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### Obsah

• 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!

• 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 1.0.13

### Teacher Tips

 Učitelská příručka (pdf) obsahuje tipy poskytnuté od členů týmu PhET. ( PDF ).

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein K-5
ZŠ II.st.
UG-začínající
Remote
Chemie
Matematika
Fyzika
Balancing Act Michael Reynolds ZŠ II.st. Guided Matematika
What is Equality David Wood
ZŠ II.st.

Guided
Discuss
Lab
Matematika
Introduction to Inequalities Marleene Buttice ZŠ II.st. Guided Matematika
Solving Multi-Step Equations Meenakshi Raghavan ZŠ II.st. Guided Matematika
Middle School Math Sim Alignment Amanda McGarry ZŠ II.st. Ostatní Matematika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López
ZŠ II.st.
Ostatní Fyzika
Biologie
Chemie
Matematika
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López UG-začínající
Ostatní Matematika
Chemie
Fyzika
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López ZŠ II.st.
K-5
Discuss

Demo
Lab
Guided
Astronomie
Fyzika
Chemie
Matematika
Introducción a la igualdad Diana López ZŠ II.st.

Guided
Lab
Matematika
Equality Explorer - 6th Grade intro to solving Trevor Gibson ZŠ II.st. Guided Matematika
Exploring Equations Akili Obika
ZŠ II.st.
Guided Matematika
Equação e balança Alison Sousa da Silva, Ana Carolina Costa Pereira ZŠ II.st. Guided
Lab
Matematika
Introducción a la igualdad en ecuaciones lineales Julio César Melchor Pinto Lab

Guided
Remote
Matematika
Albanian All shqip Hulumtues barazishë
Arabic All العربية مستكشف المساواة
Basque All Euskara Berdintasun-esploratzailea
Bosnian All Bosanski Istraživač jednačina
Danish All Dansk Ligevægts-visning
Dutch All Nederlands Ontdek gelijkheid
English All English Equality Explorer
French All français Explorateur d'égalité
German All Deutsch Gleichheit schaffen
Greek All Ελληνικά Εξερευνητής εξισώσεων
Gujarati All Gujarati સમીકરણ સમાનતા શોધક- Pankajsid34
Haitian All Haitian Eksploratè Egalite
Hindi All हिंदी समानता का पता करें
Hungarian All magyar Egyenlőségvizsgálat
Chinese (China) All 中文 (中国) 等式探索
Chinese (Taiwan) All 中文 (台灣) Equality Explorer_探索等式
Italian All italiano Esplora le equazioni
Japanese All 日本語 つり合いを作ろう
Kazakh All Kazakh Теңсіздіктер шешімі
Korean All 한국어 등식 연습하기
Latvian All Latviešu Vienādību pētīšana
Malay All Bahasa Melayu Equality Explorer
Mongolian All Монгол (Монгол) Тэнцэтгэл Судлах
Persian All فارسی کاوشگر برابری
Polish All polski Poznajemy równania
Russian All русский Решение неравенств
Serbian All Српски Истраживач једначина
Slovak All Slovenčina Skúmanie rovnosti
Swedish All svenska Utforska likheter!
Turkish All Türkçe Eşitlik Gezgini
Ukrainian All українська Дослідник рівностей
Uzbek All Uzbek Tenglamalarni o‘rganish
Vietnamese All Tiếng Việt Đẳng thức

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iOS 12+ Safari

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