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Review for Test

For Teachers 12th
Twelfth graders review logs and derivatives in preparation for their test. For this calculus lesson, 12th graders review inverse functions, log functions, derivatives of implicity and the three definitions of e. They prove derivatives...
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Engineering in a Calculus Classroom

For Teachers 11th - 12th
Young scholars solve several differential equations. In this calculus lesson plan, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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The Hyperbolic Sine and Cosine

For Students 11th - 12th
In this sine and cosine worksheet, students find derivatives and integrals of 6 functions.  Students find derivatives, indefinite integrals and the area between two curves.
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Bridges

For Teachers 9th
Ninth graders use model-building to help comprehend the forces and phenomena at work in the world around them. They describe gravity as a universal force that pulls everything toward the center of the earth. Students distinguish between...
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Sodoku

For Students 11th - 12th
In this calculus worksheet, student solve problems by taking the derivative of the function as x approaches a specific limit. They evaluate trig functions using the properties of trig. There are 26 questions with an answer key.
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The Fundamental Theorem

For Students 11th - 12th
In this calculus worksheet, students solve equations and functions by taking the derivative of each equation. They apply the Fundamental Theorem of Calculus to their problems, as they solve for the limit and identify different graphs....
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AP Calculus

For Students 11th - 12th
In this calculus worksheet, students solve problems with trigonometric functions. They take the derivative and find the average rate of change.
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Ap Calculus First Semester Exam

For Students 12th
In this algebra worksheet, 12th graders assess their knowledge on logs, functions and derivatives. There are 40 questions on this exam.
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I Have Who Has Cards - Integration Formulas

For Students 11th - 12th
In this calculus worksheet, students rewrite a word problem using algebraic symbols and calculate the derivative of a function to find the correct solution. There are 20 matching questions with an answer key.
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Why Plus C is important.

For Students 10th - 12th
In this calculus instructional activity, students solve proofs by taking the derivative and integrating functions. There are 8 problems about integration and an answer key.
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A Functional Housing Market

For Teachers 7th - 9th
Students access the Internet to search for housing prices in Houston, Texas,(the location can be changed to accommodate any location) and compare the prices to the number of square feet found in the living area of a house.
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Absolute Maximum and Minimum

For Teachers 9th - 11th
Students calculate the maximum and minimum of each function. In this algebra lesson, students collect and graph data to analyze it. They differentiate between the absolute max and min and the maxima and minima of each function.
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Complex Analysis: Analyticity and the Cauchy-Riemann Equation

For Students Higher Ed
In this analyticity and Cauchy-Riemann worksheet, students determine the domain of a function, explore its derivatives, and list its component functions. This two-page worksheet contains eleven problems, as well as explanations and...
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Complex Analysis: Cauchy's Integral Formula and Integral Examples

For Students Higher Ed
In this integral formula worksheet, students examine Cauchy's formula and higher derivatives of analytic functions. They use this provided information to solve eight problems.
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Arithmetic Complex Numbers

For Teachers 10th - 11th
Young scholars convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor...
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The Product and Quotient Rules

For Students Higher Ed
In this product and quotient rules worksheet, students use Taylor's Theorem to rewrite functions in a given form. They determine the derivatives of functions. This three-page worksheet contains explanations, examples, and seven problems.
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Logarithms: Test Sections 4.1 - 4.3 A.P. Calculus

For Students 10th - 12th
For this logarithms worksheet, students evaluate and solve equations with logarithms.  They derive the formula for a derivative of a given function.  Students explain the differences between logarithms.  This one-page...
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AP Calculus Practice Exam

For Students 11th - 12th
In this Calculus activity, students are provided with questions that are reflective of the content of their exam.  Topics covered include derivatives, volume of a solid of rotation, local maximum and minimum, and integration. ...
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Linear Approximation

For Teachers 9th - 12th Standards
Pupils practice examining the tangent to a function to estimate the value of the function near the point of tangency. They view errors associated with those approximations, determine overestimates and find intervals that guarantee a...
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Velocity, Position, Distance

For Teachers 9th - 10th
Students solve problems involving motion and distance. In this calculus instructional activity, students use to derivative to calculate the velocity-of a function. They observe objects moving along a straight line.
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Kepler's 3rd Law

For Teachers 9th - 12th
Students derive the velocity in a circular orbit of any radius. They derive the Earth escape velocity and prove Kepler's 3rd law for circular orbits # A simple formula for the orbital period in a circular Earth orbit of given radius.
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Numerical Analysis: Polynomials

For Students Higher Ed
In this polynomial instructional activity, students explore functions, determine the least square error, and explore quadratic spline interpolation. This two-page instructional activity contains approximately six problems.
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Basic Calculus: Extrema, and Optimization: Putting it all Together

For Students Higher Ed
In this extrema and optimization worksheet, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page worksheet contains two...
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What is an Antiderivative? Slope Fields

For Teachers 10th - 12th
Students take the derivative of a function. In this calculus lesson, students define slope fields and what they are used for. They relate slope fields to the real world.