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Calculus Teacher Resources
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What does Usain Bolt and calculus have in common? Using Usain Bolt as an example of distance traveled over a period of time, Sal shows why you need differential calculus to answer the question of how fast something is traveling at a specific instance in time. He also touches on a bit of the history of calculus. This video would make a good introduction to a calculus class or as a start to a larger discussion about the uses of calculus today.
Students differentiate the volume of a box to find dimensions that yield the largest volume. In this differentiating the volume of a box to find dthe dimensions that yield the largest volume lesson plan, students make a model of the box they will be differentiating. Students design a box for a doughnut company that has the largest volume given a set size of cardboard. Students use their Ti-89 to differentiate the volume of their box.
It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing conclusions about the behavior of the function.It is a great lesson that foreshadows concepts of rate of change and tangent lines to a specific point on a curve that will be explored in future years.
In this calculus instructional activity, students are provided with a translation of a scene from the Simpsons in which the teacher solves a calculus problem. Students explain if her solution is correct. The one page instructional activity contains two questions. Answers are not included.
In this Calculus activity, 12th graders are provided with practice problems for their exam. Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution. The four page document contains seventeen multiple choice questions. Answers are not included.
Students construct the graph of derivatives using a tangent line. In this construction of a graph of a derivative lesson plan, students use their Ti-Nspire to drag a tangent line along a graph. Students graph the slope of the tangent line. Students discuss the similarities and differences between the original graph and its derivative.