Function Builder
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Topics
- 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 1.0.17
Teacher Tips
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Overview of sim controls, model simplifications, and insights into student thinking ( PDF ). |
Teacher-Submitted Activities
| Title |
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Authors | Level | Type | Subject |
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| Defining Functions |
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Amanda McGarry | MS | Guided | Mathematics |
| Describing Functions |
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Leigh Anne Emberg | HS MS |
Guided | Mathematics | |
| Comparing Functions: Function Sleuthing to Find Rules |
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Cary Hoste | HS MS |
Guided | Mathematics | |
| Funky Functions |
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Mary Burr | MS | Guided Discuss |
Mathematics | |
| Function Fun |
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Rebekah Cook | HS | Guided | Mathematics | |
| Properties of representations of linear functions |
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Jennifer Knudsen, Teresa Lara-Meloy, Amanda McGarry | MS | Discuss | Mathematics | |
| CCSS Math Alignment with Sims |
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Amanda McGarry | MS K-5 HS |
Other | Mathematics | |
| Exploring Linear Functions | Dan Felknor | MS HS |
Guided | Mathematics | ||
| Constructing Functions | Peter Boylan | K-5 | Lab Guided |
Mathematics | ||
| Function Builder | Esther Lok | MS K-5 |
Lab Guided |
Mathematics | ||
| Preguntas de razonamiento para todas las simulaciones HTML5 |
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Diana López | K-5 HS UG-Adv Grad UG-Intro MS |
Discuss HW |
Mathematics Physics Astronomy Chemistry |
| Trabalhando com o Construtor de Funções | Francisco Wagner Soares Oliveira e Ana Carolina Costa Pereira | MS | Lab Other |
Mathematics | ||
| TRABALHANDO O CONCEITO DE FUNÇÃO AFIM OU FUNÇÃO POLINOMIAL DO 1º GRAU | Antonia Naiara de Sousa Batista; Ana Carolina Costa Pereira | MS | Lab Guided |
Mathematics | ||
| TRABALHANDO O CONCEITO DE FUNÇÃO AFIM OU FUNÇÃO POLINOMIAL DO 1º GRAU | Naiara Batista | MS | Lab | Mathematics | ||
| Exercício - Introdução à Lógica de Programação | Ruriel Gomes dos Santos | MS HS |
HW | Other |
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 | Thanks To |
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