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Kliknite pre spustenie
Použite tento HTML kód pre zobrazenie obrazovky simulácie s nápisom "Kliknite pre spustenie" Equations Inequalities Chápanie pomerov PhET podporuje a pedagógovia ako ste Vy.

Témy

• Equations
• Inequalities
• Chápanie pomerov

Popis

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.

Ukážkové ciele vzdelávania

• 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.
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 Fyzika
Biológia
Matematika
Chémia
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López ZŠ-II
K-5

Demo
Guided
Disk
Lab
Matematika
Astronómia
Fyzika
Chémia
Introducción a la igualdad Diana López
ZŠ-II
Lab

Guided
Matematika
Sarrera berdinketara José Manuel López Irastorza ZŠ-II
Guided Matematika
Equality Explorer: Homework + Class Venn Diagram Becca Kreidler
ZŠ-II
Matematika
Explorador da igualdade: básico Ana Maria Silva Guedes e Francisco Regis Vieira Alves ZŠ-II Lab Matematika
Jazyk Download or Run Tips
Albánčina All shqip Hulumtues barazishë: Bazat
Angličtina All English Equality Explorer: Basics
Arabčina All العربية مستكشف المساواة: أساسيات
Baskičtina All Euskara Berdintasun-esploratzailea: oinarrizkoak
Bosnian All Bosanski Istraživač jednačina: Osnove
Čínština (Tradičná) All 中文 (台灣) Equality Explorer: Basics_探索等式：基礎
Čínština (Zjednodušená) All 中文 (中国) 等式探索:基础
Dánčina All Dansk Ligevægts-visning: Basis
Francúzština All français Explorateur d'équations : les bases
Gréčtina All Ελληνικά Εξερευνητής εξισώσεων: τα βασικά
Gujarati All Gujarati સમીકરણ સમાનતા શોધક: બેઝિક્સ- Pankajsid34
Hindi All हिंदी समानता का पता करें : मूल बातें
Holandčina All Nederlands Ontdek gelijkheid: eenvoudig
Chorvátčina All hrvatski Istraživanje jednadžbi: Osnove
Japončina All 日本語 つり合いを作ろう:ベーシック
Kazakh All Kazakh Теңдік: Негіздері
Kórejčina All 한국어 등식 연습하기: 기초
Latvian All Latviešu Vienādību pētīšana: Pamati
Maďarčina All magyar Egyenlőségvizsgálat: alapok
Mongolian All Монгол (Монгол) Тэнцэтгэл Судлах: Үндсэн
Nemčina All Deutsch Gleichheit schaffen: Grundlagen
Perzština All فارسی کاوشگر برابری: مقدمات
Poľština All polski Poznajemy równania - podstawy
Portugalčina All português Explorador de Igualdades: Noções Básicas
Portugalčina (Brazília) All português (Brasil) Explorador da Igualdade: Básico
Ruština All русский Равенства: Основы
Srbčina All Српски Истраживач једначина: Основе
Španielčina All español Explorador de Igualdades: Intro
Španielčina (Mexico) All español (México) Explorador de Igualdades: Intro
Španielčina (Peru) All español (Perú) Explorador de Igualdad: Fundamentos
Švédčina All svenska Utforska likheter: Grunder
Taliančina All italiano Esplora le uguaglianze: introduzione
Turečtina All Türkçe Eşitlik Gezgini: Temel Bilgiler
Ukrajinčina All українська Дослідник рівностей. Основи
Vietnamčina All Tiếng Việt Đẳng thức: những điều cơ bản

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

iPad:
iOS 12+ Safari
iPad compatible sims

Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
Latest version of Google Chrome
The HTML5 and Flash PhET sims are supported on all Chromebooks.
Chromebook compatible sims

Windows Systems:
Microsoft Edge, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.13+, Safari 13+, latest version of Chrome.

Linux Systems:
Not officially supported. Please contact phethelp@colorado.edu with troubleshooting issues.

Autorský tím Iné knižnice Poďakovanie
• Amanda McGarry (lead designer)
• Chris Malley (developer)
• Diana López Tavares
• Ariel Paul
• Kathy Perkins
• Argenta Price
• Beth Stade
• 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