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Interactive
Shodor Education Foundation

Multi-Function Data Flyer

For Students 8th - 12th Standards
Explore different types of functions using an interactive lesson. Learners enter functions and view the accompanying graphs. They can choose to show key features or adjust the scale of the graph.
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Assessment
Illustrative Mathematics

Building a Quadratic Function Form

For Students 9th - 12th Standards
A simple tweak in the equation can mean big things for a quadratic graph. High school mathematicians look at the parent graph of a quadratic and incorporate three different changes to the function. The problems require explanations of...
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Lesson Plan
West Contra Costa Unified School District

Graphing Family of Functions

For Teachers 8th - 10th
Functions have families, too. Learners first graph the parent functions for linear, quadratic, and cubic functions, and then use vertical translations to graph families of functions.
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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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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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Assessment
CPALMS

Writing an Exponential Function from its Graph

For Students 9th - 12th Standards
Grow an equation for the exponential graph. Given a graph of an exponential function, class members write the equation of the function provided. The graph labels two points on the graph: the y-intercept and the point where x is one.
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Lesson Plan
Project Maths

Trigonometric Functions

For Teachers 9th - 12th Standards
From a circle to a cycle! The final lesson of a five-part series challenges learners to use points from the unit circle to plot a repeating pattern. The repeating patterns become the graphs of the trigonometric functions. Scholars also...
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Lesson Plan
West Contra Costa Unified School District

Evaluating Functions Graphically and Algebraically

For Teachers 8th - 10th Standards
High schoolers evaluate functions graphically and algebraically. After completing that step, they write a statement describing the input and output.
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Lesson Plan
EngageNY

Graphs of Piecewise Linear Functions

For Students 9th - 10th Standards
Everybody loves video day! Grab your class's attention with this well-designed and engaging resource about graphing. The video introduces a scenario that will be graphed with a piecewise function, then makes a connection to domain...
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Assessment
1
1
Illustrative Mathematics

Graphing Rational Functions

For Students 9th - 12th Standards
The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
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Assessment
Mathematics Assessment Project

Functions

For Students 8th - 9th Standards
Studying function means more than simply learning a formula. Learners must use functions to think through four problems and find solutions. Each task utilizes a different concept from a study of functions. Class members might use a...
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Handout
Modesto Junior College

Graphical Transformations of Functions

For Students 9th - 12th Standards
Transform your knowledge from average to excellent with this comprehensive guide to function transformations. All of the types of shifts, stretches, and reflections are included with an explanation and coordinating graph to show...
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Worksheet
Mt. San Antonio Collage

Test 1: Functions and Their Graphs

For Students 9th - 12th Standards
Save the time creating an assessment because these function problems should do the trick. With 10 multi-part questions, they each focus on a different topic including radical, polynomial, linear and piecewise functions. The majority of...
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Assessment
Mt. San Antonio Collage

Quiz 2: Types of Functions

For Students 9th - 12th Standards
Here is a resource that provides the structure of an assessment with the convenience of a full answer key. The focus is on rational, exponential, and logarithm functions with a few questions on solving polynomials. 
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Worksheet
Mt. San Antonio Collage

Graphs of Rational Functions

For Students 9th - 12th Standards
Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question. 
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Assessment
Mt. San Antonio Collage

Quiz 1: Types of Functions

For Students 9th - 12th Standards
Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...
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Worksheet
Vanier College

Logarithmic Function

For Students 9th - 12th Standards
The worksheet provides an extensive selection of questions regarding logarithm functions. Evaluating, rewriting, solving, and tons more topics are included in the worksheet.
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Lesson Plan
EngageNY

Exploring the Symmetry in Graphs of Quadratic Functions

For Students 9th - 10th Standards
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The instructional activity begins with the vocabulary of a quadratic...
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Instructional Video19:40
2
2
Flipped Math

Transformations of Functions, Pt. 1

For Students 9th - 12th Standards
It is transformational! With the beginning lesson on transformations, pupils learn about vertical and horizontal translations. Scholars see how to graph important points to show the translations and then to write the transformed graph in...
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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 based on Graphs: Making Money in the Hat Business

For Students 8th - 9th Standards
Hats off to those learning about the graphs of functions. Individuals use an interactive to plot points representing profits for a hat business. They identify a quadratic equation to represent this function and answer challenge questions...
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Worksheet
2
2
Flipped Math

Unit 7 Review: Exponential Functions

For Students 9th - 12th Standards
Take a break from learning new information and take time to review. Scholars review the unit by completing some practice problems. They rewrite expressions using exponents, solve exponential equations, graph exponential functions,...
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Lesson Plan
West Contra Costa Unified School District

Graph Square Root and Cube Root Functions

For Teachers 9th - 11th
Scholars first learn to graph square root and cube root functions by creating a table of values. They then learn how to graph functions from transformation of the graphs of the parent square root and cube root functions.
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Instructional Video27:46
2
2
Flipped Math

Transformations of Functions, Pt. 2

For Students 9th - 12th Standards
Workout with stretches and compressions. Scholars view what happens to the graph when multiplying a function by a number. Learners combine stretches and compressions with translations before practicing the newly learned skill by pausing...

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