# Equality Explorer

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Click to Run
Gunakan kode HTML ini untuk menayangkan Tampilan_Layar dengan kalimat "Clik To Run". Solving Equations Inequalities Inverse Operations PhET didukung oleh dan para pendidik seperti Anda semua.

### Isi

• 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!

### Contoh Tujuan Pengajaran

• 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

 Panduan Bagi Guru (pdf) memuat petunjuk / tip yang dibuat oleh Tim PhET. ( PDF ).

### Teacher-Submitted Activities

Games Remote Lesson ideas Trish Loeblein K-5
MS
UG-Intro
HS
Remote
HW
Mathematics
Chemistry
Physics
Balancing Act Michael Reynolds MS Guided Mathematics
What is Equality David Wood MS
HS
HW
Discuss
Guided
Lab
Mathematics
Introduction to Inequalities Marleene Buttice MS Guided Mathematics
Solving Multi-Step Equations Meenakshi Raghavan MS Guided Mathematics
Middle School Math Sim Alignment Amanda McGarry MS Other Mathematics
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Diana López HS
MS
Other Physics
Chemistry
Mathematics
Biology
PREPARATORIA: Alineación de PhET con programas de la DGB México (2017) Diana López HS
UG-Intro
Other Mathematics
Chemistry
Physics
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Diana López MS
K-5
Discuss
Guided
Lab
HW
Demo
Astronomy
Physics
Mathematics
Chemistry
Introducción a la igualdad Diana López MS
HS
Lab
Guided
HW
Mathematics
Equality Explorer - 6th Grade intro to solving Trevor Gibson MS Guided Mathematics
Exploring Equations Akili Obika HS
MS
Guided Mathematics
Equação e balança Alison Sousa da Silva, Ana Carolina Costa Pereira MS Lab
Guided
Mathematics
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Tim Perancang Librari Pihak Ketiga Terimakasih Kepada
• 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