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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

Input-Output Tables for Function Rules

For Students 6th - 9th Standards
How does changing a graph affect the function? Learners watch the changing input-output table as they adjust the location of the line graph. Questions prompt them to complete a table of values and determine the function rule.
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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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Interactive
CK-12 Foundation

Input-Output Tables for Function Rules

For Students 6th - 9th Standards
Make the abstract a bit more concrete with an interactive that asks learners to slide an input value through a function to determine the output. Changing the slope and y-intercept allows them to see the how the output values change.
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Activity
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1
Teach Engineering

Club Function

For Teachers 7th - 9th Standards
Let's get the herd to follow the rules. The activity associated with the second lesson in the unit introduces the class to the definition of a function. Individuals must gather in groups of zebras and rhinos defined by the general...
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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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Lesson Plan
Alabama Learning Exchange

Building Functions: Composition of Functions

For Teachers 9th - 12th Standards
Hammer away at building different types of functions. An engaging lesson builds on learners' knowledge of domain and range to create an understanding of composite functions. Young scholars learn to write composite functions from various...
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Lesson Plan
EngageNY

Function Composition

For Teachers 11th - 12th Standards
Combine functions for the first time. Pupils investigate composition of functions using a function table and then function machines in the 17th installment in a 23-part Precalculus series. Scholars learn the two notations for composition...
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Assessment
1
1
Balanced Assessment

Function or Not?

For Students 9th - 12th Standards
Is it possible for an equation to be a function and not a function at the same time? By completing a short assessment, young mathematicians answer this question. Class members provide an explanation on how an equation represents a...
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Worksheet
Concord Consortium

Rule of 72

For Students 9th - 12th Standards
Find an easier way to double it. Using the price of an item and the Consumer Price Index, learners determine how long it will be for the price to double. Scholars calculate the length of time it would take for the price to double using a...
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Lesson Plan
Curated OER

Functions - Intro and Inverses

For Teachers 9th - 11th
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
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Interactive
CK-12 Foundation

Function Rules for Input-Output Tables: Function Machine 2

For Students 6th - 9th Standards
Model function operations using a function machine. An interactive lesson has learners determine the patterns of a double function machine. They use the patterns to write functions and make connections between the inputs and outputs.
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Interactive
CK-12 Foundation

Chain Rule

For Students 11th - Higher Ed
Keep it on the chains. Pupils work through the steps in the chain rule using the interactive as a guide. Learners identify the two composed functions and their associated derivatives from a set of choices. They continue on to build the...
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Lesson Plan
EngageNY

Graphs of Linear Functions and Rate of Change

For Teachers 8th Standards
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
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Worksheet
Curated OER

Writing a Function Rule

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students determine the equation that correctly represents the relationship between the x and y values provided.  The one page worksheet contains four multiple choice problems.  Answers are not...
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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

Worksheet 6: Functions

For Teachers 12th - Higher Ed
In this math worksheet, young scholars answer 7 questions having to do with continuous functions, the Squeeze Theorem, and the Product Rule for differentiation.
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Worksheet
Curated OER

Exercise Set 2.6: An Introduction to Functions

For Students 9th - 12th
In this functions learning exercise, students solve 70 short answer questions. Students find domain of functions and evaluate them for a given value. Students determine if a mapping diagram represents a function.
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Lesson Plan
Curated OER

Worksheet 12: Functions

For Teachers 11th - Higher Ed
In this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
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Lesson Plan
Texas Instruments

Function Notation - Texas Instruments

For Teachers 8th - 10th Standards
Using a TI-Nspire calculator, learners will work to better understand function notation and input/output functions. They write equations with a function symbols, identify what makes an equation a function, and graph lines in order to...
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Activity
PBL Pathways

Death Project

For Teachers 10th - Higher Ed Standards
Verify the rule of thumb for finding the time of death. The project-based learning task asks pupils to determine when the rule of thumb process of finding the time of death is appropriate. Learners develop a function for the rule and...
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Handout
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Shoreline Community College

Properties of Logarithmic Functions

For Students 9th - 12th Standards
Use a straightforward approach to understanding logarithmic properties and their role in solving exponential and logarithmic equations to your math class. The lesson begins with an overview of a logarithmic function and its connection to...
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Assessment
Illustrative Mathematics

As the Wheel Turns

For Students 9th - 12th Standards
Determine the location of a point on a moving wheel. The task challenges groups to determine the horizontal and vertical locations of a point on the edge of wheel that is moving. Teams first determine a function that will model the...
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Lesson Plan
Curated OER

Similarities and Differences in Properties of Different Families of Functions - An Investigation

For Teachers 9th - 12th Standards
Exploring families of functions allows students compare and contrast properties of functions.  Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.