# Area Model Decimals

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Kliknite pre spustenie
Použite tento HTML kód pre zobrazenie obrazovky simulácie s nápisom "Kliknite pre spustenie" Násobenie Decimals Area Model PhET podporuje a pedagógovia ako ste Vy.

### Témy

• Násobenie
• Decimals
• Area Model
• Factors
• Partial Products

### Popis

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

### Ukážkové ciele vzdelávania

• 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.
Verzia 1.2.1

### Teacher-Submitted Activities

Games Remote Lesson ideas  Trish Loeblein VŠ-zač

ZŠ-II
K-5

Remote
Chémia
Fyzika
Matematika
Area Model Decimals - Grade 6 Maura Dudley ZŠ-II Guided Matematika
Middle School Math Sim Alignment Amanda McGarry ZŠ-II Iné Matematika
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López K-5
ZŠ-II

Disk
Lab
Guided
Demo
Chémia
Matematika
Astronómia
Fyzika
Albánčina All shqip  Modeli i Syprinës: Decimal
Arabčina All العربية  نموذج مساحة الأعداد العشرية
Baskičtina All Euskara  Azalera-modeloa hamartarrekin
Bosnian All Bosanski  Matematički model površina - Decimalni brojevi
Čínština (Tradičná) All 中文 (台灣)  Area Model Decimals_面積模型與小數
Čínština (Zjednodušená) All 中文 (中国)  面积模型：小数
Dánčina All Dansk  Arealmodel, decimaler
Fínčina All suomi  Pinta-alamalli desimaaleilla
Francúzština All français  Modélisation par les aires avec décimales
Gréčtina All Ελληνικά  Υπολογισμός εμβαδού - Δεκαδικοί
Gujarati All Gujarati  ક્ષેત્રફળનું મોડેલ - દશાંશ
Hindi All हिंदी  नमूने का क्षेत्रफल - दाशमिक
Holandčina All Nederlands  Oppervlakte model decimalen
Japončina All 日本語  面積と式の展開（小数）
Kazakh All Kazakh  Ауданды ондық бөлшектермен есептеу
Kórejčina All 한국어  면적 모형: 소수
Latvian All Latviešu  Laukuma modeļa decimāldaļskaitļi
Maďarčina All magyar  Területmodell: tizedesjegyek
Marathi All मराठी  अपूर्णांकातील क्षेत्रफळ
Mongolian All Монгол (Монгол)  Талбайн Загвар Бутархайгаар
Nemčina All Deutsch  Flächenmodell Dezimalzahlen
Perzština All فارسی  مدل مساحت اعشاری ها
Poľština All polski  Model pola - ułamki dziesiętne
Portugalčina (Brazília) All português (Brasil)  Modelo de Área: Decimais
Ruština All русский  Вычисление площади с десятичными дробями
Sinhalese All Sinhalese  වර්ගඑල ආකෘති දශම
Srbčina All Српски  Математика преко површина-Децимални бројеви
Španielčina All español  Modelo de Áreas: Decimales
Španielčina (Mexico) All español (México)  Modelo de Áreas: Decimales
Španielčina (Peru) All español (Perú)  Modelo de área con decimales
Švédčina All svenska  Areamodellen och decimaltal
Taliančina All italiano  Rappresentazione grafica del prodotto di numeri decimali
Tamil All Tamil  மாதிரிகளின் தசமப் பரப்பளவு
Turečtina All Türkçe  Alan Modelinde Çarpma İşlemi (Ondalık)
Ukrajinčina All українська  Площинна модель десяткових дробів
Vietnamčina All Tiếng Việt  Số thập phân với mô hình diện tích

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