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İçerik

• 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!

Örnek Öğrenim Hedefleri

• 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 1.0.12

Teacher Tips

 Öğretmen el kitabı (pdf) Phet ekibi tarafından oluşturulan ipuçları içerir. ( PDF ).

Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein Ortaokul
Lisans-Giriş
Lİse
K-5
Ödev
Remote
Matematik
Kimya
Fizik
Balancing Act Michael Reynolds Ortaokul Guided Matematik
What is Equality David Wood Lİse
Ortaokul
Discuss
Laboratuvar
Ödev
Guided
Matematik
Introduction to Inequalities Marleene Buttice Ortaokul Guided Matematik
Solving Multi-Step Equations Meenakshi Raghavan Ortaokul Guided Matematik
Middle School Math Sim Alignment Amanda McGarry Ortaokul Diğer Matematik
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López Ortaokul
Lİse
Diğer Matematik
Biyoloji
Kimya
Fizik
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López Lİse
Lisans-Giriş
Diğer Fizik
Kimya
Matematik
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López K-5
Ortaokul
Gösteri
Ödev
Guided
Discuss
Laboratuvar
Fizik
Astronomi
Matematik
Kimya
Introducción a la igualdad Diana López Ortaokul
Lİse
Ödev
Guided
Laboratuvar
Matematik
Projectile motion experiment jawaher bin hammad Lisans-Giriş Laboratuvar Fizik
Equality Explorer - 6th Grade intro to solving Trevor Gibson Ortaokul Guided Matematik
Exploring Equations Akili Obika Ortaokul
Lİse
Guided Matematik
Equação e balança Alison Sousa da Silva, Ana Carolina Costa Pereira Ortaokul Guided
Laboratuvar
Matematik
Almanca All Deutsch Gleichheit schaffen
Arapça All العربية مستكشف المساواة
Arnavutça All shqip Hulumtues barazishë
Boşnakça All Bosanski Istraživač jednačina
Çekçe All čeština Průzkumník rovnosti
Çince (Geleneksel) All 中文 (台灣) Equality Explorer_探索等式
Çince (Sadeleştirilmiş) All 中文 (中国) 等式探索
Danca All Dansk Ligevægts-visning
Farsça All فارسی کاوشگر برابری
Flemenkçe All Nederlands Ontdek gelijkheid
Fransızca All français Explorateur d'égalité
Gujarati All Gujarati સમીકરણ સમાનતા શોધક- Pankajsid34
Hintçe All हिंदी समानता का पता करें
İngilizce All English Equality Explorer
İsveçce All svenska Utforska likheter!
İtalyanca All italiano Esplora le equazioni
Japonca All 日本語 つり合いを作ろう
Kazakça All Kazakh Теңсіздіктер шешімі
Korece All 한국어 등식 연습하기
Lehçe All polski Poznajemy równania
Letonca All Latviešu Vienādību pētīšana
Macarca All magyar Egyenlőségvizsgálat
Moğolca All Монгол (Монгол) Тэнцэтгэл Судлах
Rusça All русский Решение неравенств
Sırpça All Српски Истраживач једначина
Slovakça All Slovenčina Skúmanie rovnosti
Ukraynaca All українська Дослідник рівностей
Vietnamca All Tiếng Việt Đẳng thức
Yunanca All Ελληνικά Εξερευνητής εξισώσεων

HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

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:

Tasarım Ekibi Harici Kütüphaneler Sayesinde
• 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