Azalera-modeloan algebra

Azalera-modeloan algebra Pantailak  Deskargatu  Txertatu
  • Polinomiala
  • Factoreak
  • Produktoak

Gaiak

  • Polinomiala
  • Factoreak
  • Produktoak

Deskribapena

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!

Ikaskuntzaren oinarrizko helburuak

  • 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.

Ohizko alineamenduak

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.
Bertsioa: 1.2.1

Irakasleentzako tresnak

Irakasle tresnak PDFa jetxi Irakasle-gidak (pdf) PhET taldeak sortutako tresnak ditu. ( PDF ).

Oinarrizko Bideoa

Erregistratu oinarrizko bideoa ikusteko

Irakasleak bidalitako jarduerak

Games Remote Lesson ideas A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Trish Loeblein MS (LH)
HS (BH)
Oinarrizko hezkuntza - Sarrera
K-5 (10 urte)
EL
Remote
Fisika
Kimika
Matematika
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 (LH) Gidatua Matematika
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 (LH) Gidatua 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 (BH)
MS (LH)
Gidatua Matematika
Middle School Math Sim Alignment This contribution was designed by PhET. Amanda McGarry MS (LH) Besteren bat Matematika
Using the area model with expressions This contribution was designed by PhET. Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry MS (LH) Eztabaida Matematika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) This contribution was designed by PhET. Diana López HS (BH)
MS (LH)
Besteren bat Kimika
Biologia
Matematika
Fisika
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) This contribution was designed by PhET. Diana López Oinarrizko hezkuntza - Sarrera
HS (BH)
Besteren bat Matematika
Fisika
Kimika
Would You Rather ... Karen Gann HS (BH) Gidatua Matematika
Area Model Algebra - Multiplying Polynomials Carolyn Felknor MS (LH) Gidatua Matematika
ARTICULANDO ÁLGEBRA E GEOMETRIA: O CASO DAS EQUAÇÕES ALGÉBRICAS NO ESTUDO DE ÁREAS Verusca Batista Alves; Ana Carolina Costa Pereira MS (LH) EL
Lab
Matematika
Distributive Property Review Tim Kissinger and Larry Peters MS (LH) Eztabaida
Gidatua
Matematika
Modelo de Áreas, Cambio de Expresiones Andrés Gualberto Palomo Cuevas HS (BH) EL
Remote
Matematika

Hizkuntza Deskarga eta exekutatu Aholkuak
Albanianera Dena shqip Download Run now Modeli Syprinës: Algjebër
Alemana Dena Deutsch Download Run now Flächenmodell Algebra
Arabiera Dena العربية Download Run now جبر نموذج المساحة
Bosniera Dena Bosanski Download Run now Matematički model površina - Algebra
Daniera Dena Dansk Download Run now Arealmodel, algebra
Errusiera Dena русский Download Run now Вычисление площади
Espainiera Dena español Download Run now Modelo de Áreas: Álgebra Irakasle tresnak PDFa jetxi
Espainiera (Mexico) Dena español (México) Download Run now Modelo de Áreas: Álgebra  Irakasle tresnak PDFa jetxi
Espainiera (Peru) Dena español (Perú) Download Run now Modelo de Área con Álgebra
Finlandiera Dena suomi Download Run now Pinta-ala ja algebra
Frantsesa Dena français Download Run now Modélisation par les aires - Algèbre
Grekoa Dena Ελληνικά Download Run now Υπολογισμός εμβαδού
Gujaratera Dena Gujarati Download Run now બીજગણિતનું ક્ષેત્રફળ મોડેલ -નિકુંજ સવાણી
Hindia Dena हिंदी Download Run now  बीजगणित -नमूने का क्षेत्रफल 
Hungariera Dena magyar Download Run now Területmodell: algebra
Ingelesa Dena English Download Run now Area Model Algebra
Italiera Dena italiano Download Run now Rappresentazione grafica della moltiplicazione in algebra
Japoniera Dena 日本語 Download Run now 面積と式の展開
Kazakhera Dena Kazakh Download Run now Ауданды есептеу
Koreera Dena 한국어 Download Run now 면적 모형: 대수
Letoniera Dena Latviešu Download Run now Laukuma modeļa algebra
Mongoliera Dena Монгол (Монгол) Download Run now Талбайн загварын Алгебр
Nederlandera Dena Nederlands Download Run now Algebra van oppervlakte
Persiera Dena فارسی Download Run now جبر مدل مساحت
Poloniera Dena polski Download Run now Model pola - wyrażenia algebraiczne
Portugesa Dena português Download Run now Modelo de Área: Álgebra
Portugesa (Brazil) Dena português (Brasil) Download Run now Modelo de Área: Álgebra
Serbiera Dena Српски Download Run now Математика преко површина - Алгебра
Sinhalesera Dena Sinhalese Download Run now වර්ගඵල ආකෘති වීජ ගණිතය
Suediera Dena svenska Download Run now Areamodellen och algebra
Tamilera Dena Tamil Download Run now மாதிரி உருவின் எண்(அட்சர) கணிதம்
Turkiera Dena Türkçe Download Run now Alan Modeli İle Cebir
Txinera (Simplified) Dena 中文 (中国) Download Run now 面积模型代数
Txinera (Traditional) Dena 中文 (台灣) Download Run now Area Model Algebra_面積模型與代數
Ukrainera Dena українська Download Run now Площинна модель. Алгебра Irakasle tresnak PDFa jetxi
Vietnamera Dena Tiếng Việt Download Run now Đại số với mô hình diện tích

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

iPad:
iOS 12+ 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, 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.

Diseinu ekipoa Third-party Libraries Eskerrak honako hauei:
  • 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