# کاوشگر برابری: دو متغیر

 دانلود Embed کردن ببند نسخه فعلی این شبیه سازی را embed کنید از این فایل HTML برای embed کردن نسخه فعلی این شبیه سازی استفاده کنید. ضمنا میتوانید طول و عرض را عوض کنید. تصویری را embed کنید که با کلیک کردن روی آن شبیه سازی اجرا شود.
برای اجرا کلیک کنید
از این کد برای اجرای تصویری که پیغام میدهد "برای اجرا اینجا را کلیک کنید" استفاده کنید. Equations Inequalities System of Equations PhET حمایت می شود توسط و مدرسانی چون شما.

### محتوا

• Equations
• Inequalities
• System of Equations

### Description

Explore what it means for a mathematical statement to be balanced or unbalanced by interacting with integers and variables on a balance. Find multiple ways to balance x and y to build a system of equations.

### نمونه ای از هدف های آموزشی

• 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
• Build a system of equations
• Determine the solution set of a system of equations

### 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

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 زیست شناسی
فیزیک
ریاضیات
شیمی
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López پیش دانشگاهی 1
دبیرستان
سایر شیمی
ریاضیات
فیزیک
آلبانیایی All shqip Hulumtues barazishë: Dy ndryshore
آلمانی All Deutsch Gleichheit schaffen: Zwei Variablen
اسلواکی All Slovenčina Skúmanie rovnosti: Dve premenné
انگلیسی All English Equality Explorer: Two Variables
اوکراینی All українська Дослідник рівностей. Дві змінні
ایتالیایی All italiano Esplora le equazioni a due variabili
باسک All Euskara Berdintasun-esploratzailea: bi aldagai
بوسنیایی All Bosanski Istraživač jednačina: Dvije promjenljive
ترکی All Türkçe Eşitlik Gezgini: İki Değişkenli
دانمارکی All Dansk Ligevægts-visning: To variabler
روسی All русский Равенства с двумя переменными
سوئدی All svenska Utforska likheter: Två variabler
صرب All Српски Истраживач једначина: Две променљиве
عربی All العربية مستكشف المساواة: متغيرين
فرانسوی All français Explorateur d'équation : Deux variables
قزاقستان All Kazakh Екі айнымалы теңдік
لتونی All Latviešu Vienādību pētīšana: Divi mainīgie
لهستانی All polski Poznajemy równania - dwie niewiadome
مجاری All magyar Egyenlőségvizsgálat: két változó
مغولی All Монгол (Монгол) Тэнцэтгэл Судлах: Хоёр Хувьсагч
هلندی All Nederlands Ontdek gelijkheid: twee veranderlijken
هندی All हिंदी समानता का पता करें : दो चरांको के
ویتنامی All Tiếng Việt Đẳng thức: 2 biến
چینی،ساده شده All 中文 (中国) 等式探索:两个变量
چینی، قدیمی All 中文 (台灣) Equality Explorer: Two Variables_探索等式：兩個變數
ژاپنی All 日本語 つり合いを作ろう: 2つの文字を用いて
کره ای All 한국어 등식 연습하기: 2변수
گواراتی All Gujarati સમીકરણ સમાનતા શોધક: બે ચલ- Pankajsid34
یونانی All Ελληνικά Εξερευνητής εξισώσεων: δυο μεταβλητές

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