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Lesson Plan
Alabama Learning Exchange

Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine

For Teachers 10th - 12th Standards
Students explore the concept of sine and cosine.  In this sine and cosine activity, students work in groups to graph sine and cosine functions.  Students examine how coefficients in various parts of each parent function shift the graph. ...
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Lesson Plan
Curated OER

Maximum, Minimum, Increasing, Decreasing

For Teachers 9th - Higher Ed Standards
Learners practice with the StudyCard set on assessing real-world contexts dealing with the concepts of maximum, minimum, increasing and decreasing. They view a variety of quadratic functions and equations with their TI-83 Plus calculators.
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Worksheet
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Curated OER

Graphing Square Root and Other Radical Functions

For Students 10th - 12th Standards
In this worksheet, students graph the square root and other radical functions by examining the parent function and the translations and shifts that occur within the function family. The two page worksheet contains twelve problems. 
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Handout
Wolfram Research

Wolfram Math World: Rational Function

For Students 9th - 10th Standards
This site provides formulas and definitions as well as related links to rational functions.
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Activity
University of Vienna (Austria)

Math Online: Functions

For Students 9th - 10th Standards
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
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Graphic
William Mueller

William Mueller: Families of Functions

For Students 9th - 10th Standards
Meet the Function Family! Each member of the family has examples of their graphs and descriptions of the types of real-world situation that produce those graphs.
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Functions and Their Graphs

For Students 9th - 10th Standards
Thirty-three problems present a variety of practice graphing a relation and checking to see if it is a function. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then...
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Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Special Functions

For Students 9th - 10th Standards
Twenty-five problems present a variety of practice identifying and graphing various functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
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Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Domain, Range, Vertical Line Test

For Students 9th - 10th Standards
A detailed tutorial on functions covering the following topics: finding the domain and range of a function, using the vertical line test, determining whether a function is even, odd, or neither, and applying the greatest integer function...
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Handout
Paul Dawkins

Paul's Online Notes: Algebra: The Definition of a Function

For Students 9th - 10th Standards
Detailed math tutorial features definitions and examples that take a look at relations and functions, function notation, the domain and range of a function, and piecewise functions.
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Handout
Cuemath

Cuemath: Range in Algebra

For Students 9th - 10th Standards
Explore the world of range in Algebra in this mini-lesson. Provides a definition and examples that help with understanding how to find the range of a function and domain. Includes solved examples and interactive questions with answers.
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Activity
York University

York University: Piecewise Defined Function

For Students 9th - 10th Standards
Provides a problem with piecewise defined functions and gives hints to work through the problem.
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Graphic
Windstream

Ojk's Precalculus Study Page: Functions

For Students 9th - 10th Standards
An introduction to the basic terminology of functions, including how to use the vertical line test on the graph of a relation as a means of testing whether or not it is a function.
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Handout
Richland Community College

Richland Community College: Functions

For Students 9th - 10th Standards
Richland Community College gives a definition and examples of a function. Also includes steps to evaluate piecewise functions on a calculator.
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Activity
Texas Instruments

Texas Instruments: Piecewise Functions

For Teachers 9th - 10th Standards
In this activity, students investigate piecewise functions for continuity and differentiability.
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Activity
Texas Instruments

Texas Instruments: Exploring Families of Functions

For Teachers 9th - 10th Standards
This activity provides students an opportunity to discover the similarities involved in shifting the parent functions for absolute value, quadratic, cubic, radical, exponential, and logarithmic functions. Students will also be given the...
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Activity
Texas Instruments

Texas Instruments: Transforming Functions

For Teachers 9th - 10th Standards
Explore transformations on an absolute value graph. Apply what you learn to Square root and x-squared equations.
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Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Operations With Functions

For Students 9th - 10th Standards
Learn how to perform operations with functions via viewing problems and step-by-step solutions and completing several practice problems and checking your work.
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Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Graphing Functions by Plotting Points

For Students 9th - 10th Standards
Learn how to graph a function by plotting points and how to determine the domain and range of a function through sample problems and step-by-step solutions and practice problems for you to complete.
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Functions

For Students 9th - 10th Standards
The tutorial explores functions from the numerical, algebraic, and geometric viewpoints. Students learn about the concepts through class notes, examples, and practice problems. Topics include domain and piecewise functions. Quizzes are...
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Activity
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Functions

For Students 9th - 10th Standards
Northeast Parallel Architecture Center, Syracuse University, provides a quick overview of the definition of function, as well as the role of domain and range.
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Graphic
Math Words

Math Words: Step Function

For Students 9th - 10th Standards
This MathWords.com site describes a step function by offering the defining graphical characteristics.
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Unit Plan
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: El Lenguaje De Las Funciones

For Students 9th - 10th Standards
In Spanish. This is an interactive activity to calculate the domain and range of a function, to recognize the graphs of different functions and learn the global behavior of a function.
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Unit Plan
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Funciones Elementales

For Students 9th - 10th Standards
This is an interactive activity to recognize a liner, quadratic or radical function by its algebraic expression or by its graph.