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Interactive
PHET

Function Builder

For Students 8th - 12th Standards
Build confidence about functions with the function builder. Pupils learn about functions and transformations using an interactive. A function machine transforms pictures, numbers, and equations based on a function rule. A mystery...
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Interactive
PHET

Function Builder: Basics

For Students 8th - 12th Standards
Learn about functions using the function builder app. A fun online interactive has the class conduct an investigation using a function machine. Inputs are pieces of art, and output are transformations of these pieces of art.
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Activity
5280 Math

Factory Functions

For Teachers 8th - 10th Standards
Solve a real-life problem using function-building skills. Presented with an open-ended question, scholars complete a checklist to create and justify a solution in an interesting algebra project. The checklist asks for justifications of...
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Interactive
Shodor Education Foundation

Function Machine

For Students 6th - 9th Standards
Machines can be so helpful sometimes. A simple interactive has learners enter input values for a function machine and observe output values. These values help determine a function that represents the input-output relationship in the...
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Interactive
Shodor Education Foundation

Linear Function Machine

For Students 6th - 10th Standards
What goes in must come out! Learners play with a function machine to determine the correct function. They enter input values and watch as the machine produces the output.
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Interactive
Shodor Education Foundation

Two Variable Function Pump

For Students 9th - 12th Standards
Use a function to operate on two variables. Pupils look at operating with complex numbers as a function of two variables. The interactive squares the input and adds a constant to it. Learners visualize the resulting output and its...
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Whats My Rule?

For Students 6th - 9th Standards
What's the rule that makes it true?  A virtual function machine generates output values as learners submit the input values. Their job is to analyze the inputs and outputs for a pattern and write a function rule.
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine 1

For Students 6th - 9th Standards
Challenge your classes to find the pattern of a double function machine. After recording the outputs of both machines, learners identify the pattern and the corresponding function. Both patterns involve adding/subtracting a constant.
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine!

For Students 6th - 9th Standards
Watch as a function machine converts an input to an output. Learners determine the work applied by the function machine to write a function rule. Questions accompany the function machine animation to guide individuals to conclusions.
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Lesson Plan
EngageNY

Formal Definition of a Function

For Students 8th Standards
Formalize the notion of a function. Scholars continue their exploration of functions in the second lesson of the module. They consider functions as input-output machines and develop function rules for selected functions.
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Lesson Plan
Mathematics Assessment Project

Building and Solving Linear Equations

For Teachers 8th Standards
Young scholars write and solve linear equations in one variable based on descriptions of the operations that are applied to the unknown variable in an algebra machine. They then create their own problems for classmates to solve.
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Lesson Plan
Curated OER

Monster Frog Function Machine

For Teachers 3rd - 5th
Elementary schoolers use a function machine in order to help them look at the relationship between input and output, and to look at the rule for the change. The machine is actually a cardboard box, and it serves quite well for the...
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Lesson Plan
Curated OER

Interactivate: Introduction to Functions

For Teachers 7th - 9th
This interactive website provides a variety of lesson plans according to which standards you are applying and which textbook you use. Introduce functions to your class by having them construct single operation machines and create...
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Lesson Plan
Curated OER

Algebra Nomograph

For Teachers 9th - 12th Standards
Investigation of a nomograph teaches students to determine the rule of a function by examining the input and output values.  Students use a nomograph on their Ti-Nspire to determine the function rule.  Students make a scatter plot of...
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Worksheet
Curated OER

Functions

For Students 11th
In this functions worksheet, 11th graders solve and complete 30 various types of multiple choice problems that include reading and interpreting functions and patterns. First, they determine the table that best represents a function....
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Worksheet
Curated OER

Functions

For Students 9th
In this functions worksheet, 9th graders solve and complete 12 different multiple choice problems. First, they use the function machine shown to determine the value of a number. Then, students find the zero of various functions. They...
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Lesson Plan
Curated OER

The Function Machine

For Teachers 4th
Fourth graders solve division problems by practicing on function machine.
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Lesson Plan
Utah Education Network

Uen: Generating and Recording Data

For Teachers K Standards
This "fish" activity will help early elementary students develop skills related to categorizing, recording data, developing vocabulary, and counting. An assessment rubric is attached.
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Interactive
Shodor Education Foundation

Shodor Interactivate: Whole Number Cruncher

For Students 3rd - 8th Standards
Put a number, the input, in the Whole Number Cruncher. See if you can discover the rule that gives you the result, the output. Directions are just a click away.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.f Function Rules

For Teachers 8th Standards
Four tables showing different types of input and output values are presented and students are asked to describe function rules for them and fill in any missing values. Aligns with 8.F.A.1.
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Activity
Shodor Education Foundation

Shodor Interactivate: Linear Function Machine

For Students 9th - 10th Standards
An interactive "machine" allows you to see first hand how a function works. Enter several input values, receive the output values, and determine the algebraic function.