Equality Explorer: Two Variables_探索等式:兩個變數

Equality Explorer: Two Variables_探索等式:兩個變數 螢幕截圖  下載  嵌入
  • Equations
  • Inequalities
  • System of Equations


  • Equations
  • Inequalities
  • System of Equations


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.


  • 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


共用核心 - 數學

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.
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.
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.
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.
Solve linear equations in one variable.
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).
Analyze and solve pairs of simultaneous linear equations.
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.
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.
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.
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
版本 1.0.11


下載教師教學提示 PDF 檔 模擬教學的控制概觀、模型簡化與引導學生思考 ( PDF ).


Middle School Math Sim Alignment 此貢獻是由 PhET 所作之設計 Amanda McGarry 國中 其它 數學

語言 下載或執行 提示
Serbian 全部 Српски Download Run now Истраживач једначина: Две променљиве
丹麥語 全部 Dansk Download Run now Ligevægts-visning: To variabler
巴斯克語 全部 Euskara Download Run now Berdintasun-esploratzailea: bi aldagai
日語 全部 日本語 Download Run now つり合いを作ろう: 2つの文字を用いて
北印度語 全部 हिंदी Download Run now समानता का पता करें : दो चरांको के 
匈牙利語 全部 magyar Download Run now Egyenlőségvizsgálat: két változó
西班牙語 全部 español Download Run now Explorador de Igualdades: Dos variables 下載教師教學提示 PDF 檔
西班牙語 (秘魯) 全部 español (Perú) Download Run now Explorador de Igualdad: Dos Variables
西班牙語 (墨西哥) 全部 español (México) Download Run now Explorador de Igualdades: Dos variables 下載教師教學提示 PDF 檔
希臘語 全部 Ελληνικά Download Run now Εξερευνητής εξισώσεων: δυο μεταβλητές
拉脫維亞語 全部 Latviešu Download Run now Vienādību pētīšana: Divi mainīgie
波士尼亞語 全部 Bosanski Download Run now Istraživač jednačina: Dvije promjenljive
波蘭語 全部 polski Download Run now Poznajemy równania - dwie niewiadome
法語 全部 français Download Run now Explorateur d'équation : Deux variables
阿拉伯語 全部 العربية Download Run now مستكشف المساواة: متغيرين
俄文 全部 русский Download Run now Равенства с двумя переменными
哈薩克語 全部 Kazakh Download Run now Екі айнымалы теңдік
英語 全部 English Download Run now Equality Explorer: Two Variables
荷蘭語 全部 Nederlands Download Run now Ontdek gelijkheid: twee veranderlijken
斯洛伐克語 全部 Slovenčina Download Run now Skúmanie rovnosti: Dve premenné
越南語 全部 Tiếng Việt Download Run now Đẳng thức: 2 biến
瑞典語 全部 svenska Download Run now Utforska likheter: Två variabler
義大利語 全部 italiano Download Run now Esplora le equazioni a due variabili
葡萄牙語 全部 português Download Run now Explorador de Igualdades. Duas Variáveis
葡萄牙語 (巴西) 全部 português (Brasil) Download Run now Explorador da Igualdade: Duas Variáveis
蒙古語 全部 Монгол (Монгол) Download Run now Тэнцэтгэл Судлах: Хоёр Хувьсагч
德語 全部 Deutsch Download Run now Gleichheit schaffen: Zwei Variablen
韓語 全部 한국어 Download Run now 등식 연습하기: 2변수
簡體中文 全部 中文 (中国) Download Run now 等式探索:两个变量

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

iOS 11+ Safari
iPad compatible sims

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

Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge and Internet Explorer 11, 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.

設計團隊 第三方諮詢 感謝
  • 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
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  • lodash-4.17.4.js
  • pegjs-0.7.0.js
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