# Pinta-alamalli desimaaleilla   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". Kertolasku Decimals Area Model PhET-projektia tukevat ja opettajat kuten sinä.

### Sisältö

• Decimals
• Area Model
• Factors
• Partial Products

### Description

Build rectangles of various sizes and relate multiplication to area. Partition a rectangle into smaller areas and discover new strategies for multiplying decimals!

### Esimerkkejä oppimistavoitteista

• Recognize that area represents the product of two numbers and is additive.
• Develop and justify a strategy that uses the area model to simplify a decimal multiplication problem.
• Devise a strategy to determine the product of two rational numbers (or an integer and a rational number) by representing the product as an area or the sum of areas.
• Use an area model to understand why multiplying a given number by a decimal less than 1 results in a product smaller than the given number.
• Interpret the product of two rational numbers using base-ten tiles

### Standards Alignment

#### Common Core - Math

5.NF.B.4
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
5.NF.B.4a
Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
5.NF.B.4b
Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
5.NF.B.5
Interpret multiplication as scaling (resizing), by:
5.NF.B.5a
Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
5.NF.B.5b
Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.
Version 1.0.9

### Teacher-Submitted Activities

Area Model Decimals - Grade 6 Maura Dudley YK Guided Matematiikka
Arabia All العربية  نموذج مساحة الأعداد العشرية
Baski All Basque  Azalera-modeloa hamartarrekin
Bosnia All Bosanski  Matematički model površina - Decimalni brojevi
Brasilian portugali All português (Brasil)  Modelo de Área: Decimais
Englanti All English  Area Model Decimals
Espanja All español  Modelo de Áreas: Decimales
Espanja (Meksiko) All español (México)  Modelo de Áreas: Decimales
Espanja (Peru) All español (Perú)  Modelo de área con decimales
Gudžarati All Gujarati  અપૂર્ણાંકમાં ક્ષેત્રફળનું મોડેલ - નિકુંજ સવાણી દ્વારા
Hindi All हिंदी  नमूने का क्षेत्रफल - दाशमिक
Hollanti All Nederlands  Oppervlakte model decimalen
Italia All italiano  Rappresentazione grafica del prodotto di numeri decimali
Japani All 日本語  面積と式の展開（小数）
Kazakki All Kazakh  Ауданды ондық бөлшектермен есептеу
Kiina - perinteinen All 中文 (台灣)  Area Model Decimals_面積模型與小數
Kiina - yksinkertaistettu All 中文 (中国)  面积模型：小数
Korea All 한국어  면적 모형: 소수
Kreikka All Ελληνικά  Υπολογισμός εμβαδού - Δεκαδικοί
Latvia All Latviešu  Laukuma modeļa decimāldaļskaitļi
Mongoli All Монгол (Монгол)  Талбайн Загвар Бутархайгаар
Puola All polski  Model pola - ułamki dziesiętne
Ranska All français  Modélisation par les aires avec décimales
Ruotsi All svenska  Areamodellen och decimaltal
Saksa All Deutsch  Flächenmodell Dezimalzahlen
Serbia All Српски  Математика преко површина-Децимални бројеви
Tamili All Tamil  மாதிரிகளின் தசமப் பரப்பளவு
Tanska All Dansk  Arealmodel, decimaler
Unkari All magyar  Területmodell: tizedesjegyek
Venäjä All русский  Вычисление площади с десятичными дробями
Vietnam All Tiếng Việt  Số thập phân với mô hình diện tích

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

iOS 11+ 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:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

Linux Systems:

Suunnitteluryhmä Kolmannen osapuolen kirjastot Kiitokset
• Amy Hanson (lead designer)
• Amanda McGarry (co-lead)
• Jonathan Olson (developer)
• Karina Hensberry
• Susan Miller
• Ariel Paul
• Kathy Perkins
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• jama-1.0.2
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