# کاوشگر برابری

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از این کد برای اجرای تصویری که پیغام میدهد "برای اجرا اینجا را کلیک کنید" استفاده کنید. Solving Equations Inequalities Inverse Operations PhET حمایت می شود توسط و مدرسانی چون شما.

### محتوا

• Solving Equations
• Inequalities
• Inverse Operations

### Description

Explore what it means for a mathematical statement to be balanced or unbalanced by interacting with objects on a balance. Discover the rules for keeping it balanced. Collect stars by playing the game!

### نمونه ای از هدف های آموزشی

• Solve and manipulate algebraic equations by applying properties of real numbers (in particular, the inverse properties of addition and multiplication) and properties of equality
• Solve and manipulate algebraic equations by substituting different values for a variable
• Use a balance model to solve an equation for an unknown, and justify your strategies for solving
• Solve an equation using only universal operations

### 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 1.0.12

### Teacher Tips

 راهنمای معلم مجموعه توصیه های تولید شده توسط گروه PHET به صورت pdf. ( PDF ).

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein دبستان
پیش دانشگاهی 1
راهنمایی
دبیرستان
Remote
کار در خانه
فیزیک
ریاضیات
شیمی
Balancing Act Michael Reynolds راهنمایی Guided ریاضیات
What is Equality David Wood راهنمایی
دبیرستان
آزمایشگاه
Discuss
Guided
کار در خانه
ریاضیات
Introduction to Inequalities Marleene Buttice راهنمایی Guided ریاضیات
Solving Multi-Step Equations Meenakshi Raghavan راهنمایی Guided ریاضیات
Middle School Math Sim Alignment Amanda McGarry راهنمایی سایر ریاضیات
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López دبیرستان
راهنمایی
سایر شیمی
ریاضیات
فیزیک
زیست شناسی
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López پیش دانشگاهی 1
دبیرستان
سایر ریاضیات
فیزیک
شیمی
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López دبستان
راهنمایی
Discuss
آزمایشگاه
کار در خانه
نمایش
Guided
ریاضیات
شیمی
نجوم
فیزیک
Introducción a la igualdad Diana López راهنمایی
دبیرستان
Guided
آزمایشگاه
کار در خانه
ریاضیات
Projectile motion experiment jawaher bin hammad پیش دانشگاهی 1 آزمایشگاه فیزیک
Equality Explorer - 6th Grade intro to solving Trevor Gibson راهنمایی Guided ریاضیات
Exploring Equations Akili Obika دبیرستان
راهنمایی
Guided ریاضیات
Equação e balança Alison Sousa da Silva, Ana Carolina Costa Pereira راهنمایی Guided
آزمایشگاه
ریاضیات
آلبانیایی All shqip Hulumtues barazishë
آلمانی All Deutsch Gleichheit schaffen
اسلواکی All Slovenčina Skúmanie rovnosti
انگلیسی All English Equality Explorer
اوکراینی All українська Дослідник рівностей
ایتالیایی All italiano Esplora le equazioni
باسک All Euskara Berdintasun-esploratzailea
بوسنیایی All Bosanski Istraživač jednačina
ترکی All Türkçe Eşitlik Gezgini
دانمارکی All Dansk Ligevægts-visning
روسی All русский Решение неравенств
سوئدی All svenska Utforska likheter!
صرب All Српски Истраживач једначина
عربی All العربية مستكشف المساواة
فرانسوی All français Explorateur d'égalité
قزاقستان All Kazakh Теңсіздіктер шешімі
لتونی All Latviešu Vienādību pētīšana
لهستانی All polski Poznajemy równania
مجاری All magyar Egyenlőségvizsgálat
مغولی All Монгол (Монгол) Тэнцэтгэл Судлах
هلندی All Nederlands Ontdek gelijkheid
هندی All हिंदी समानता का पता करें
ویتنامی All Tiếng Việt Đẳng thức
چک All čeština Průzkumník rovnosti
چینی،ساده شده All 中文 (中国) 等式探索
چینی، قدیمی All 中文 (台灣) Equality Explorer_探索等式
ژاپنی All 日本語 つり合いを作ろう
کره ای All 한국어 등식 연습하기
گواراتی All Gujarati સમીકરણ સમાનતા શોધક- Pankajsid34
یونانی All Ελληνικά Εξερευνητής εξισώσεων

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

iOS 12+ Safari

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:

Macintosh Systems:

Linux Systems:

گروه طراحی Third-party Libraries با تشکر از
• 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