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### Temas

• Equations
• Inequalities
• Razonamiento Proporcional

### Descripción

Explore what it means for a mathematical statement to be balanced or unbalanced by interacting with objects on a balance. Find all the ways to balance cats and dogs or apples and oranges.

### Objetivos de Aprendizaje

• Use a balance model to solve an equation for an unknown, and justify your strategies for solving
• Use proportional reasoning to determine the value of a single object

### Standards Alignment

#### Common Core - Math

6.EE.B.5
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
6.EE.B.6
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
7.EE.B.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making \$25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or \$2.50, for a new salary of \$27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
7.EE.B.4
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
8.EE.C.7
Solve linear equations in one variable.
8.EE.C.7a
Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).
8.EE.C.8
Analyze and solve pairs of simultaneous linear equations.
HSA-CED.A.1
Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
HSA-CED.A.3
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
HSA-REI.A.1
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
HSA-REI.B.3
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Versión 1.0.10

### Consejos para Profesores

 Resumen de controles, simplificaciones del modelo y percepciones frente al pensamiento de los estudiantes ( PDF ).

Middle School Math Sim Alignment Amanda McGarry EM Otro Matemáticas
Explorador da igualdade: básico Ana Maria Silva Guedes e Francisco Regis Vieira Alves EM Lab Matemáticas
Idioma Descargar o Ejecutar Tips
Alemán All Deutsch Gleichheit schaffen: Grundlagen
Árabe All العربية مستكشف المساواة: أساسيات
Bosnio All Bosanski Istraživač jednačina: Osnove
Chino - Simplificado All 中文 (中国) 等式探索:基础
Chino - Tradicional All 中文 (台灣) Equality Explorer: Basics_探索等式：基礎
Coreano All 한국어 등식 연습하기: 기초
Danés All Dansk Ligevægts-visning: Basis
Eslovaco All Slovenčina Skúmanie rovnosti: Základy
Francés All français Explorateur d'équations : les bases
Griego All Ελληνικά Εξερευνητής εξισώσεων: τα βασικά
Hindi All हिंदी समानता का पता करें : मूल बातें
Holandés All Nederlands Ontdek gelijkheid: eenvoudig
Húngaro All magyar Egyenlőségvizsgálat: alapok
Inglés All English Equality Explorer: Basics
Italiano All italiano Esplora le uguaglianze: introduzione
Japonés All 日本語 つり合いを作ろう:ベーシック
Kazako All Kazakh Теңдік: Негіздері
Latón All Latviešu Vienādību pētīšana: Pamati
Mongol All Монгол (Монгол) Тэнцэтгэл Судлах: Үндсэн
Polaco All polski Poznajemy równania - podstawy
Ruso All русский Равенства: Основы
Serbio All Српски Истраживач једначина: Основе
Sueco All svenska Utforska likheter: Grunder
Vasco All Basque Berdintasun-esploratzailea: oinarrizkoak
Vietnamés All Tiếng Việt Đẳng thức: những điều cơ bản

### HTML5 sims:

Las nuevas simulaciones HTML5 se pueden ejecutar en iPads y Chromebooks, al igual que en PC, Mac, y sistemas Linux.

iOS 9+ Safari
Los iPad2 o posteriores soportan las simulaciones HTML5 de PhET. Para conocer las simulaciones compatibles con iPad haga clic aquí.

Android:
No soportado de manera oficial. Si está usando las simulaciones HTML5 en Android, le recomendamos usar la última versión de Google Chrome y Android 4.1+.

Chromebook:
Todos los Chromebook soportan las simulaciones HTML5 y Flash de PhET. Para conocer las simulaciones compatibles con Chromebook haga clic aquí.

Sistemas Windows
Microsoft Edge e Internet Explorer 11, última versión de Firefox, última versión de Google Chrome.

Sistemas Macintosh:
OS 10.9.5 o posterior, Safari 9+, última versión de Firefox, última versión de Chrome.

Sistemas Linux:
No soportado de manera oficial. Por favor contacte a phethelp@colorado.edu para solucionar problemas.

### simulaciones Java y Flash:

Las simulaciones Java y Flash se ejecutarán en la mayoría de los PC, Mac, y sistemas Linux. Los requisitos detallados del sistema para ejecutar las simulaciones originales son los siguientes:

Sistemas Windows:
Windows 10, 8.1, 7
RAM: 256 MB
Navegadores: Microsoft Edge e Internet Explorer 11, Firefox, Chrome
Última versión de Java

Sistemas Macintosh:
Mac OS X 10.9.5+
Privilegios de administración para la instalación.
Se requiere de un navegador 64-bit (por ejemplo Safari, Firefox, o Chrome) para ejecutar Oracle Java en Mac OS X.
Última versión de Java

Sistemas Linux:
Oracle Linux 5.5+1
Oracle Linux 6.x (32-bit), 6.x (64-bit)2
Oracle Linux 7.x (64-bit)2
Red Hat Enterprise Linux 5.5+1, 6.x (32-bit), 6.x (64-bit)2
Ubuntu Linux 12.04 LTS, 13.x
Servidor Suse Linux Enterprise 10 SP2+, 11.x
última versión de Java

Equipo de Diseño Librerías de Terceros Gracias a
• Chris Malley (developer)
• Diana López Tavares
• Ariel Paul
• Kathy Perkins
• Argenta Price
• David Webb
• Mariah Hermsmeyer (graphic arts)
• Cheryl McCutchan (graphic arts)
• almond-0.2.9.js
• base64-js-1.2.0.js
• easing-equations-r12
• 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
• Tween-r12.js