# Istraživač jednačina: Osnove

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Klikni i započni
Koristi ovaj HTML kod da bi se pojavio ekran sa natpisom "Klikni i započni" ("Click to Run"). Equations Inequalities Proporcije PhET je podržаn od: i nаstаvnikа kаo što ste Vi!

• Equations
• Inequalities
• Proporcije

### 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.

### Primjeri obrazovnih ciljeva

• 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 1.0.13

### Teacher Tips

 Vodič za nastavnike (pdf) sadrži savjete kreirane оd strane PhET tima. ( PDF ).

### Teacher-Submitted Activities

Middle School Math Sim Alignment Amanda McGarry MS (SŠ) Ostalo Matematika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López MS (SŠ)
HS (VŠ)
Ostalo Fizika
Matematika
Biologija
Hemija
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López K-5 (OŠ)
MS (SŠ)
Guided
DZ
Demo
Lab
Discuss
Fizika
Astronomija
Matematika
Hemija
Introducción a la igualdad Diana López HS (VŠ)
MS (SŠ)
Lab
DZ
Guided
Matematika
Sarrera berdinketara José Manuel López Irastorza HS (VŠ)
MS (SŠ)
Guided Matematika
Equality Explorer: Homework + Class Venn Diagram Becca Kreidler MS (SŠ)
HS (VŠ)
DZ Matematika
Explorador de Igualdade Aline Camilo MS (SŠ) Remote Matematika
Explorador da igualdade: básico Ana Maria Silva Guedes e Francisco Regis Vieira Alves MS (SŠ) Lab Matematika
Albanski All shqip Hulumtues barazishë: Bazat
Arapski All العربية مستكشف المساواة: أساسيات
Baskijski All Euskara Berdintasun-esploratzailea: oinarrizkoak
Brazilski Portugalski All português (Brasil) Explorador da Igualdade: Básico
Danski All Dansk Ligevægts-visning: Basis
Engleski All English Equality Explorer: Basics
Francuski All français Explorateur d'équations : les bases
Grčki All Ελληνικά Εξερευνητής εξισώσεων: τα βασικά
Gujarati All Gujarati સમીકરણ સમાનતા શોધક: બેઝિક્સ- Pankajsid34
Haićanski All Haitian Eksploratè Egalite: Prensip Fondamantal
Hindu All हिंदी समानता का पता करें : मूल बातें
Holandski All Nederlands Ontdek gelijkheid: eenvoudig
Hrvatski All hrvatski Istraživanje jednadžbi: Osnove
Italijanski All italiano Esplora le uguaglianze: introduzione
Japanski All 日本語 つり合いを作ろう:ベーシック
Kazaški All Kazakh Теңдік: Негіздері
Kineski - Tradicionalni All 中文 (台灣) Equality Explorer: Basics_探索等式：基礎
Kineski - Uprošćen All 中文 (中国) 等式探索:基础
Korejski All 한국어 등식 연습하기: 기초
Letonski All Latviešu Vienādību pētīšana: Pamati
Malajski All Bahasa Melayu Asas Persamaan
Mađarski All magyar Egyenlőségvizsgálat: alapok
Mongolski All Монгол (Монгол) Тэнцэтгэл Судлах: Үндсэн
Njemački All Deutsch Gleichheit schaffen: Grundlagen
Persijski All فارسی کاوشگر برابری: مقدمات
Poljski All polski Poznajemy równania - podstawy
Portugalski All português Explorador de Igualdades: Noções Básicas
Ruski All русский Равенства: Основы
Slovački All Slovenčina Skúmanie rovnosti: Základy
Španski All español Explorador de Igualdades: Intro
Španski (Meksiko) All español (México) Explorador de Igualdades: Intro
Španski (Peru) All español (Perú) Explorador de Igualdad: Fundamentos
Srpski All Српски Истраживач једначина: Основе
Švedski All svenska Utforska likheter: Grunder
Turski All Türkçe Eşitlik Gezgini: Temel Bilgiler
Ukrajinski All українська Дослідник рівностей. Основи
Uzbečki All Uzbek Tenglamalarni o‘rganish: Asosiy tushunchalar
Vijetnamski All Tiếng Việt Đẳng thức: Phần cơ bản

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Dizajn tim Nezavisne baze i biblioteke Hvala:
• 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