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Study Guide for the Advanced Placement Calculus AB Examination
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,...
Virginia Department of Education
Middle School Mathematics Vocabulary Word Wall Cards
Having a good working knowledge of math vocabulary is so important for learners as they progress through different levels of mathematical learning. Here is 125 pages worth of wonderfully constructed vocabulary and concept review cards....
Illustrative Mathematics
Temperature Conversions
Complete two conversions at once using compositions. Pupils use the conversion formulas for temperatures to calculate a formula to convert directly between Kelvin and Fahrenheit. Classmates determine the meanings of composition notation...
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Compound Functions
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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Properties of Trigonometric Functions
In this properties of trigonometric functions worksheet, students complete 4 sections consisting of 15 problems involving problem solving using Pythagorean and trigonometric identities and sketching functions..
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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.
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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Functional Analysis
Students perform functional analysis. In 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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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 end-behavior...
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Algebra II - Lesson 9.4: Operations with Functions
In this composition functions worksheet, students 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, create...
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Introduction to Substitution
in this math worksheet, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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Finding the Limit of Composite functions
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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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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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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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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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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Computer Graphing Calculator Explorations
Students explore the graphing calculator feature on the Macintosh computer to explore some "parent" functions and their translations, combinations, and composites.
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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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Minimize Perimeter
Students 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
Pupils 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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Integration By Substitution
Young scholars calculate the solution using integrals in this calculus lesson. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.