# Area Model Decimals

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Use this HTML code to display a screenshot with the words "Click to Run". زۆرکردن Decimals Area Model PhET پشتیوانی ئه بێ له لایه ن و فێرکارانێ وه ک ئێوه.

### ناوه‌ڕۆک

• زۆرکردن
• 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!

### Sample Learning Goals

• 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 1.2.1

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein K-5
HS
UG-Intro
MS
Remote
HW
فیزیا
کیمیا
بیرکاری
Area Model Decimals - Grade 6 Maura Dudley MS Guided بیرکاری
Middle School Math Sim Alignment Amanda McGarry MS دیکه‌ بیرکاری
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López MS
K-5
HW
Guided
Demo
Discuss
تاقیگه‌
بیرکاری
فیزیا
ئه‌ستێره‌ناسی
کیمیا
Albanian All shqip Modeli i Syprinës: Decimal
Arabic All العربية نموذج مساحة الأعداد العشرية
Basque All Euskara Azalera-modeloa hamartarrekin
Bosnian All Bosanski Matematički model površina - Decimalni brojevi
Brazilian Portuguese All português (Brasil) Modelo de Área: Decimais
Chinese - Simplified All 中文 (中国) 面积模型：小数
Chinese - Traditional All 中文 (台灣) Area Model Decimals_面積模型與小數
Danish All Dansk Arealmodel, decimaler
Dutch All Nederlands Oppervlakte model decimalen
Faroese All Faroese Víddir við desimalum
Finnish All suomi Pinta-alamalli desimaaleilla
French All français Modélisation par les aires avec décimales
German All Deutsch Flächenmodell Dezimalzahlen
Greek All Ελληνικά Υπολογισμός εμβαδού - Δεκαδικοί
Gujarati All Gujarati ક્ષેત્રફળનું મોડેલ - દશાંશ
Hindi All हिंदी नमूने का क्षेत्रफल - दाशमिक
Hungarian All magyar Területmodell: tizedesjegyek
Italian All italiano Rappresentazione grafica del prodotto di numeri decimali
Japanese All 日本語 面積と式の展開（小数）
Kazakh All Kazakh Ауданды ондық бөлшектермен есептеу
Korean All 한국어 면적 모형: 소수
Latvian All Latviešu Laukuma modeļa decimāldaļskaitļi
Marathi All मराठी अपूर्णांकातील क्षेत्रफळ
Mongolian All Монгол (Монгол) Талбайн Загвар Бутархайгаар
Polish All polski Model pola - ułamki dziesiętne
Russian All русский Вычисление площади с десятичными дробями
Serbian All Српски Математика преко површина-Децимални бројеви
Sinhalese All Sinhalese වර්ගඑල ආකෘති දශම
Spanish All español Modelo de Áreas: Decimales
Spanish (Mexico) All español (México) Modelo de Áreas: Decimales
Spanish (Peru) All español (Perú) Modelo de área con decimales
Swedish All svenska Areamodellen och decimaltal
Tamil All Tamil மாதிரிகளின் தசமப் பரப்பளவு
Turkish All Türkçe Alan Modelinde Çarpma İşlemi (Ondalık)
Ukrainian All українська Площинна модель десяткових дробів
Vietnamese All Tiếng Việt Số thập phân với mô hình diện tích
فارسی All فارسی مدل مساحت اعشاری ها

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