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Twenty-Eight Multiple Choice AP Calculus BC Exam Preparation Questions

For Students 11th - Higher Ed
In this AP Calculus review learning exercise, students solve twenty-eight multiple choice questions in preparation for the AP Calculus BC exam.
Worksheet
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Derivatives of Composite Functions

For Students 11th - Higher Ed
For 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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Multivariable Calculus: Quiz 6

For Students Higher Ed
In this multivariable chain rule activity, students find the derivative of four multivariable functions. They make the change of variables when given the functions.
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Hyperbolic Functions

For Students 11th - 12th
Students evaluate6 functions. They prove three identities and solve four differential problems. THere are 13 problems total.
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Infestation to Extermination

For Teachers 9th - 12th Standards
Students solve problems with exponential growth and decay. In this calculus instructional activity, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
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Differentiation Computations

For Students 11th
In this calculus worksheet, 11th graders solve problems using differential equations and computations. They apply properties of trig functions and simplify their answers. There are 9 questions.
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Reductions of Order

For Students 11th - 12th
In this calculus worksheet, students identify functions as linear or nonlinear, homogeneous versus nonhomogeneous by using the reduction power theorem. There are 5 questions.
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Applications of Derivatives: Finding Maxima and Minima

For Students 12th - Higher Ed
In this calculus instructional activity, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
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Domain and Range

For Students 12th - Higher Ed
In this domain and range worksheet, students solve and complete 5 different sets of problems. First, they find the domain and range of each of the given functions. Then, students determine whether each of the functions is odd, even or...
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Properties of Logarithms

For Teachers 9th - 12th
Students explore the concept of logarithms.  In this logarithms instructional activity, students discuss the logarithm properties.  Students use linear functions as a basis to develop the logarithm properites by substituting...
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Easy Worksheet: Limits 2

For Students 11th - 12th
For this limits worksheet, learners solve 4 short answer problems. Students identify the limit of a function for a specified value given a graph, equation, or piecewise function.
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The Chain Rule

For Students 12th - Higher Ed
In this calculus worksheet, learners are given 21 short-answer problems regarding the "chain rule", derivatives, rate of change and completing tables.
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Inverse Trigonometric Functions (Review)

For Teachers 9th - 12th
Students investigate the concepts related to inverse trigonometric functions and then review the graphs for the inverse. They apply the functions using the context of the example problems provided in the lesson. The lesson includes...
Lesson Plan
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Lesson #15 Continuity

For Teachers 11th - 12th
Students explore the definition of continuity, graph problems, and discover how this relates to problems. They identify a function, the point of continuity or the point of discontinuity, Students examine graphs to determine if they are...
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Limits Of Trigonometric Functions

For Teachers 11th - Higher Ed
Learners engage in a instructional activity that is about computing the limits of trigonometric functions. They practice computing the functions of sin, cos, and sin to find the missing values related to triangles. Students also...
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Calculus Test

For Students 11th - Higher Ed
In this calculus activity, students integrate various functions, find the sum of a series, and solve differential equations. There are 16 questions including multiple choice and free response.
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Test on Limits and Continuity

For Teachers 11th - 12th
Students review concepts of logarithms for their test. In this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse logs.    
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Multivariable Calculus: Extrema of Multivariable Functions

For Students Higher Ed
In this multivariable function activity, students determine the extrema of multivariable functions, classify critical points, and solve functions with given boundaries. This two page activity contains five multi-step problems as well as...
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Multivariable Calculus: Extrema of Multivariable Functions

For Students Higher Ed
In this multivariable functions worksheet, students find the extrema of a function under given conditions. They find the maximum and minimum values of functions. This two page worksheet contains examples, explanations, and five problems.
Activity
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Lake Pollution

For Students 11th - Higher Ed
Explain the timing of a lake cleanup to the EPA using calculus. A project-based learning opportunity has learners compare rate functions to compute a total change. Their solutions explain the time needed to rid a lake of pollutants.
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Multivariable Calculus: Vector Functions

For Students 12th
In this vector function worksheet, 12th graders identify a helix and a smooth curve. They find the equation of the tangent line to a helical curve. This two-page worksheet contains examples, explanations and approximately four problems.
Interactive
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The Logarithm Function, Part II

For Students 11th - 12th
In this Calculus lesson, students determine the domain and find the derivative of logarithm functions.  This one page interactive learning exercise contains seven problems.  Answers and solutions are provided. 
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Multivariable Calculus: Introduction to Path Integrals

For Students Higher Ed
In this path integral instructional activity, students compute line integrals under given conditions, define vector fields, and explore gradient fields, as well as a potential function. This two-page instructional activity contains five...
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Limits of Trigonometric Functions

For Teachers 11th - 12th
Students define limits as it related to trig functions. In this trigonometry lesson, students take the derivatives of trig through specific patterns. They apply the formula for these special functions of sine, cos and tan in real world...

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