# Skúmanie rovnosti: Dve premenné

 Stiahnuť Kód na vloženie zatvoriť Vložiť bežiacu kópiu tejto simulácie Použite tento HTML kód pre vloženie tejto simulácie na svoju web stránku. Môžete taktiež zmeniť výšku a šírku vloženej simulácie zmenením atribútov "width" a "height" v HTML kóde. Vložiť obrázok, ktorý po kliknutí spustí simuláciu.
Kliknite pre spustenie
Použite tento HTML kód pre zobrazenie obrazovky simulácie s nápisom "Kliknite pre spustenie" Equations Inequalities System of Equations PhET podporuje a pedagógovia ako ste Vy.

### Témy

• Equations
• Inequalities
• System of Equations

### Popis

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.

### Ukážkové ciele vzdelávania

• 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.
Verzia 1.0.12

### Typy pre učiteľov

 Prehľad ovládacích prvkov simulácie, modelové zjednodušenie a postrehy o študentskom uvažovaní. ( PDF ).

### Teacher-Submitted Activities

Middle School Math Sim Alignment Amanda McGarry ZŠ-II Iné Matematika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López
ZŠ-II
Iné Biológia
Matematika
Fyzika
Chémia
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López
VŠ-zač
Iné Chémia
Fyzika
Matematika
Albánčina All shqip Hulumtues barazishë: Dy ndryshore
Angličtina All English Equality Explorer: Two Variables
Arabčina All العربية مستكشف المساواة: متغيرين
Baskičtina All Euskara Berdintasun-esploratzailea: bi aldagai
Bosnian All Bosanski Istraživač jednačina: Dvije promjenljive
Čínština (Tradičná) All 中文 (台灣) Equality Explorer: Two Variables_探索等式：兩個變數
Čínština (Zjednodušená) All 中文 (中国) 等式探索:两个变量
Dánčina All Dansk Ligevægts-visning: To variabler
Francúzština All français Explorateur d'équation : Deux variables
Gréčtina All Ελληνικά Εξερευνητής εξισώσεων: δυο μεταβλητές
Gujarati All Gujarati સમીકરણ સમાનતા શોધક: બે ચલ- Pankajsid34
Hindi All हिंदी समानता का पता करें : दो चरांको के
Holandčina All Nederlands Ontdek gelijkheid: twee veranderlijken
Japončina All 日本語 つり合いを作ろう: 2つの文字を用いて
Kazakh All Kazakh Екі айнымалы теңдік
Kórejčina All 한국어 등식 연습하기: 2변수
Latvian All Latviešu Vienādību pētīšana: Divi mainīgie
Maďarčina All magyar Egyenlőségvizsgálat: két változó
Mongolian All Монгол (Монгол) Тэнцэтгэл Судлах: Хоёр Хувьсагч
Nemčina All Deutsch Gleichheit schaffen: Zwei Variablen
Perzština All فارسی کاوشگر برابری: دو متغیر
Poľština All polski Poznajemy równania - dwie niewiadome
Ruština All русский Равенства с двумя переменными
Srbčina All Српски Истраживач једначина: Две променљиве
Švédčina All svenska Utforska likheter: Två variabler
Taliančina All italiano Esplora le equazioni a due variabili
Turečtina All Türkçe Eşitlik Gezgini: İki Değişkenli
Ukrajinčina All українська Дослідник рівностей. Дві змінні
Vietnamčina All Tiếng Việt Đẳng thức: 2 biến

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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:

Autorský tím Iné knižnice Poďakovanie
• 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