# Equality Explorer: Basics

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Klikk for å starte
Bruk denne HTML-koda for å vise eit skjermbilete med orda "Klikk for å starte". Equations Inequalities Proporsjonalt resonnement PhET er støtta av og pedagogar som deg.

### Innhald

• Equations
• Inequalities
• Proporsjonalt resonnement

### Description

Explore what it means for a mathematical statement to be balanced or unbalanced by interacting with objects on a balance. Find all the ways to balance cats and dogs or apples and oranges.

### Døme på læringsmål

• Use a balance model to solve an equation for an unknown, and justify your strategies for solving
• Use proportional reasoning to determine the value of a single object

### 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

 Lærarguiden (pdf) inneheld tips som er laga av PhET-teamet. ( PDF ).

### Teacher-Submitted Activities

Middle School Math Sim Alignment Amanda McGarry Ungdomsskule Anna Matematikk
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López vgs
Ungdomsskule
Anna Matematikk
Fysikk
Kjemi
Biologi
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López Barneskule
Ungdomsskule
Lekse
Demo
Lab
Guided
Discuss
Matematikk
Fysikk
Kjemi
Astronomi
Introducción a la igualdad Diana López Ungdomsskule
vgs
Lekse
Lab
Guided
Matematikk
Sarrera berdinketara José Manuel López Irastorza Ungdomsskule
vgs
Guided Matematikk
Equality Explorer: Homework + Class Venn Diagram Becca Kreidler vgs
Ungdomsskule
Lekse Matematikk
Explorador da igualdade: básico Ana Maria Silva Guedes e Francisco Regis Vieira Alves Ungdomsskule Lab Matematikk
Albanian All shqip Hulumtues barazishë: Bazat
Arabic All العربية مستكشف المساواة: أساسيات
Basque All Euskara Berdintasun-esploratzailea: oinarrizkoak
Bosnian All Bosanski Istraživač jednačina: Osnove
Chinese (China) All 中文 (中国) 等式探索:基础
Chinese (Taiwan) All 中文 (台灣) Equality Explorer: Basics_探索等式：基礎
Croatian All hrvatski Istraživanje jednadžbi: Osnove
Danish All Dansk Ligevægts-visning: Basis
Dutch All Nederlands Ontdek gelijkheid: eenvoudig
French All français Explorateur d'équations : les bases
German All Deutsch Gleichheit schaffen: Grundlagen
Greek All Ελληνικά Εξερευνητής εξισώσεων: τα βασικά
Gujarati All Gujarati સમીકરણ સમાનતા શોધક: બેઝિક્સ- Pankajsid34
Hindi All हिंदी समानता का पता करें : मूल बातें
Hungarian All magyar Egyenlőségvizsgálat: alapok
Italian All italiano Esplora le uguaglianze: introduzione
Japanese All 日本語 つり合いを作ろう:ベーシック
Kazakh All Kazakh Теңдік: Негіздері
Korean All 한국어 등식 연습하기: 기초
Latvian All Latviešu Vienādību pētīšana: Pamati
Mongolian All Монгол (Монгол) Тэнцэтгэл Судлах: Үндсэн
Persian All فارسی کاوشگر برابری: مقدمات
Polish All polski Poznajemy równania - podstawy
Portuguese All português Explorador de Igualdades: Noções Básicas
Portuguese (Brazil) All português (Brasil) Explorador da Igualdade: Básico
Russian All русский Равенства: Основы
Serbian All Српски Истраживач једначина: Основе
Slovak All Slovenčina Skúmanie rovnosti: Základy
Spanish All español Explorador de Igualdades: Intro
Spanish (Mexico) All español (México) Explorador de Igualdades: Intro
Spanish (Peru) All español (Perú) Explorador de Igualdad: Fundamentos
Swedish All svenska Utforska likheter: Grunder
Turkish All Türkçe Eşitlik Gezgini: Temel Bilgiler
Ukrainian All українська Дослідник рівностей. Основи
Vietnamese All Tiếng Việt Đẳng thức: những điều cơ bản

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Designteam Tredjepartsbibliotek Takk til
• Amanda McGarry (lead designer)
• 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