# Equality Explorer: Basics

See simulatsioon pole veel sellesse keelde tõlgitud. Ingliskeelne versioon on saadaval allpool.

 Lae alla Manusta sulge Manusta selle simulatsiooni töötav koopia Kasuta seda HTML koodi, et manustada selle simulatsiooni töötav koopia. Manustatud simulatsiooni kõrgust ja laiust saab muuta HTML koodi vastavate atribuutidega. Manusta pilt, mis vajutuse peale simulatsiooni avab
Vajuta, et mängida
Kasuta seda HTML koodi, et näidata ekraanipilti koos sõnadega ,,Vajuta, et mängida". Equations Inequalities Proportional Reasoning PhETi toetavad ja õpetajad nagu Teiegi.

### Sisu

• Equations
• Inequalities
• Proportional Reasoning

### 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.

### Näidis-õpieesmärgid

• 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

 Õpetajate juhend (pdf) sisaldab PhETi poolt loodud nõuandeid. ( PDF ).

### Teacher-Submitted Activities

Introducción a la igualdad Diana López KK
PK
Guided
KT
Pr
Matemaatika
Middle School Math Sim Alignment Amanda McGarry PK Muu Matemaatika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López KK
PK
Muu Keemia
Bioloogia
Matemaatika
Füüsika
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López PK
K-5
Discuss
Demo
Guided
Pr
KT
Matemaatika
Astronoomia
Keemia
Füüsika
Sarrera berdinketara José Manuel López Irastorza PK
KK
Guided Matemaatika
Equality Explorer: Homework + Class Venn Diagram Becca Kreidler KK
PK
KT Matemaatika
Explorador da igualdade: básico Ana Maria Silva Guedes e Francisco Regis Vieira Alves PK Pr Matemaatika
albaania All shqip Hulumtues barazishë: Bazat
araabia All العربية مستكشف المساواة: أساسيات
bosnia All Bosanski Istraživač jednačina: Osnove
Gujarati All Gujarati સમીકરણ સમાનતા શોધક: બેઝિક્સ- Pankajsid34
hiina (lihtsustatud) All 中文 (中国) 等式探索:基础
hiina (trad.) All 中文 (台灣) Equality Explorer: Basics_探索等式：基礎
Hindi All हिंदी समानता का पता करें : मूल बातें
hollandi All Nederlands Ontdek gelijkheid: eenvoudig
itaalia All italiano Esplora le uguaglianze: introduzione
jaapani All 日本語 つり合いを作ろう:ベーシック
kasahhi All Kazakh Теңдік: Негіздері
korea All 한국어 등식 연습하기: 기초
kreeka All Ελληνικά Εξερευνητής εξισώσεων: τα βασικά
läti All Latviešu Vienādību pētīšana: Pamati
mongoli All Монгол (Монгол) Тэнцэтгэл Судлах: Үндсэн
poola All polski Poznajemy równania - podstawy
prantsuse All français Explorateur d'équations : les bases
pärsia All فارسی کاوشگر برابری: مقدمات
rootsi All svenska Utforska likheter: Grunder
saksa All Deutsch Gleichheit schaffen: Grundlagen
serbia All Српски Истраживач једначина: Основе
slovaki All Slovenčina Skúmanie rovnosti: Základy
taani All Dansk Ligevægts-visning: Basis
türgi All Türkçe Eşitlik Gezgini: Temel Bilgiler
ukraina All українська Дослідник рівностей. Основи
ungari All magyar Egyenlőségvizsgálat: alapok
vene All русский Равенства: Основы
vietnami 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.

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:

• 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