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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
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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AP Test Prep15:20
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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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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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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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AP Test Prep
1
1
Flipped Math

Calculus AB/BC Unit 3 Review: Differentiation

For Students 10th - 12th
It's time to take stock of the class's knowledge of derivatives. Individuals review how to take the derivatives of composite, implicit, and inverse functions. They complete some problems involving the Chain Rule, implicit...
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Worksheet
Curated OER

Calculus 30 - Typical Exam Questions

For Students 11th - 12th
In this limits and functions worksheet, students solve 30 short answer questions about calculus  Students find limits, domain, range, tangent lines, derivatives, and composition functions.
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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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eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
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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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Handout
Curated OER

Study Guide for the Advanced Placement Calculus AB Examination

For Teachers 11th - 12th Standards
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
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Interactive
CK-12 Foundation

Chain Rule

For Students 11th - Higher Ed
Keep it on the chains. Pupils work through the steps in the chain rule using the interactive as a guide. Learners identify the two composed functions and their associated derivatives from a set of choices. They continue on to build the...
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Lesson Plan
Curated OER

Functions / Domain

For Teachers 11th - Higher Ed
Students identify and define what a function is and how to identify them and relations. They also use functional notation to compute the values of composite functions. Finally, students determine the domain and range of a given function.
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Worksheet
Curated OER

Finding the Limit of Composite functions

For Students 9th - 10th
In this pre-calculus learning exercise, students calculate the composite of two functions as well as perform basic operations in order to determine the limit as x approaches a given number. There are 4 questions.
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Lesson Plan
Curated OER

Composition of Functions

For Teachers 9th - 10th
Students solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.
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Worksheet
Curated OER

Functions

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students evaluate functions. Students graphs functions and determine the domain and range, find the sum, difference, and product of functions, find composite functions and explore the end-behavior...
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eBook
Rice University

College Algebra

For Students 9th - Higher Ed Standards
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
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Assessment
EngageNY

End-of-Module 3 Assessment Task

For Teachers 11th - 12th Standards
Let's see what the class learned! The last installment of the 23-part Pre-calculus module consists of nine assessment questions designed to measure a specific portion of a standard in the unit. Learners demonstrate their understanding of...
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Lesson Plan
Curated OER

Functional Analysis

For Teachers 9th - 10th
Students perform functional analysis. For this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
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Lesson Plan
Curated OER

#3 Differential Calculus

For Teachers 12th - Higher Ed
Students create models of the Mean Value Theorem.  In this Mean Value lesson, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem.  They illustrate the meaning of the throrem, create...
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Lesson Plan
Curated OER

Computer Graphing Calculator Explorations

For Teachers 9th - 12th
High schoolers explore the graphing calculator feature on the Macintosh computer to explore some "parent" functions and their translations, combinations, and composites.
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Unit Plan
Cuemath

Cuemath: Composite Function

For Students 9th - 10th Standards
A comprehensive guide for learning all about composite functions with definitions, how to solve them, solved examples, and practice questions.
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Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: The Chain Rule

For Students 9th - 10th
Here is a site that clearly and thoroughly explains the chain rule for derivatives of composite functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Operations on Functions

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to add, subtract, multiply, divide and compose two or more functions. Students examine guided notes, review guided practice, watch...