Function Builder

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Function Builder وێنه‌ی شاشه‌  دابه‌زێن  Embed
  • Functions
  • Ordered Pairs
  • Transformations

ناوه‌ڕۆک

  • Functions
  • Ordered Pairs
  • Transformations
  • Linear Equation

Description

Play with functions while you ponder Art History. Explore geometric transformations and transform your thinking about linear functions, then have fun figuring out the mystery functions!

Sample Learning Goals

  • Define a function as a rule relating each input to exactly one output and predictably acting on inputs
  • Predict outputs of a function using given inputs
  • Compose functions to create a new function
  • Interpret, compare, and translate between multiple representations of an algebraic function

Standards Alignment

Common Core - Math

8.F.A.1
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.1
8.F.A.2
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
HSF-BF.A.1
Write a function that describes a relationship between two quantities.*
HSF-BF.A.1a
Determine an explicit expression, a recursive process, or steps for calculation from a context.
HSF-BF.A.1b
Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.
HSF-BF.A.1c
(+) Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
HSF-BF.B.4
Find inverse functions.
Version 1.0.22

Teacher Tips

Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

Video Primer

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Teacher-Submitted Activities

Defining Functions A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry MS Guided بیرکاری
Preguntas de razonamiento para todas las simulaciones HTML5 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Diana López HS
Grad
K-5
MS
UG-Intro
UG-Adv
HW
Discuss
بیرکاری
کیمیا
فیزیا
ئه‌ستێره‌ناسی
Describing Functions A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Leigh Anne Emberg MS
HS
Guided بیرکاری
Comparing Functions: Function Sleuthing to Find Rules A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Cary Hoste HS
MS
Guided بیرکاری
Funky Functions A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Mary Burr MS Guided
Discuss
بیرکاری
Function Fun A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Rebekah Cook HS Guided بیرکاری
Middle School Math Sim Alignment This contribution was designed by PhET. Amanda McGarry MS دیکه‌ بیرکاری
Properties of representations of linear functions This contribution was designed by PhET. Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry MS Discuss بیرکاری
Exploring Linear Functions Dan Felknor MS
HS
Guided بیرکاری
Constructing Functions Peter Boylan K-5 Guided
تاقیگه‌
بیرکاری
Function Builder Esther Lok MS
K-5
تاقیگه‌
Guided
بیرکاری
Função Polinomial do 1º grau com o auxílio do OA Construtor de Funções Francisco Hedyleno Coelho Bezerra e Francisco Regis Vieira Alves MS HW
تاقیگه‌
بیرکاری
Trabalhando com o Construtor de Funções Francisco Wagner Soares Oliveira e Ana Carolina Costa Pereira MS دیکه‌
تاقیگه‌
بیرکاری
TRABALHANDO O CONCEITO DE FUNÇÃO AFIM OU FUNÇÃO POLINOMIAL DO 1º GRAU Antonia Naiara de Sousa Batista; Ana Carolina Costa Pereira MS تاقیگه‌
Guided
بیرکاری
TRABALHANDO O CONCEITO DE FUNÇÃO AFIM OU FUNÇÃO POLINOMIAL DO 1º GRAU Naiara Batista MS تاقیگه‌ بیرکاری
Exercício - Introdução à Lógica de Programação Ruriel Gomes dos Santos HS
MS
HW دیکه‌

زوان Download or Run Tips
Arabic All العربية Download Run now انشاء دالّة
Basque All Euskara Download Run now Funtzio-eraikitzailea
Bosnian All Bosanski Download Run now Graditelj funkcija
Brazilian Portuguese All português (Brasil) Download Run now Construtor de Funções
Chinese - Simplified All 中文 (中国) Download Run now 建立方程
Chinese - Traditional All 中文 (台灣) Download Run now Function Builder_函數
Croatian All hrvatski Download Run now Graditelj funkcija
Czech All čeština Download Run now Tvůrce funkcí
Danish All Dansk Download Run now Funktions-bygger
Dutch All Nederlands Download Run now Functie Bouwer
Estonian All Eesti Download Run now Funktsiooni ehitamine
French All français Download Run now Constructeur de fonction
German All Deutsch Download Run now Funktionen Düse
Greek All Ελληνικά Download Run now Δημιουργός συναρτήσεων
Hindi All हिंदी Download Run now फलन निर्माण
Hungarian All magyar Download Run now Függvényépítő
Irish All Gaeilge Download Run now Tógálaí Feidhmeanna
Italian All italiano Download Run now Costruisci una funzione
Japanese All 日本語 Download Run now マジックスコープ
Kazakh All Kazakh Download Run now Функцияларды құру
Korean All 한국어 Download Run now 함수 제조기
Latvian All Latviešu Download Run now Funkciju veidošana
Marathi All मराठी Download Run now फंक्शन बिल्डर
Mongolian All Монгол (Монгол) Download Run now Үйлдэл бүтээгч
Norwegian Bokmal All Norsk bokmål Download Run now Funksjonsbygger
Polish All polski Download Run now Tworzenie funkcji
Russian All русский Download Run now Функциональная зависимость
Serbian All Српски Download Run now Градитељ једначина
Slovak All Slovenčina Download Run now Tvorba funkcií
Slovenian All Slovenščina Download Run now Funkcije
Spanish All español Download Run now Generador de Funciones
Spanish (Mexico) All español (México) Download Run now Generador de Funciones
Spanish (Peru) All español (Perú) Download Run now Generador de Funciones
Spanish (Spain) All español (España) Download Run now Generador de funciones
Swedish All svenska Download Run now Funktionsmaskin
Turkish All Türkçe Download Run now Fonksiyon Oluştur
Vietnamese All Tiếng Việt Download Run now Hàm số

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.

Design Team Third-party Libraries سوپاس بۆ
  • Amanda McGarry (lead designer)
  • Chris Malley (developer)
  • Amy Hanson
  • Karina K. R. Hensberry
  • Ariel Paul
  • Kathy Perkins
  • Sam Reid
  • Beth Stade
  • David Webb
  • almond-0.2.9.js
  • BigInteger-cda5bcc.js
  • BigRational-8f8c2fa.js
  • easing-equations-r12
  • FileSaver-b8054a2.js
  • fontawesome-webfont-3.0.2.svg
  • game-up-camera-1.0.0.js
  • jama-1.0.2
  • jquery-2.1.0.js
  • lodash-2.4.1.js
  • pegjs-0.7.0.js
  • seedrandom-2.4.2.js
  • text-2.0.12.js
  • Tween-r12.js