Matematički model površina - Algebra

Matematički model površina - Algebra Screenshot  Preuzimanje (Download)  Ugradnja (Embed)
  • Polinomi
  • Factors
  • Produkti

Sadržaj

  • Polinomi
  • Factors
  • Produkti

Description

Build rectangles of various sizes and relate multiplication to area. Discover new strategies for multiplying algebraic expressions. Use the game screen to test your multiplication and factoring skills!

Primjeri obrazovnih ciljeva

  • Develop and justify a method to use the area model to determine the product of a monomial and a binomial or the product of two binomials.
  • Factor an expression, including expressions containing a variable.
  • 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.
8.EE.C.7b
Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
Version 1.0.9

Teacher Tips

Vodič za nastavnike (pdf) sadrži savjete kreirane оd strane PhET tima. ( PDF ).

Video Primer

Please sign in to watch the video primer

Teacher-Submitted Activities

Expanding and Factoring Algebraic Expressions A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Ovu Aktivnost dizаjnirаo je PhET. Amanda McGarry MS (SŠ) Guided Matematika
Algebraic Expressions A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Ovu Aktivnost dizаjnirаo je PhET. Amanda McGarry MS (SŠ) Guided Matematika
Exploring Factoring as Undoing the Distributive Property A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Sarah Hampton HS (VŠ)
MS (SŠ)
Guided Matematika
Using the area model with expressions Ovu Aktivnost dizаjnirаo je PhET. Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry MS (SŠ) Discuss Matematika
Would You Rather ... Karen Gann HS (VŠ) Guided Matematika
Area Model Algebra - Multiplying Polynomials Carolyn Felknor MS (SŠ) Guided Matematika
ARTICULANDO ÁLGEBRA E GEOMETRIA: O CASO DAS EQUAÇÕES ALGÉBRICAS NO ESTUDO DE ÁREAS Verusca Batista Alves; Ana Carolina Costa Pereira MS (SŠ) DZ
Lab
Matematika
Distributive Property Review Tim Kissinger and Larry Peters MS (SŠ) Discuss
Guided
Matematika

Jezik Download or Run Tips
Arapski All العربية Download Run now جبر نموذج المساحة
Baskijski All Basque Download Run now Azalera-modeloan algebra
Brazilski Portugalski All português (Brasil) Download Run now Modelo de Área: Álgebra
Danski All Dansk Download Run now Arealmodel, algebra
Engleski All English Download Run now Area Model Algebra
Finski All suomi Download Run now Pinta-ala ja algebra
Francuski All français Download Run now Modélisation par les aires - Algèbre
Grčki All Ελληνικά Download Run now Υπολογισμός εμβαδού
Gujarati All Gujarati Download Run now બીજગણિતનું ક્ષેત્રફળ મોડેલ -નિકુંજ સવાણી
Hindu All हिंदी Download Run now  बीजगणित -नमूने का क्षेत्रफल 
Holandski All Nederlands Download Run now Oppervlakte model algebra
Italijanski All italiano Download Run now Rappresentazione grafica della moltiplicazione in algebra
Japanski All 日本語 Download Run now 面積と式の展開
Kazaški All Kazakh Download Run now Ауданды есептеу
Kineski - Tradicionalni All 中文 (台灣) Download Run now Area Model Algebra_面積模型與代數
Kineski - Uprošćen All 中文 (中国) Download Run now 面积模型代数
Korejski All 한국어 Download Run now 면적 모형: 대수
Letonski All Latviešu Download Run now Laukuma modeļa algebra
Mađarski All magyar Download Run now Területmodell: algebra
Mongolski All Монгол (Монгол) Download Run now Талбайн загварын Алгебр
Njemački All Deutsch Download Run now Flächenmodell Algebra
Poljski All polski Download Run now Model pola - wyrażenia algebraiczne
Portugalski All português Download Run now Modelo de Área: Álgebra
Ruski All русский Download Run now Вычисление площади
Španski All español Download Run now Modelo de Áreas: Álgebra
Španski (Meksiko) All español (México) Download Run now Modelo de Áreas: Álgebra 
Španski (Peru) All español (Perú) Download Run now Modelo de Área con Álgebra
Srpski All Српски Download Run now Математика преко површина - Алгебра
Švedski All svenska Download Run now Areamodellen och algebra
Tamilski All Tamil Download Run now மாதிரி உருவின் எண்(அட்சர) கணிதம்
Vijetnamski All Tiếng Việt Download Run now Đại số 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.

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
  • 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