Pinta-alamallilla kertominen

Pinta-alamallilla kertominen kuvakaappaus  Lataa  Upota
  • Partial Products
  • Factors
  • Kertolasku

Sisältö

  • Partial Products
  • Factors
  • Kertolasku
  • Area Model

Description

Build rectangles of various sizes and relate multiplication to area. Discover new strategies for multiplying large numbers. Use the game screen to test your problem solving strategies!

Esimerkkejä oppimistavoitteista

  • Recognize that area represents the product of two numbers and is additive.
  • Represent a multiplication problem as the area of a rectangle, proportionally or using generic area.
  • Develop and justify a strategy to determine the product of two multi-digit numbers by representing the product as an area or the sum of areas.

Standards Alignment

Common Core - Math

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.
4.NBT.B.5
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
6.EE.A.3
Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
6.EE.A.4
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for..
6.NS.B.4
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor. For example, express 36 + 8 as 4 (9 + 2)..
7.EE.A.1
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
7.NS.A.2c
Apply properties of operations as strategies to multiply and divide rational numbers.
Version 1.0.10

Teacher Tips

Opettajan opas (pdf) sisältää PhET-tiimin vinkkejä. ( PDF ).

Video Primer

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Teacher-Submitted Activities

Middle School Math Sim Alignment This contribution was designed by PhET. Amanda McGarry YK Muu Matematiikka

Kieli Download or Run Tips
Arabia All العربية Download Run now ضرب مساحة نموذج
Baski All Basque Download Run now Azalera-modeloan biderkaketa
Bosnia All Bosanski Download Run now Matematički model površina - Množenje
Brasilian portugali All português (Brasil) Download Run now Modelo de Área: Multiplicação
Englanti All English Download Run now Area Model Multiplication
Espanja All español Download Run now Modelo de Áreas: Multiplicación
Espanja (Meksiko) All español (México) Download Run now Modelo de Áreas: Multiplicación 
Espanja (Peru) All español (Perú) Download Run now Modelo de Área con multiplicación
Gudžarati All Gujarati Download Run now ક્ષેત્રફળનું ગુણાકારનું મોડેલ - નિકુંજ સવાણી દ્વારા
Hindi All हिंदी Download Run now नमूने का क्षेत्रफल - गुणन 
Hollanti All Nederlands Download Run now Oppervlakte model vermenigvuldiging
Italia All italiano Download Run now Rappresentazione grafica della moltiplicazione
Japani All 日本語 Download Run now 面積を求める
Kazakki All Kazakh Download Run now Көбейту жолымен ауданын есептеу
Kiina - perinteinen All 中文 (台灣) Download Run now Area Model Multiplication_面積模型與乘法
Kiina - yksinkertaistettu All 中文 (中国) Download Run now 面积模型乘法
Korea All 한국어 Download Run now 면적 모형: 곱셈
Kreikka All Ελληνικά Download Run now Υπολογισμός εμβαδού - Πολλαπλασιασμός
Latvia All Latviešu Download Run now Lauka modeļa reizinājums
Mongoli All Монгол (Монгол) Download Run now Талбайн Загварын Үржвэр
Portugali All português Download Run now Modelo de Área: Multiplicação
Puola All polski Download Run now Model pola - mnożenie
Ranska All français Download Run now Modélisation de la multiplication par les aires
Ruotsi All svenska Download Run now Areamodellen - Multiplikation
Saksa All Deutsch Download Run now Flächenmodell Multiplikation
Serbia All Српски Download Run now Математика преко површина-Множење
Tanska All Dansk Download Run now Arealmodel, gange
Unkari All magyar Download Run now Területmodell: szorzás
Venäjä All русский Download Run now Вычисление площади путем умножения
Vietnam All Tiếng Việt Download Run now Phép nhân với mô hình diện tích

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

iPad:
iOS 11+ Safari
iPad compatible sims

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

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

Windows Systems:
Microsoft Edge and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

Suunnitteluryhmä Kolmannen osapuolen kirjastot Kiitokset
  • 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
  • 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