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.
Students investigate calculus using the TI Calculator. In this calculus instructional activity, students deepen their understanding of calculus. This instructional activity includes step by step instruction for the TI.
Students explore the Fundamental Theorem of Calculus. In the Calculus lesson, students investigate indefinite and definite integrals and the relationship between the two, which leads to the discovery of the Fundamental Theorem of Calculus.
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 read an article to explain the reasoning behind theorems. In this calculus lesson, 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 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.
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.
Learners explore the concept of area under a curve. In this area under a curve lesson, students find integrals of various functions. Learners use their Ti-Nspire to graph functions and find the area under the curve using the fundamental theorem of calculus.
Twelfth graders explore functions defined by a definite integral. In 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 solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.
Learners analyze implicit differentiation using technology. In this calculus lesson, students solve functions dealing with implicit differentiation on the TI using specific keys. They explore the correct form to solve these equations.
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, ï¿½Calculus Derivatives 2ï¿½ and ï¿½Calculus Derivatives 2.5 (HD).ï¿½ Note: Additional practice using the power rule for differentiating polynomials (including some with negative exponents) is available to the listener.
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.
Students explore the concept of differential calculus. In this differential calculus instructional activity, 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.
Sal explores more complex limit problems including showing how to take the limit of an expression with a square root by using the conjugate and how to simplify trigonometric functions that are part of limit problems. Note: A mistake is made on the last step of the first problem where multiplication should have been used instead of addition, resulting in the correct answer of 3/16.
Pupils study calculus and kinematics by viewing videos. In this vectors lesson students complete several problem sets regarding velocity and acceleration after viewing a video.
Students calculate area under a curve using Riemann Sums. In this calculus lesson, students investigate the integral through estimation and calculation. They compare their approximate answer to their true answer.
Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned topics.
Students calculate the maxima and minima of quadratic equations. In this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.