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Lesson Plan
Curated OER

Types of Functions and Composition of Functions

For Teachers 10th - 12th
Algebra II classes solve problems relating to piecewise functions, step functions, and decomposition/composition of functions. They utilize links to work with real world examples. Mr. Pleacher has added humor to the instructional...
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Worksheet
Curated OER

Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
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Lesson Plan
Curated OER

Pedal Power

For Teachers 8th - 10th
Employ proportional reasoning and algebraic understanding to a determine a real world math quandary. Intel has created a project based unit to engage learners in using algebra to describe the physical world. They will create equations,...
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Lesson Plan
Curated OER

Linear Piecewise Functions

For Teachers 10th - 12th
Students explore the concept of piecewise functions. In this piecewise functions instructional activity, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function....
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Worksheet
Curated OER

Easy Worksheet: Limits 2

For Students 11th - 12th
In this limits worksheet, students solve 4 short answer problems. Students identify the limit of a function for a specified value given a graph, equation, or piecewise function.
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Worksheet
Curated OER

Evaluating Functions

For Students 11th
In this evaluating functions activity, 11th graders solve and complete 24 various types of problems. First, they evaluate the functions for the given values. Then, students graph each of piecewise functions. They also write an equation...
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Lesson Plan
Curated OER

The Function Elevator

For Teachers 9th - 11th
Students solve and graph functions. In this precalculus lesson plan, students use piecewise function to relate real life scenarios. They analyze the graphs and identify the vertex and intercepts.
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Lesson Plan
Curated OER

Match Me Plus

For Teachers 9th - 12th Standards
Have your class investigate Piecewise functions by matching a position versus time graph to the function that describe the walk.
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Worksheet
Curated OER

Quiz 2: Euler's Method and Piecewise Linear Functions

For Students Higher Ed
In this linear function activity, students use Euler's method to approximate a solution to an initial value problem. This two-page activity contains three multi-step problems.
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Handout
Paul Dawkins

Paul's Online Notes: Algebra: Graphing Functions

For Students 9th - 10th Standards
Detailed math tutorial features notes and examples that take a look at graphing functions including several examples of graphing piecewise functions.
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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
University of Georgia

University of Georgia: Piecewise Linear Functions

For Students 9th - 10th
Piecewise linear functions are presented with examples and definitions. See how piecewise functions are applied to real-world situations through an example with income taxes.
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Activity
Texas Instruments

Texas Instruments: Write a Program to Do Piecewise Functions

For Teachers 9th - 10th
A fun activity to help students learn how to graph a piecewise function and learn how to write a BASIC program. Gives a sense of Accomplishment.
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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: Design Curves

For Teachers 9th - 10th
Students plot points then use regression lines to design a vehicle.
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Activity
Texas Instruments

Texas Instruments: Recursive and Other Special Functions

For Teachers 9th - 10th Standards
This set of questions includes problems on recursive sequences, piecewise and step functions, and translations of functions. Questions are multiple choice, true/false, and short answer with solutions included.
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Activity
Texas Instruments

Texas Instruments: How Americans Got So Jittery

For Teachers 9th - 10th
Students develop piecewise functions to plot the growth of Starbucks and to try and predict where they are going.
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Activity
Texas Instruments

Texas Instruments: Piecewise Functions on Ti Interactive

For Teachers 9th - 10th
Despite what most of us veiw as an excellent TI InterActive! Help file, my students have a difficult time getting the appropriate graphs after reading it. This is visual directions on how to enter piecewise functions in TI InterActive!...
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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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Unknown Type
McGraw Hill

Glencoe Mathematics: Online Study Tools: Self Check Quiz on Piecewise Functions

For Students 9th - 10th Standards
Students show comprehension of advanced mathematical concepts in Algebra II. The questions check understanding on piecewise functions including applications and graphing.
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Activity
Texas Instruments

Texas Instruments: Absolute Value and Piecewise Functions

For Teachers 9th - 10th Standards
Students will graph absolute value and piecewise functions on graphing calculators and see the effects of a, h, and k.
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Website
Purple Math

Purplemath: General Polynomials

For Students 9th - 10th Standards
Confused about graphing or just need a refresher? This explanation focuses on graphing higher-power polynomials along with radical functions, rational functions, and piecewise functions. Plenty of examples are included.
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Unit Plan
Khan Academy

Khan Academy: Domain of Advanced Piecewise Functions

For Students 9th - 10th
Determine the domain of piecewise functions whose assignment rules have different expression types. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Unknown Type
Khan Academy

Khan Academy: Algebra I: Evaluate Piecewise Functions

For Students 9th - 10th
Given the formula of a piecewise function, evaluate it for a specific input. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.