Истраживач једначина: Основе

Истраживач једначина: Основе скриншот (снимак екрана)  Преузимање (Download)  Уградња (Embed)
  • Equations
  • Inequalities
  • Пропорције

Теме

  • Equations
  • Inequalities
  • Пропорције

Опис

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.

Примери образовних циљева

  • 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

Усклађивање стандарда

Заједничко језгро - математика

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.
Верзија 1.0.12

Савети за наставнике

Преузмите савете за наставнике PDF Преглед контроле симулација, поједностављења модела и увид у размишљање студената ( PDF ).

Активности наставника

Introducción a la igualdad A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Ову Активност дизајнирао је ПхЕТ. Diana López MS (СШ)
HS (ВШ)
Guided
Лаб
ДЗ
Математика
Middle School Math Sim Alignment Ову Активност дизајнирао је ПхЕТ. Amanda McGarry MS (СШ) Остало Математика
SECUNDARIA: Alineación PhET con programas de la SEP México (2011 y 2017) Ову Активност дизајнирао је ПхЕТ. Diana López MS (СШ)
HS (ВШ)
Остало Биологија
Физика
Математика
Хемија
PRIMARIA: Alineación con programas de la SEP México (2011 y 2017) Ову Активност дизајнирао је ПхЕТ. Diana López MS (СШ)
K-5 (ОШ)
Лаб
Discuss
Демо
Guided
ДЗ
Астрономија
Физика
Математика
Хемија
Sarrera berdinketara José Manuel López Irastorza MS (СШ)
HS (ВШ)
Guided Математика
Equality Explorer: Homework + Class Venn Diagram Becca Kreidler HS (ВШ)
MS (СШ)
ДЗ Математика
Explorador da igualdade: básico Ana Maria Silva Guedes e Francisco Regis Vieira Alves MS (СШ) Лаб Математика

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iPad:
iOS 12+ Safari
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Android:
Not officially supported. If you are using the HTML5 sims on Android, we recommend using the latest version of Google Chrome.

Chromebook:
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Windows Systems:
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Macintosh Systems:
macOS 10.12+, Safari 12+, latest version of Chrome.

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

Дизајн тим Независне базе и библиотеке (Third-party Libraries) Хвала :
  • 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