Equality Explorer

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Equality Explorer Captura de Pantalla  Baixar  Insertar
  • Solving Equations
  • Inequalities
  • Inverse Operations

Contidos

  • 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!

Obxectivos de Aprendizaxe

  • 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

A guía de profesores (pdf) contén consellos creados polo equipo PhET. ( PDF ).

Teacher-Submitted Activities

Games Remote Lesson ideas A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Esta contribución foi deseñada por PhET. Trish Loeblein BAC
11
S.O.
U-Inicio
Deb
Remote
Física
Química
Matemáticas
Introducción a la igualdad A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Esta contribución foi deseñada por PhET. Diana López S.O.
BAC
Lab
Guided
Deb
Matemáticas
Balancing Act A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Michael Reynolds S.O. Guided Matemáticas
What is Equality A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. David Wood S.O.
BAC
Lab
Discuss
Deb
Guided
Matemáticas
Introduction to Inequalities A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Marleene Buttice S.O. Guided Matemáticas
Solving Multi-Step Equations A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Meenakshi Raghavan S.O. Guided Matemáticas
Middle School Math Sim Alignment Esta contribución foi deseñada por PhET. Amanda McGarry S.O. Outro Matemáticas
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Esta contribución foi deseñada por PhET. Diana López S.O.
BAC
Outro Matemáticas
Química
Bioloxía
Física
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Esta contribución foi deseñada por PhET. Diana López U-Inicio
BAC
Outro Química
Física
Matemáticas
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Esta contribución foi deseñada por PhET. Diana López 11
S.O.
Deb
Discuss
Lab
Guided
Demo
Astronomía
Física
Química
Matemáticas
Equality Explorer - 6th Grade intro to solving Trevor Gibson S.O. Guided Matemáticas
Exploring Equations Akili Obika BAC
S.O.
Guided Matemáticas
Equação e balança Alison Sousa da Silva, Ana Carolina Costa Pereira S.O. Lab
Guided
Matemáticas

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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.

Equipo de Deseño Biliotecas externas Agradecementos
  • 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)
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