Calculus Teacher Resources

Find Calculus educational ideas and activities

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Calculus can be project-based and inquiry-centered by using dynamic software.
Young scholars investigate calculus using the TI Calculator. In this calculus lesson, students deepen their understanding of calculus. This lesson includes step by step instruction for the TI.  
Students explore the Fundamental Theorem of Calculus. In the Calculus activity, students investigate indefinite and definite integrals and the relationship between the two, which leads to the discovery of the Fundamental Theorem of Calculus. 
Twelfth graders explore the TI-89 calculator.  In this Calculus activity, 12th graders investigate the Calculus Tools application available for the TI-89 graphing calculator. 
Twelfth graders investigate slope fields and Euler’s Method.  In this calculus lesson, 12th graders explore the steps for programming slope fields on the TI-83 and Euler’s method for achieving a numerical solution to differential equations.   
Are your calculus pupils aware that they are standing on the shoulders of giants? This lesson plan 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. 
This video covers the differential notation dy/dx and generalizes the rule for finding the derivative of any polynomial. It also extends the notion of the derivatives covered in the Khan Academy videos, �Calculus Derivatives 2� and �Calculus Derivatives 2.5 (HD).� Note: Additional practice using the power rule for differentiating polynomials (including some with negative exponents) is available to the listener.
Pupils read an article to explain the reasoning behind theorems. In this calculus instructional activity, students understand the underlying principles of theorems and how it helps them make sense of the problems. They know why they do what they do in AP Calculus.
Students develop an equation for finding the volume of a commonly known piece of candy (M&M, Hershey's Kiss, Tootsie Roll Pop, Life Saver, etc.) by using calculus.
Students use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
For 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. 
Young scholars read an article on how calculus is used in the real world. In this calculus lesson, students draw a correlation between the Battle of Trafalgar and calculus. The purpose of this article is the show everyday uses for calculus in the real world.
In this calculus learning exercise, students integrate various functions, find the sum of a series, and solve differential equations. There are 16 questions including multiple choice and free response.
Twelfth graders solve first order differential equations using the separation of variables technique. For this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.
Twelfth graders investigate the limitations of the Fundamental Theorem of Calculus.  In this calculus lesson, 12th graders explore when one can and cannot use the Fundamental Theorem of Calculus and explore the definition of an improper integral.    
Students explore the concept of area under a curve.  For this area under a curve lesson, 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.
Students are introduced to a scenario of a beach race in which the equation to be figured out is should the contestant aim to land on the beach to minimize their total time for the race. They solve this optimization problem involving different levels of calculus.
Twelfth graders explore functions defined by a definite integral.  For this Calculus lesson, 12th graders investigate accumulation functions in which a variable is a limit of integration.  The lesson is meant to be an introduction to the Fundamental Theorem of Calculus. 
Twelfth graders investigate slope fields.  In this Calculus 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 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.