Equality Explorer

මෙම අනුහුරුකරණ සිංහල භාෂාවට පරිවර්තනය කර නැත. එසේ වුවද ඔබට ඉංග්‍රීසි අනුවාදයට පහතින් ප්‍රවේශ විය හැකිය

Equality Explorer තිර රූපයක්  බාගත කරන්න  ඔබ්බනවා
  • Solving Equations
  • Inequalities
  • Inverse Operations

අන්තර්ගතය

  • Solving Equations
  • Inequalities
  • Inverse Operations

විස්තර

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!

ආදර්ශ ඉගෙනුම් ඉලක්ක

  • 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.
අනුවාදය 1.0.10

ගුරුවරුන්ට ඉඟි

ගුරුවරුන් සඳහා ඉඟි  PDF ආකෘතියෙන් බාගත කර ගන්න ගුරු මාර්ගෝපදේශ සංග්‍රහයෙහි (pdf) PhET කණ්ඩායම විසින් නිර්මාණය කරන ලද ඉඟි අඩංගු වේ. ( පීඩීඑෆ් ).

ගුරුවරුන් ඉදිරිපත් කල ක්‍රියාකාරකම්

Balancing Act රන් තරුවක් මගින් පෙන්නා දෙන්නේ ඉහළ ගුණාත්මක බවින් යුක්ත වූ    PhET නිර්මාණ මාර්ගෝපදේශ අනුගමනය කළ , විමසීම් මත පදනම්වූ  ක්‍රියාකාරකම් බවයි. Michael Reynolds MS Guided Mathematics
What is Equality රන් තරුවක් මගින් පෙන්නා දෙන්නේ ඉහළ ගුණාත්මක බවින් යුක්ත වූ    PhET නිර්මාණ මාර්ගෝපදේශ අනුගමනය කළ , විමසීම් මත පදනම්වූ  ක්‍රියාකාරකම් බවයි. David Wood HS
MS
Lab
Discuss
HW
Guided
Mathematics
Introduction to Inequalities රන් තරුවක් මගින් පෙන්නා දෙන්නේ ඉහළ ගුණාත්මක බවින් යුක්ත වූ    PhET නිර්මාණ මාර්ගෝපදේශ අනුගමනය කළ , විමසීම් මත පදනම්වූ  ක්‍රියාකාරකම් බවයි. Marleene Buttice MS Guided Mathematics
Solving Multi-Step Equations රන් තරුවක් මගින් පෙන්නා දෙන්නේ ඉහළ ගුණාත්මක බවින් යුක්ත වූ    PhET නිර්මාණ මාර්ගෝපදේශ අනුගමනය කළ , විමසීම් මත පදනම්වූ  ක්‍රියාකාරකම් බවයි. Meenakshi Raghavan MS Guided Mathematics
Middle School Math Sim Alignment මෙම දායකත්වය PhET විසින් නිර්මාණය කරන ලදී. Amanda McGarry MS Other Mathematics
Equality Explorer - 6th Grade intro to solving Trevor Gibson MS Guided Mathematics
Exploring Equations Akili Obika HS
MS
Guided Mathematics

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The new HTML5 sims can run on iPads and Chromebooks, as well as PC, Mac, and Linux systems.

iPad:
iOS 11+ 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 and Internet Explorer 11, latest version of Firefox, latest version of Google Chrome.

Macintosh Systems:
macOS 10.9.5+, Safari 9+, latest version of Chrome.

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

නිර්මාණ කණ්ඩායම තෙවන පාර්ශවීය පුස්තකාල අපගේ ස්තුතිය
  • 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