Area Model Decimals

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Area Model Decimals Ekraanipilt  Lae alla  Manusta
  • Multiplication
  • Decimals
  • Area Model


  • Multiplication
  • Decimals
  • Area Model
  • Factors
  • Partial Products


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


  • 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

Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
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.)
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.
Interpret multiplication as scaling (resizing), by:
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.
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 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Selle kaastöö koostas PhET. Trish Loeblein PK
Area Model Decimals - Grade 6 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Maura Dudley PK Guided Matemaatika
Middle School Math Sim Alignment Selle kaastöö koostas PhET. Amanda McGarry PK Muu Matemaatika
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Selle kaastöö koostas PhET. Diana López K-5

Keel Download or Run Tips
albaania All shqip Download Run now Modeli i Syprinës: Decimal
araabia All العربية Download Run now نموذج مساحة الأعداد العشرية
baski All Euskara Download Run now Azalera-modeloa hamartarrekin
bosnia All Bosanski Download Run now Matematički model površina - Decimalni brojevi
Gujarati All Gujarati Download Run now ક્ષેત્રફળનું મોડેલ - દશાંશ
hiina (lihtsustatud) All 中文 (中国) Download Run now 面积模型:小数
hiina (trad.) All 中文 (台灣) Download Run now Area Model Decimals_面積模型與小數
Hindi All हिंदी Download Run now नमूने का क्षेत्रफल - दाशमिक 
hispaania All español Download Run now Modelo de Áreas: Decimales 
hispaania (Peruu) All español (Perú) Download Run now Modelo de área con decimales
hollandi All Nederlands Download Run now Oppervlakte model decimalen
itaalia All italiano Download Run now Rappresentazione grafica del prodotto di numeri decimali
jaapani All 日本語 Download Run now 面積と式の展開(小数)
kasahhi All Kazakh Download Run now Ауданды ондық бөлшектермен есептеу
korea All 한국어 Download Run now 면적 모형: 소수
kreeka All Ελληνικά Download Run now Υπολογισμός εμβαδού - Δεκαδικοί
läti All Latviešu Download Run now Laukuma modeļa decimāldaļskaitļi
marathi All मराठी Download Run now अपूर्णांकातील क्षेत्रफळ 
mongoli All Монгол (Монгол) Download Run now Талбайн Загвар Бутархайгаар
poola All polski Download Run now Model pola - ułamki dziesiętne
portugali (Brasiilia) All português (Brasil) Download Run now Modelo de Área: Decimais
prantsuse All français Download Run now Modélisation par les aires avec décimales
pärsia All فارسی Download Run now مدل مساحت اعشاری ها
rootsi All svenska Download Run now Areamodellen och decimaltal
saksa All Deutsch Download Run now Flächenmodell Dezimalzahlen
serbia All Српски Download Run now Математика преко површина-Децимални бројеви
singali All Sinhalese Download Run now වර්ගඑල ආකෘති දශම
soome All suomi Download Run now Pinta-alamalli desimaaleilla
Spanish (Mexico) All español (México) Download Run now Modelo de Áreas: Decimales
taani All Dansk Download Run now Arealmodel, decimaler
tamili All Tamil Download Run now மாதிரிகளின் தசமப் பரப்பளவு
türgi All Türkçe Download Run now Alan Modelinde Çarpma İşlemi (Ondalık)
ukraina All українська Download Run now Площинна модель десяткових дробів
ungari All magyar Download Run now Területmodell: tizedesjegyek
vene All русский Download Run now Вычисление площади с десятичными дробями
vietnami All Tiếng Việt Download Run now Số thập phân với mô hình diện tích

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