# Equality Explorer: Basics

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بۆ به‌ڕێوه‌ بردن کلیک بکه‌
Use this HTML code to display a screenshot with the words "Click to Run". Equations Inequalities Proportional Reasoning PhET پشتیوانی ئه بێ له لایه ن و فێرکارانێ وه ک ئێوه.

### ناوه‌ڕۆک

• Equations
• Inequalities
• Proportional Reasoning

### Description

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.

### Sample Learning Goals

• 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.
Version 1.0.13

### Teacher Tips

 Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

### Teacher-Submitted Activities

Middle School Math Sim Alignment Amanda McGarry MS دیکه‌ بیرکاری
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López HS
MS
دیکه‌ ژیناسی
کیمیا
بیرکاری
فیزیا
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López MS
K-5
HW
Discuss
Guided
تاقیگه‌
Demo
فیزیا
ئه‌ستێره‌ناسی
کیمیا
بیرکاری
Introducción a la igualdad Diana López HS
MS
HW
Guided
تاقیگه‌
بیرکاری
Sarrera berdinketara José Manuel López Irastorza HS
MS
Guided بیرکاری
Equality Explorer: Homework + Class Venn Diagram Becca Kreidler HS
MS
HW بیرکاری
Explorador de Igualdade Aline Camilo MS Remote بیرکاری
Explorador da igualdade: básico Ana Maria Silva Guedes e Francisco Regis Vieira Alves MS تاقیگه‌ بیرکاری
زوان Download or Run Tips
Albanian All shqip Hulumtues barazishë: Bazat
Arabic All العربية مستكشف المساواة: أساسيات
Basque All Euskara Berdintasun-esploratzailea: oinarrizkoak
Bosnian All Bosanski Istraživač jednačina: Osnove
Brazilian Portuguese All português (Brasil) Explorador da Igualdade: Básico
Chinese - Simplified All 中文 (中国) 等式探索:基础
Chinese - Traditional All 中文 (台灣) Equality Explorer: Basics_探索等式：基礎
Croatian All hrvatski Istraživanje jednadžbi: Osnove
Danish All Dansk Ligevægts-visning: Basis
Dutch All Nederlands Ontdek gelijkheid: eenvoudig
French All français Explorateur d'équations : les bases
German All Deutsch Gleichheit schaffen: Grundlagen
Greek All Ελληνικά Εξερευνητής εξισώσεων: τα βασικά
Gujarati All Gujarati સમીકરણ સમાનતા શોધક: બેઝિક્સ- Pankajsid34
Haitian All Haitian Eksploratè Egalite: Prensip Fondamantal
Hindi All हिंदी समानता का पता करें : मूल बातें
Hungarian All magyar Egyenlőségvizsgálat: alapok
Italian All italiano Esplora le uguaglianze: introduzione
Japanese All 日本語 つり合いを作ろう:ベーシック
Kazakh All Kazakh Теңдік: Негіздері
Korean All 한국어 등식 연습하기: 기초
Latvian All Latviešu Vienādību pētīšana: Pamati
Malay All Bahasa Melayu Asas Persamaan
Mongolian All Монгол (Монгол) Тэнцэтгэл Судлах: Үндсэн
Polish All polski Poznajemy równania - podstawy
Portuguese All português Explorador de Igualdades: Noções Básicas
Russian All русский Равенства: Основы
Serbian All Српски Истраживач једначина: Основе
Slovak All Slovenčina Skúmanie rovnosti: Základy
Spanish All español Explorador de Igualdades: Intro
Spanish (Mexico) All español (México) Explorador de Igualdades: Intro
Spanish (Peru) All español (Perú) Explorador de Igualdad: Fundamentos
Swedish All svenska Utforska likheter: Grunder
Turkish All Türkçe Eşitlik Gezgini: Temel Bilgiler
Ukrainian All українська Дослідник рівностей. Основи
Uzbek All Uzbek Tenglamalarni o‘rganish: Asosiy tushunchalar
Vietnamese All Tiếng Việt Đẳng thức: Phần cơ bản
فارسی All فارسی کاوشگر برابری: مقدمات

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Design Team Third-party Libraries سوپاس بۆ
• Amanda McGarry (lead designer)
• Chris Malley (developer)
• Diana López Tavares
• Ariel Paul
• Kathy Perkins
• Argenta Price
• Beth Stade
• 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