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Worksheet
Curated OER

Composite Functions and Inverse Functions

For Students 8th - 12th
In this function worksheet, students complete five lessons all with exercise sets, examples, and definitions, and one set of miscellaneous exercises.  The concepts covers include: composite functions, inverse functions, graphs of...
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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 plan builds on learners' knowledge of domain and range to create an understanding of composite functions. Young scholars learn to write composite functions from...
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Lesson Plan
Curated OER

Linear Piecewise Functions

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

Worksheet 10, Functions and Inverses of Functions

For Teachers 10th - 11th
In this algebra worksheet, students find the domain and range of composite functions. They use graphics from an unspecified text to create the graph of the inverse of the drawn function.
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Worksheet
Curated OER

Composition of Functions

For Students 11th - Higher Ed
In this composition of functions activity, students solve and complete 7 different problems related to various functions. First, they define a function, its domain and range, and also the composition of functions. Then, students solve...
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Worksheet
Curated OER

Worksheet 3.1 Functions

For Students 8th - 11th Standards
Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...
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Worksheet
Curated OER

Easy Worksheet: Composition Functions

For Students 9th - 12th
What should a function worksheet look like? This demo worksheet show the type of product that can be made using easyworksheet.com. It is composed of 4 problems, composition function of f(g(x)) given the f(x) and g(x) functions. Learners...
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Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and multiplication....
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Lesson Plan
West Contra Costa Unified School District

Evaluating Functions

For Teachers 8th - 10th Standards
Functions as inputs for other functions? After reviewing function notation and how to input values to evaluate functions, class members input functions into functions, essentially determining the composition of functions.
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Unit Plan
Mathematics Vision Project

Module 8: Modeling With Functions

For Students 10th - 12th Standards
Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
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Worksheet
Curated OER

Math Honors 2: Semester 1 Review

For Students 10th - 12th
In this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...
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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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Lesson Plan
Curated OER

Composite Functions

For Teachers 8th - 10th
Young scholars create a poster to explain composite functions. For this composite function worksheet, students explore linear equations and functions. They complete a worksheet and use manipulatives to complete problems.
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PPT
Curated OER

Calculus 3.6 - The Chain Rule

For Teachers 11th - 12th
Greg Kelly puts together another great slide presentation to demonstrate ways to combine derivative rules to evaluate more complicated functions. This pattern is called the chain rule.  He shows step by step ways to solve these...
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Lesson Plan
Virginia Department of Education

Composition of Functions

For Students 10th - 12th Standards
Analyze functions by decomposing complex functions and composing simple functions. Through a detailed lesson plan, pupils learn the vocabulary and notation related to the composition of functions. Practice includes both evaluating and...
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Lesson Plan
Curated OER

Composition Of Functions

For Teachers 9th - 12th
Students investigate the concept of a function and practice using the notation and compute the values of composite functions. They use the examples provided in the lesson for guided practice with scaffolding provided by the teacher.
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Assessment
1
1
Illustrative Mathematics

Exponentials and Logarithms II

For Students 9th - 12th Standards
A simple question sometimes is the best for discussion. High schoolers compare a logarithmic and exponential function and composite them into one another. They graph and compare the difference between the domains. The solution contains...
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Lesson Plan
Curated OER

Function Composition

For Teachers 9th - 12th Standards
Students solve two functions at once. In this algebra instructional activity, students add, subtract, multiply and divide composition functions. They use the correct notation and substitution to get their answer.
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Lesson Plan
Curated OER

Exercise Set 1.4: Operations on Functions

For Teachers 9th - 12th
In this composition functions worksheet, students solve 54 short answer problems.  Students find the composition of functions such as f of g and f + g.  Students find the domain of various functions.
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Worksheet
Curated OER

Derivatives of Composite Functions

For Students 11th - Higher Ed
In this derivatives of composite functions worksheet students examine given functions and identify the derivative of the composite function. This one-page worksheet contains 1 multi-step problems.
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AP Test Prep15:20
1
1
Flipped Math

Calculus AB/BC - The Chain Rule

For Students 10th - 12th
Unshackle oneself from the burden of not understanding derivatives. The first of seven lessons in Unit 3 - Differentiation looks at the Chain Rule. By watching a video, scholars learn when to apply the rule and how to use it to determine...
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Lesson Plan
1
1
Curated OER

Temperature Conversions

For Teachers 9th - 12th Standards
Your young weather buffs use compositions and inverses of functions to convert between Celsius, Fahrenheit, and Kelvin degrees. Then they analyze possible compositions and whether they exist in the real-life context.
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Lesson Plan
EngageNY

Solving Problems by Function Composition

For Teachers 11th - 12th Standards
Stay composed while solving problems. Learners put their knowledge of compositions to solve problems. To connect with the concept, scholars compose equations to answer questions from real-world situations. Finally, pupils practice using...

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