Area Model Algebra

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Tampilan Layar Area Model Algebra  Unduh  Sertaan
  • Polinomial
  • Factors
  • Produk

Isi

  • Polinomial
  • Factors
  • Produk

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!

Contoh Tujuan Pengajaran

  • 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 1.0.10

Teacher Tips

Panduan Bagi Guru (pdf) memuat petunjuk / tip yang dibuat oleh Tim PhET. ( PDF ).

Video Primer

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Teacher-Submitted Activities

Expanding and Factoring Algebraic Expressions A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry MS Guided Mathematics
Algebraic Expressions A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry MS Guided Mathematics
Exploring Factoring as Undoing the Distributive Property A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Sarah Hampton MS
HS
Guided Mathematics
Middle School Math Sim Alignment This contribution was designed by PhET. Amanda McGarry MS Other Mathematics
Using the area model with expressions This contribution was designed by PhET. Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry MS Discuss Mathematics
Would You Rather ... Karen Gann HS Guided Mathematics
Area Model Algebra - Multiplying Polynomials Carolyn Felknor MS Guided Mathematics
ARTICULANDO ÁLGEBRA E GEOMETRIA: O CASO DAS EQUAÇÕES ALGÉBRICAS NO ESTUDO DE ÁREAS Verusca Batista Alves; Ana Carolina Costa Pereira MS HW
Lab
Mathematics
Distributive Property Review Tim Kissinger and Larry Peters MS Discuss
Guided
Mathematics

Bahasa Download or Run Tips
Arabic All العربية Download Run now جبر نموذج المساحة
Basque All Basque Download Run now Azalera-modeloan algebra
Bosnian All Bosanski Download Run now Matematički model površina - Algebra
Brazilian Portuguese All português (Brasil) Download Run now Modelo de Área: Álgebra
Chinese - Simplified All 中文 (中国) Download Run now 面积模型代数
Chinese - Traditional All 中文 (台灣) Download Run now Area Model Algebra_面積模型與代數
Danish All Dansk Download Run now Arealmodel, algebra
Dutch All Nederlands Download Run now Oppervlakte model algebra
Finnish All suomi Download Run now Pinta-ala ja algebra
French All français Download Run now Modélisation par les aires - Algèbre
German All Deutsch Download Run now Flächenmodell Algebra
Greek All Ελληνικά Download Run now Υπολογισμός εμβαδού
Gujarati All Gujarati Download Run now બીજગણિતનું ક્ષેત્રફળ મોડેલ -નિકુંજ સવાણી
Hindi All हिंदी Download Run now  बीजगणित -नमूने का क्षेत्रफल 
Hungarian All magyar Download Run now Területmodell: algebra
Italian All italiano Download Run now Rappresentazione grafica della moltiplicazione in algebra
Japanese All 日本語 Download Run now 面積と式の展開
Kazakh All Kazakh Download Run now Ауданды есептеу
Korean All 한국어 Download Run now 면적 모형: 대수
Latvian All Latviešu Download Run now Laukuma modeļa algebra
Mongolian All Монгол (Монгол) Download Run now Талбайн загварын Алгебр
Polish All polski Download Run now Model pola - wyrażenia algebraiczne
Portuguese All português Download Run now Modelo de Área: Álgebra
Russian All русский Download Run now Вычисление площади
Serbian All Српски Download Run now Математика преко површина - Алгебра
Spanish All español Download Run now Modelo de Áreas: Álgebra
Spanish (Mexico) All español (México) Download Run now Modelo de Áreas: Álgebra 
Spanish (Peru) All español (Perú) Download Run now Modelo de Área con Álgebra
Swedish All svenska Download Run now Areamodellen och algebra
Tamil All Tamil Download Run now மாதிரி உருவின் எண்(அட்சர) கணிதம்
Vietnamese All Tiếng Việt Download Run now Đại số với mô hình diện tích

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iPad:
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Android:
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Chromebook:
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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.

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