Curated OER
Integrating Functions
For this math worksheet, students find the answers to the functions that includes integration and trigonometry. They use the examples for help with the special functions.
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Composition of Functions and the Chain Rule
In this function instructional activity, students determine the natural domain and range for functions and formulas. They identify the composition of two functions and complete the derivation of the quotient rule. This three-page...
Flipped Math
Calculus AB/BC Unit 3 Review: Differentiation
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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Complex Analysis: Function
In this function learning exercise, students evaluate problems involving functions, identify the domain and range of functions, and complete inversion mapping. This two-page learning exercise contains approximately twelve problems.
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Composite Functions
Students create a poster to explain composite functions. In this composite function worksheet, students explore linear equations and functions. They complete a worksheet and use manipulatives to complete problems.
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The Functional Notation Problem
In this composite functions 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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Pedal Power
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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More Differentiation
In this differentiation worksheet, 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...
Alabama Learning Exchange
I'm Lovin' It: Finding Area Between Curves
Students explore the concept of finding the area between two curves. In this finding the area between two curves instructional activity, students model the logos of McDonalds, Nike, and Motorola on grid paper. Students find functions to...
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Calculus 30 - Typical Exam Questions
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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Finding the Limit of Composite functions
In this pre-calculus worksheet, 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.
Illustrative Mathematics
Flu on Campus
An outbreak of the swine flu on a school campus has caused an increase in the number of boxes of tissues sold by the school store. In a real-world-modeling activity, pupils use composition of functions to determine how the number of...
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Derivatives of Composite Functions
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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Functions
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...
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Algebra II - Lesson 9.4: Operations with Functions
In this composition functions worksheet, learners solve 1 short answer problem. Students find f(g(-3)) given the f(x) and g(x) functions.
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#3 Differential Calculus
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,...
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Perfect Shuffles
Students investigate piecewise functions. In this algebra lesson, students model piecewise functions in the real world. They graph the parts of the functions following the restrictions of the domain.
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Introduction to Substitution
in this math instructional activity, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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The Chain Rule and Applications
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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Solving Logarithmic Equations
High schoolers solve logarithmic equations. They graph and plot logarithmic functions and use algebraic steps and the calculator to simplify and solve the equations.
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Solving Exponential Equations
Solving exponential and logarithmic equations is taught in this interactive lesson. Students use properties of logarithm and exponents solve functions. They estimate the solution and use the Ti to find the exact solution.
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Minimize Perimeter
Learners practice calculating the perimeter of different sized rectangles. Individually, they identify the derivations of a function that can show the perimeter and determine how to minimize the perimeter within a fixed area. They use...
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Minimize Perimeter -- Lecture
Students are introduced to the concept of perimeter. As a class, they listen to a lecture describing the derivations of a function that describes perimeter. They calculate the minimum perimeter of a rectangle and determine the numbers...
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Blood Cell Basics
Students design a proportional model of blood out of red gelatin, a plastic bag, and rice. They study the components that make up blood and investigate what happens when the arteries in different scenerios. They work in pairs in order to...