Matematički model površina - Uvod

Matematički model površina - Uvod Screenshot  Preuzimanje (Download)  Ugradnja (Embed)
  • Factors
  • Produkti
  • Area Model


  • Factors
  • Produkti
  • Area Model
  • Množenje
  • Partial Products


Build rectangles of various sizes and relate multiplication to area. Partition a rectangle into two areas to discover the distributive property.

Primjeri obrazovnih ciljeva

  • Recognize that area represents the product of two numbers.
  • Develop and justify a strategy that uses the area model to simplify a multiplication problem.
  • Represent a multiplication problem as the proportional area of a rectangle.
  • Looks for patterns in the total area calculation.

Standards Alignment

Common Core - Math

Count within 1000; skip-count by 5s, 10s, and 100s.
Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and up to 5 columns; write an equation to express the total as a sum of equal addends.
Relate area to the operations of multiplication and addition.
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.
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.
Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.1
Apply properties of operations as strategies to multiply and divide.2 Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.)
Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
Version 1.2.1

Video Primer

Please sign in to watch the video primer

Teacher-Submitted Activities

Middle School Math Sim Alignment Ovu Aktivnost dizаjnirаo je PhET. Amanda McGarry MS (SŠ) Ostalo Matematika
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Ovu Aktivnost dizаjnirаo je PhET. Diana López MS (SŠ)
K-5 (OŠ)
Area Model Intro Simulation Nailah Shah-Taylor K-5 (OŠ) Discuss

Jezik Download or Run Tips
Albanski All shqip Download Run now Modeli i Syprinës: Hyrje
Arapski All العربية Download Run now مقدمة مساحة النموذج
Baskijski All Euskara Download Run now Azalera-modelorako sarrera
Brazilski Portugalski All português (Brasil) Download Run now Modelo de Área: Intro
Danski All Dansk Download Run now Arealmodel, introduktion
Engleski All English Download Run now Area Model Introduction
Finski All suomi Download Run now Pinta-alamallin johdanto
Francuski All français Download Run now Introduction à la modélisation par les aires
Grčki All Ελληνικά Download Run now Υπολογισμός εμβαδού - Εισαγωγή
Gujarati All Gujarati Download Run now ક્ષેત્રફળના મોડેલની પ્રસ્તાવના - નિકુંજ સવાણી દ્વારા
Hindu All हिंदी Download Run now नमूने का क्षेत्रफल -परिचय 
Holandski All Nederlands Download Run now Oppervlakte model inleiding
Italijanski All italiano Download Run now Rappresentazione grafica della moltiplicazione: introduzione
Japanski All 日本語 Download Run now 面積の基本
Kazaški All Kazakh Download Run now Ауданын табудың негіздері
Kineski - Tradicionalni All 中文 (台灣) Download Run now Area Model Introduction_面積模型介紹
Kineski - Uprošćen All 中文 (中国) Download Run now 面积模型入门
Korejski All 한국어 Download Run now 면적 모형: 소개
Letonski All Latviešu Download Run now Lauka modeļa ievads
Mađarski All magyar Download Run now Területmodell: bevezetés
Mongolski All Монгол (Монгол) Download Run now Талбайн Загварын Танилцуулга
Njemački All Deutsch Download Run now Flächenmodell Einführung
Persijski All فارسی Download Run now معرفی مدل مساحت
Poljski All polski Download Run now Model pola - wstęp
Portugalski All português Download Run now Modelo de Área: Introdução
Ruski All русский Download Run now Основы нахождения площади
Sinhaležanski All Sinhalese Download Run now වර්ගඵලය ආකෘති හඳුන්වාදීම
Španski All español Download Run now Modelo de Áreas: Introducción 
Španski (Meksiko) All español (México) Download Run now Modelo de Áreas: Introducción
Španski (Peru) All español (Perú) Download Run now Modelo de Área. Introducción
Srpski All Српски Download Run now Математика преко површина-Увод
Švedski All svenska Download Run now Areamodellen -Introduktion
Turski All Türkçe Download Run now Alan Modeline Giriş
Ukrajinski All українська Download Run now Площинна модель. Вступ
Vijetnamski All Tiếng Việt Download Run now Giói thiệu Mô hình diện tích

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

iOS 12+ Safari
iPad compatible sims

Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.12+, Safari 12+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact with troubleshooting issues.

Dizajn tim Nezavisne baze i biblioteke Hvala:
  • Amy Hanson (lead designer)
  • Amanda McGarry (co-lead)
  • 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
  • TextEncoderLite-3c9f6f0.js