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The Inverse Trigonometric Functions
In this Calculus learning exercise, 12th graders determine the derivative of inverse trigonometric functions and determine integrals. The one page learning exercise contains seven problems. Answers and solutions are...
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Maximum and Minimum of Functions
In this calculus worksheet, students are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.
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The Second Fundamental Theorem of Calculus
Students investigate the fundamental theorem of calculus. In this calculus instructional activity, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
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Infestation to Extermination
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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Parametric Races & Slopes
Learners investigate the slopes and parametric equations. In this calculus lesson plan, students solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
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Area Under A Curve
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and...
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The "Heart" of the Problem
Learners create an exercise and nutrition program. In this interdisciplinary instructional activity, students use calculations of exercises plus their corresponding effects on the body and nutritional values of food to derive a health...
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Gauss' Law
Learners derive the equation of Gauss's law. In this physics lesson plan, students investigate the factors affecting the strength of the electric field. They perform simulation on Gauss's law.
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Volume of Spheres
Students find the volume of spheres. In this geometry lesson plan, students measure and derive the formula for each shape and solid. They use the correct terminology and units when solving these problems.
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Watch the Screen!
Can a sponge cure cancer? Life science pupils visit the drugstore under the sea in the fifth instructional activity of six. Working groups research the topic then get hands-on experience by testing the inhibiting effects of several...
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Animal Life Histories Derived From Morphology
Students learn the mechanisms of natural selection by deducing information from the physical appearance of the animal.
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The Derivation of (Pi)
Seventh graders groups measure the diameter and circumference of each of the circular objects in the room. They record their results on their student worksheets and access a computer spreadsheet program to compile their results.
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Related Rates
Students discuss ways solve related rate problems. They work a problem involving an off-shore tanker which is leaking oil. Students listen as the teacher introduces a strategy for solving related rates problems. Students practice by...
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Rates Problems
Students engage in a lesson that is about the concept of using rates in the context of finding the solution using different types of problems provided in the lesson plan. The lesson includes a review of the strategy to solve problems...
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Review For Test On Chapter 5
Young scholars engage in a study of various concepts in relation to preparing for a calculus exam. They sketch and discuss and sketch a variety of functions. The activity includes an outline of review that should be used by the teacher...
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Quotient Rule
Young scholars differentiate functions. In this differentiating functions lesson, students use the quotient rule to differentiate functions. Young scholars use the quotient rule to differentiate rational functions such as a...
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The Benthic Drugstore
Students identify at least three pharmacologically- active chemicals derived from marine invertebrates. They describe the disease-fighting action of at least three pharmacologically-active chemicals derived from marine invertebrates.
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Kepler's 3rd Law
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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Basic Calculus: Extrema, and Optimization: Putting it all Together
In this extrema and optimization activity, 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 activity contains two...
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Complex Analysis: Cauchy's Integral Formula and Integral Examples
For 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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Complex Analysis: Analyticity and the Cauchy-Riemann Equation
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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The Product and Quotient Rules
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 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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