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Calculus Teacher Resources
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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 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.
Twelfth graders investigate slope fields. In this Calculus instructional activity, 12th graders identify whether a slope field appropriately reflects a differential equation by matching. TI-83 Plus/TI-84 Plus and appropriate programs are required to complete the instructional activity.
Students compute the longest piece of furniture that can be taken around a corner. In this application of calculus problem, students use their TI-84 calculator to compute the size of the largest piece of furniture that can be taken around two corners. They first ignore all measurements except length, then compute allowing for depth of an object. There are ten exercises with varying degrees of directions that lead the student through the process.
In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts. The twenty-two page worksheet contains explanation of the topic, numerous worked examples, and sixteen multi-part practice problems. Answers are not provided.
Twelfth graders investigate the capabilities of the TI-89. In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic and graphical representation of vectors. Students use polar functions of investigate the area bounded by a curve. Students investigate a 3D graphing application.
Students explore the area under a curve. In this calculus lesson plan, students investigate Riemann sums as they employ technology to discover that if enough Riemann sums are used. Students then determine whether the area under a curve can be calculated with the required degree of precision. TI-nspire and appropriate applications are required.