等式探索:两个变量

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  • Equations
  • Inequalities
  • System of Equations

主题

  • Equations
  • Inequalities
  • System of Equations

描述

通过天平直观感受数学上的等式和不等式。通过不同的方法使x和y平衡来构建方程组。

示范 学习目标

  • 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

标准对齐

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.
版本 1.0.12

教师指南

下载教师指南 PDF 仿真程序控制概述,简化模型,学生视角的思考 ( PDF ).

教师提交的活动

SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) 这个贡献是由PhET设计的。 Diana López 初中
高中
其它 数学
化学
生物学
物理学
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) 这个贡献是由PhET设计的。 Diana López 高中
本科生
其它 物理学
化学
数学
Middle School Math Sim Alignment 这个贡献是由PhET设计的。 Amanda McGarry 初中 其它 数学

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德语 All Deutsch Download Run now Gleichheit schaffen: Zwei Variablen
俄语 All русский Download Run now Равенства с двумя переменными
法语 All français Download Run now Explorateur d'équation : Deux variables
繁体中文 All 中文 (台灣) Download Run now Equality Explorer: Two Variables_探索等式:兩個變數
古吉拉特语 All Gujarati Download Run now સમીકરણ સમાનતા શોધક: બે ચલ- Pankajsid34
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葡萄牙语 All português Download Run now Explorador de Igualdades. Duas Variáveis
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日语 All 日本語 Download Run now つり合いを作ろう: 2つの文字を用いて
瑞典语 All svenska Download Run now Utforska likheter: Två variabler
塞尔维亚语 All Српски Download Run now Истраживач једначина: Две променљиве
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HTML5 程序:

新的HTML5类型的程序可以在iPad,Chromebook以及PC端(包含mac和linux系统)上运行。

iPad:

iOS 8+ Safari

iPad2或之后的iPad产品支持HTML5类型的程序。如果您是iPad用户,请点击这里。


Android:
无官方支持。如果您需要在安卓平台运行HTML5程序,我们建议您使用最新版本的谷歌浏览器和安卓4.1+版本。

Chromebook:
您只需要最新版本的谷歌浏览器。HTML5和flah程序都可以在所有Chromebook上运行。如果您是Chromebook用户,请点击这里

Windows 系统:
微软浏览器,IE11浏览器,火狐浏览器和谷歌浏览器的最新版本都可以运行HTML5程序。

Macintosh 系统:
OS 10.9.5 或之后的系统版本,Safari 9+版本,或者火狐浏览器,谷歌浏览器的最新版本均支持我们的程序。

Linux 系统:
无官方支持。请联系phethelp@colorado.edu。


Java and Flash 程序:

Java 与 Flash程序可以在PC端,mac端,及linux系统上运行。具体的系统配置要求如下:

Windows 系统:
Windows 10, 8.1, 7
内存: 256 MB
浏览器: 微软Edge浏览器,IE 11浏览器,火狐浏览器,谷歌浏览器

Macintosh 系统:
Mac OS X 10.9.5+
使用管理员身份以便安装
64位浏览器(例如Safari,火狐,谷歌等)

Linux 系统:
Oracle Linux 5.5+1
Oracle Linux 6.x (32位), 6.x (64位)2
Oracle Linux 7.x (64位)2
Red Hat Enterprise Linux 5.5+1, 6.x (32位), 6.x (64位)2
Ubuntu Linux 12.04 LTS, 13.x
Suse Linux Enterprise Server 10 SP2+, 11.x
浏览器: 火狐,谷歌

开发团队 第三方支持 感谢
  • 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