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Interactive
CK-12 Foundation

Algebraic Functions: Vertical Line Test

For Students 8th
To be (a function) or not to be (a function). An easy-to-use interactive has pupils drag a vertical line onto several graphs to determine if they represent functions. Some challenge questions assess understanding of this idea.
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Interactive
Scholastic

Study Jams! Function Tables

For Students 3rd - 6th Standards
Each week Mia saves a certain portion of the earnings from her babysitting job. Help her figure out how much she can save this week with a step-by-step presentation on function tables. Given a set of inputs and outputs, the process for...
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Lesson Plan
EngageNY

Four Interesting Transformations of Functions (Part 4)

For Students 9th - 10th Standards
What do you get when you cross piecewise functions with transformations?  An engaging lesson! The conclusion of a four-part series on the transformations of functions asks class members to apply transformations to piecewise functions...
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Unit Plan
Mathematics Vision Project

More Functions, More Features

For Teachers 10th - 12th Standards
Learners tackle a wide range of intimidating topics in this comprehensive unit that spans piecewise functions, absolute value of functions, and inverse functions (among other topics). Investigative group work alternates with more...
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Lesson Plan
Curated OER

Identifying Linear Functions from Graphs

For Teachers 6th - 9th
Keep your mathematicians engaged using this group linear functions activity. Each of ten groups receives two graphs with both an image and equation, as well as a "who has" phrase to call out the next graph. Scholars stay on their toes as...
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Lesson Plan
EngageNY

Graphing the Logarithmic Function

For Teachers 10th - 12th Standards
Teach collaboration and communication skills in addition to graphing logarithmic functions. Scholars in different groups graph different logarithmic functions by hand using provided coordinate points. These graphs provide the basis for...
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Lesson Plan
Illustrative Mathematics

Introduction to Linear Functions

For Teachers 7th - 9th Standards
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
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Lesson Plan
Curated OER

Bouncing Ball : Function Families

For Teachers 6th - 12th
A bouncing ball serves as more than entertainment when learning to apply quadratic functions to real-world events. This is the second of a two-part lesson, which can also be accessed from the website. The instructions say to measure the...
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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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Lesson Plan
Curated OER

Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions

For Teachers 9th - 10th
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
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Lesson Plan
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West Contra Costa Unified School District

Introduction to Inverse Functions

For Students 9th - 12th Standards
Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
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Lesson Plan
EngageNY

Translating Graphs of Functions

For Students 9th - 10th Standards
If you know one, you know them all! Parent functions all handle translations the same. This lesson examines the quadratic, absolute value, and square root functions. Pupils discover the similarities in the behavior of the graphs when...
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Assessment
Inside Mathematics

Functions

For Teachers 9th - 12th Standards
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. 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

Graphs and Functions

For Teachers 7th - 9th Standards
Middle schoolers describe plotting functions on the Cartesian coordinate plane. They solve functions on paper and using an online tool to plot points on a Cartesian coordinate plane creating lines and parabolas.
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Worksheet
Curated OER

Sets, Relations, and Functions

For Students 9th - 11th
Sets, relations, functions, and graphing linear equations are practiced in this challenging learning exercise. The class determines if a relation is a function or not and find the functional value of a domain element. The one page...
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eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
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Lesson Plan
West Contra Costa Unified School District

Comparing Rational Functions and Simplified Functions

For Teachers 10th - 12th Standards
What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order to...
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Lesson Plan
West Contra Costa Unified School District

Shifting Linear Equations in Function Notation

For Students 8th - 10th Standards
Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.
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Lesson Plan
EngageNY

Piecewise and Step Functions in Context

For Students 9th - 10th Standards
Looking for an application for step functions? This activity uses real data to examine piecewise step functions. Groups create a list of data from varying scenarios and create a model to use to make recommendations to increase revenue. 
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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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Lesson Plan
Curated OER

Do Two Points Always Determine a Linear Function II?

For Teachers 9th - 12th Standards
Learners analyze the difference between the slope intercept and standard forms of a line in this task. Given two general points using letters they explore linear functions and linear equations.
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Lesson Plan
02 x 02 Worksheets

Inverse Functions

For Students 10th - 12th Standards
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
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Lesson Plan
Mathematics Assessment Project

Representing Functions of Everyday Situations

For Teachers 10th - 12th Standards
Functions help make the world make more sense. Individuals model real-world situations with functions. They match a variety of contexts to different function types to finish a helpful resource.