Calculus Teacher Resources
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In this A.P. Calculus pre-requisites worksheet, students solve ten multiple-choice and ten free-response questions. Many of these questions cover trigonometric functions.
In this calculus worksheet, students review important rules of derivatives and integrations. They graph their functions using symmetry and coordinate pairs. There are 20 questions.
In this calculus worksheet, 12th graders answer questions about functions and trigonometric functions. There are 21 questions on this worksheet.
In this A. P. Calculus AB learning exercise, students solve seventeen multiple-choice problems with a graphing calculator. This learning exercise is designed as a practice test for the A.P. Exam and should be timed.
In this Calculus activity, students are provided with questions that are reflective of the content of their exam. Topics covered include derivatives, volume of a solid of rotation, local maximum and minimum, and integration. The one page activity contains seventeen multiple choice questions. Answers are not provided.
For this AP Calculus BC practice exam, learners solve twenty-eight multiple choice problems without the use of a calculator. This worksheet should be completed in fifty-five minutes.
In this AP Calculus BC learning exercise, students answer seventeen multiple choice questions with the use of a calculator. The questions are a fifty minutes times practice test for the AP exam.
In this AP Calculus Practice Exam worksheet, students solve seventeen multiple-choice questions using a graphing calculator. This BC practice test is designed to be finished in fifty minutes.
In this AP Calculus practice test activity, students prepare for the BC version on the test by solving seventeen multiple-choice questions using a calculator. The test should be timed and 50 minutes in length.
In this A.P. Calculus BC worksheet. students solve six practice problems. A graphing calculator is required on the first three questions and not allowed on the next three. Directions are provided.
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 first problem where multiplication should have been used instead of addition, resulting in the correct answer of 3/16.
By using the Epsilon Delta definition of limits, Sal shows listeners how to prove an example limit problem. Specifically, given any epsilon distance away from L, the limit of f(x), he finds a delta that is within delta of the x value where then f(x) is within epsilon of the limit L.
In the first example, instead of actually using the quotient rule, Sal rewrites the denominator as a negative exponent and uses the product rule. In subsequent examples, Sal shows, but does not prove, the derivative of several interesting functions including ex, ln x, sin x, cos x, and tan x.
Sal spends most this video explaining what the Mean Value Theorem says in a very intuitive way. He follows this with a concrete example of finding the value of a function on a closed interval where the slope is the same as the average slope of the function over that interval. Here, Sal also uses and informally defines the terms: continuous function, differential, and closed and open interval.
Students solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
In this calculus learning exercise, 12th graders solve problems that cover a variety of topics, including limits, derivatives, integrals, and problem solving. The one page interactive learning exercise contains forty-eight questions and is self checking.
In this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series. The one page interactive worksheet contains fifty-two problems. Answers are not provided.
Young scholars calculate a problem involving distance and inverse trigonometric functions. Given a situation involving an a painting at an art gallery, students calculate the distance a student would need to stand in order to gain the best view of a painting.
Students investigate the volume of a solid. In this calculus lesson plan, students use integration to find the volume of a solid generated by a region, the Orion crew module.
Students plot slope fields. In this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.