Istraživač jednačina: Osnove

Istraživač jednačina: Osnove Screenshot  Preuzimanje (Download)  Ugradnja (Embed)
  • Equations
  • Inequalities
  • Proporcije


  • Equations
  • Inequalities
  • Proporcije


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

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.
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.
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.
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.
Solve linear equations in one variable.
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).
Analyze and solve pairs of simultaneous linear equations.
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.
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.
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.
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 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)
Ostalo Fizika
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Ovu Aktivnost dizаjnirаo je PhET. Diana López K-5 (OŠ)
Introducción a la igualdad Ovu Aktivnost dizаjnirаo je PhET. Diana López HS (VŠ)
Sarrera berdinketara José Manuel López Irastorza HS (VŠ)
Guided Matematika
Equality Explorer: Homework + Class Venn Diagram Becca Kreidler MS (SŠ)
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

Jezik Download or Run Tips
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iOS 12+ Safari
iPad compatible sims

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Latest version of Google Chrome
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Chromebook compatible sims

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

Linux Systems:
Not officially supported. Please contact 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