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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
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 lesson plan, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students...
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Worksheet
Curated OER

Composite Functions and Inverse Functions

For Students 8th - 12th
For 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
Curated OER

Function Composition

For Teachers 9th - 12th Standards
Students solve two functions at once. In this algebra lesson, 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
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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

Limits of Composition Functions

For Students 11th - 12th
In this limits worksheet, students find the limits of 9 composition functions.  Students evaluate limits for each function at a specific value or as it approaches any value.
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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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Worksheet
Curated OER

More Differentiation

For Students 11th - Higher Ed
In this differentiation activity, students solve and complete 8 various types of problems. First, they differentiate each of the equations listed. Then, students find an equation of the tangent to the curve at a given point. They also...
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Lesson Plan
Curated OER

Worksheet 10, Functions and Inverses of Functions

For Teachers 10th - 11th
In this algebra worksheet, learners 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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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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Lesson Plan
Curated OER

Composition of Functions

For Teachers 9th - 12th
Students solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
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Worksheet
Curated OER

The Functional Notation Problem

For Students 9th - 12th
In this composite functions instructional activity, students solve 1 composite functions problem by finding f(2x) in terms of f(x).  Students use a rational function when finding f(2x).
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Worksheet
Curated OER

Compound Functions

For Students 9th
In this compound functions worksheet, 9th graders solve 12 different problems that include determining the value of various functions. First, they take the y-value answers from one function and change it to the domain or x-values of the...
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Worksheet
Curated OER

The Chain Rule and Applications

For Students Higher Ed
In this chain rule worksheet, students use the chain rule to differentiate compositions, and determine the value of the limits. They give reasons justifying each step of the chain theorem. This six-page worksheet contains theorems,...
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Worksheet
Curated OER

Related Functions

For Students Higher Ed
In this function activity, students discuss how a function would change if it shifted on a graph. They create ten new, related functions. Students identify odd, even and symmetric functions. This two-page activity contains examples,...
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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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Worksheet
Curated OER

Finding the Limit of Composite functions

For Students 9th - 10th
In this pre-calculus instructional activity, 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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Worksheet
Curated OER

Algebra II - Lesson 9.4: Operations with Functions

For Students 9th - 12th
In this composition functions worksheet, students solve 1 short answer problem. Students find f(g(-3)) given the f(x) and g(x) functions.