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Calculus Teacher Resources
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Students practice sample questions from the AP Calculus Exam. In this practicing sample questions from the AP Calculus Exam lesson plan, students solve calculus problems involving bounded regions, integration, derivatives, and limits. Students answer free response and multiple choice questions on the above mentioned topics.
In this calculus worksheet, students solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then, students differentiate both sides with respect to x,using the chain rule on the left side and the product rule on the right. In addition, they multiply both sides by y and substitute.
Are your calculus pupils aware that they are standing on the shoulders of giants? This lesson provides a big picture view of the connection between differential and integral calculus and throws in a bit of history, as well. Note: The calculus controversy paper is not included but one can find a number of good resources on the Internet regarding the development of calculus and the role of Newton and Leibnez.
Students explore the concept of differential calculus. In this differential calculus lesson, students use the derivative definition as h approaches zero to find the derivative of quadratic and 4th degree functions. Students use their Ti-89 to find the gradient of the secant and tangent.
Students explore the concept of area under a curve. In this area under a curve instructional activity, students find integrals of various functions. Students use their Ti-Nspire to graph functions and find the area under the curve using the fundamental theorem of calculus.