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Created 7/7/19. Updates available online.

Area Model Introduction

Area Model Introduction Screenshot
  • Factors
  • Products
  • Area Model

Topics

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

Description

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

Sample Learning Goals

  • 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

2.NBT.A.2
Count within 1000; skip-count by 5s, 10s, and 100s.
 2.OA.C.4
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.
 3.MD.C.7
Relate area to the operations of multiplication and addition.
 3.MD.C.7c
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.
 3.MD.C.7d
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.
 3.OA.A.1
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.
 3.OA.A.3
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
 3.OA.B.5
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.)
 4.OA.A.1
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 1.0.6

Teacher-Submitted Activities

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Language Download or Run Tips
Arabic All العربية Run now مقدمة مساحة النموذج
Basque All Basque Run now Azalera-modelorako sarrera
Bosnian All Bosanski Run now Matematički model površina - Uvod
Chinese (Simplified) All 中文 (中国) Run now 面积模型入门
Chinese (Traditional) All 中文 (台灣) Run now Area Model Introduction_面積模型介紹
Danish All Dansk Run now Arealmodel, introduktion
Dutch All Nederlands Run now Oppervlakte model inleiding
Finnish All suomi Run now Pinta-alamallin johdanto
French All français Run now Introduction à la modélisation par les aires
German All Deutsch Run now Flächenmodell Einführung
Greek All Ελληνικά Run now Υπολογισμός εμβαδού - Εισαγωγή
Gujarati All Gujarati Run now ક્ષેત્રફળના મોડેલની પ્રસ્તાવના - નિકુંજ સવાણી દ્વારા
Hindi All हिंदी Run now नमूने का क्षेत्रफल -परिचय 
Hungarian All magyar Run now Területmodell: bevezetés
Italian All italiano Run now Rappresentazione grafica della moltiplicazione: introduzione
Japanese All 日本語 Run now 面積の基本
Kazakh All Kazakh Run now Ауданын табудың негіздері
Korean All 한국어 Run now 면적 모형: 소개
Latvian All Latviešu Run now Lauka modeļa ievads
Mongolian All Монгол (Монгол) Run now Талбайн Загварын Танилцуулга
Polish All polski Run now Model pola - wstęp
Portuguese All português Run now Modelo de Área: Introdução
Portuguese (Brazil) All português (Brasil) Run now Modelo de Área: Intro
Russian All русский Run now Основы нахождения площади
Serbian All Српски Run now Математика преко површина-Увод
Spanish All español Run now Modelo de Áreas: Introducción 
Spanish (Mexico) All español (México) Run now Modelo de Áreas: Introducción
Spanish (Peru) All español (Perú) Run now Modelo de Área. Introducción
Swedish All svenska Run now Areamodellen -Introduktion
Vietnamese All Tiếng Việt Run now Giói thiệu Mô hình diện tích

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