Istraživač jednačina

Istraživač jednačina  Screenshot  Preuzimanje (Download)  Ugradnja (Embed)
  • Solving Equations
  • Inequalities
  • Inverse Operations

Sadržaj

  • 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!

Primjeri obrazovnih ciljeva

  • 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

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

Teacher-Submitted Activities

Games Remote Lesson ideas A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Ovu Aktivnost dizаjnirаo je PhET. Trish Loeblein MS (SŠ)
K-5 (OŠ)
HS (VŠ)
UG-Intro (VSŠ)
Remote
DZ
Fizika
Matematika
Hemija
Introducción a la igualdad A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Ovu Aktivnost dizаjnirаo je PhET. Diana López MS (SŠ)
HS (VŠ)
DZ
Lab
Guided
Matematika
Balancing Act A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Michael Reynolds MS (SŠ) Guided Matematika
What is Equality A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. David Wood MS (SŠ)
HS (VŠ)
Guided
Lab
Discuss
DZ
Matematika
Introduction to Inequalities A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Marleene Buttice MS (SŠ) Guided Matematika
Solving Multi-Step Equations A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Meenakshi Raghavan MS (SŠ) Guided Matematika
Middle School Math Sim Alignment Ovu Aktivnost dizаjnirаo je PhET. Amanda McGarry MS (SŠ) Ostalo Matematika
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Ovu Aktivnost dizаjnirаo je PhET. Diana López MS (SŠ)
HS (VŠ)
Ostalo Hemija
Biologija
Matematika
Fizika
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Ovu Aktivnost dizаjnirаo je PhET. Diana López HS (VŠ)
UG-Intro (VSŠ)
Ostalo Matematika
Fizika
Hemija
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Ovu Aktivnost dizаjnirаo je PhET. Diana López K-5 (OŠ)
MS (SŠ)
Demo
Discuss
DZ
Lab
Guided
Fizika
Hemija
Matematika
Astronomija
Equality Explorer - 6th Grade intro to solving Trevor Gibson MS (SŠ) Guided Matematika
Exploring Equations Akili Obika HS (VŠ)
MS (SŠ)
Guided Matematika
Equação e balança Alison Sousa da Silva, Ana Carolina Costa Pereira MS (SŠ) Lab
Guided
Matematika

Jezik Download or Run Tips
Albanski All shqip Download Run now Hulumtues barazishë
Arapski All العربية Download Run now مستكشف المساواة
Baskijski All Euskara Download Run now Berdintasun-esploratzailea
Brazilski Portugalski All português (Brasil) Download Run now Explorador da Igualdade
Češki All čeština Download Run now Průzkumník rovnosti
Danski All Dansk Download Run now Ligevægts-visning
Engleski All English Download Run now Equality Explorer
Francuski All français Download Run now Explorateur d'égalité
Grčki All Ελληνικά Download Run now Εξερευνητής εξισώσεων
Gujarati All Gujarati Download Run now સમીકરણ સમાનતા શોધક- Pankajsid34
Hindu All हिंदी Download Run now समानता का पता करें 
Holandski All Nederlands Download Run now Ontdek gelijkheid
Hrvatski All hrvatski Download Run now Istraživanje jednadžbi
Italijanski All italiano Download Run now Esplora le equazioni
Japanski All 日本語 Download Run now つり合いを作ろう
Kazaški All Kazakh Download Run now Теңсіздіктер шешімі
Kineski - Tradicionalni All 中文 (台灣) Download Run now Equality Explorer_探索等式
Kineski - Uprošćen All 中文 (中国) Download Run now 等式探索
Korejski All 한국어 Download Run now 등식 연습하기
Letonski All Latviešu Download Run now Vienādību pētīšana
Mađarski All magyar Download Run now Egyenlőségvizsgálat
Mongolski All Монгол (Монгол) Download Run now Тэнцэтгэл Судлах
Njemački All Deutsch Download Run now Gleichheit schaffen
Persijski All فارسی Download Run now کاوشگر برابری
Poljski All polski Download Run now Poznajemy równania
Portugalski All português Download Run now Explorador de Igualdades
Ruski All русский Download Run now Решение неравенств
Slovački All Slovenčina Download Run now Skúmanie rovnosti
Španski All español Download Run now Explorador de Igualdades
Španski (Meksiko) All español (México) Download Run now Explorador de Igualdades
Španski (Peru) All español (Perú) Download Run now Explorador de Igualdad
Srpski All Српски Download Run now Истраживач једначина
Švedski All svenska Download Run now Utforska likheter!
Turski All Türkçe Download Run now Eşitlik Gezgini
Ukrajinski All українська Download Run now Дослідник рівностей
Vijetnamski All Tiếng Việt Download Run now Phương trình

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 10.12+, Safari 12+, latest version of Chrome.

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

Dizajn tim Nezavisne baze i biblioteke Hvala:
  • 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