiplicación
Espanja (Peru) All español (Perú) Modelo de Área con multiplicación
Gudžarati All Gujarati ક્ષેત્રફળનું ગુણાકારનું મોડેલ - નિકુંજ સવાણી દ્વારા
Hindi All हिंदी नमूने का क्षेत्रफल - गुणन
Hollanti All Nederlands Oppervlakte model vermenigvuldiging
Italia All italiano Rappresentazione grafica della moltiplicazione
Japani All 日本語 面積を求める
Kazakki All Kazakh Көбейту жолымен ауданын есептеу
Kiina - perinteinen All 中文 (台灣) Area Model Multiplication_面積模型與乘法
Kiina - yksinkertaistettu All 中文 (中国) 面积模型乘法
Korea All 한국어 면적 모형: 곱셈
Kreikka All Ελληνικά Υπολογισμός εμβαδού - Πολλαπλασιασμός
Latvia All Latviešu Lauka modeļa reizinājums
Mongoli All Монгол (Монгол) Талбайн Загварын Үржвэр
Persia All فارسی ضرب مدل مساحت
Portugali All português Modelo de Área: Multiplicação
Puola All polski Model pola - mnożenie
Ranska All français Modélisation de la multiplication par les aires
Ruotsi All svenska Areamodellen - Multiplikation
Saksa All Deutsch Flächenmodell Multiplikation
Serbia All Српски Математика преко површина-Множење
Sinhali All Sinhalese වර්ගඵල ආකෘති ගුණ කිරීම
Tanska All Dansk Arealmodel, gange
Turkki All Türkçe Alan Modelinde Çarpma İşlemi
Ukraina All українська Площинна модель множення
Unkari All magyar Területmodell: szorzás
Venäjä All русский Вычисление площади путем умножения
Vietnam All Tiếng Việt Phép nhân với mô hình diện tích

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:

Suunnitteluryhmä Kolmannen osapuolen kirjastot Kiitokset
• 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
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