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Derivatives of the Trig Functions
Twelfth graders analyze the derivatives and use trig functions to practice using the derivative. In this calculus lesson, 12th graders derive the 6 trigonometric functions using the derivative and their properties. They complete practice...
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Mini Exam on Calculus
In this calculus worksheet, students differentiate equations and calculate rate of change. They find the area and volume under a curve. There are 18 questions on this test.
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AP Calculus
In this calculus instructional activity, students solve problems with trigonometric functions. They take the derivative and find the average rate of change.
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I Have Who Has Cards - Integration Formulas
In this calculus worksheet, students rewrite a word problem using algebraic symbols and calculate the derivative of a function to find the correct solution. There are 20 matching questions with an answer key.
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Ap Calculus First Semester Exam
In this algebra activity, 12th graders assess their knowledge on logs, functions and derivatives. There are 40 questions on this exam.
College Board
Try This! Calculus Teaching Tips
It's important to spice up your lessons. An online article discusses teaching strategies for AP® Calculus. In-class activities include matching games, placemats, multiple choice questions, scripted discussion, involuntary discussion,...
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Derivatives Of The 6 Inverse Trig Functions
Students investigate the derivatives of the Six Inverse Trigonometric Functions. They apply the six formulas to inverse function problems that are given in the lesson. Students can take part in using the example problems for independent...
West Contra Costa Unified School District
Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson plan introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to...
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Review for Test
Twelfth graders review logs and derivatives in preparation for their test. In this calculus lesson, 12th graders review inverse functions, log functions, derivatives of implicity and the three definitions of e. They prove derivatives...
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The Calculus Whiz Who Loved Candy
Learners 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.
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Lesson #51 Derivatives of Logarithms
Twelfth graders investigate derivatives of logarithms. In this calculus activity, 12th graders explore the procedure for taking the derivative of logarithms to any base.
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Rules For Differentiation
High schoolers investigate the concepts related to derivatives tat include the Power Rule and then apply the appropriate derivative formula to solve the different problems. They practice reading the rules of derivatives included in the...
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Derivatives of Exponential Functions
Students listen as the teacher develops the derivative formula for if y=e^x, They find dy/dx by showing two proofs. Students determine the derivative of y=e^tan3x, and if y=e^2x they determine the hundredth derivative. Students listen as...
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Multivariable Calculus: Application of Partial Derivatives
In this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations, examples,...
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Double-Angle and Half-Angle Formulas
In this college level Pre-Calculus worksheet, students use the double-angle and half-angle formulas to evaluate trigonometric expressions and solve trigonometric equations. The six page worksheet contains fifty-six problems. Answers are...
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Formulas for Derivatives (Using squiggles and boxes)
In this Calculus worksheet, students complete the formulas for derivatives by replacing the empty boxes and squiggles with the appropriate term. The one page worksheet contains twenty-two problems. Answers are not provided.
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Worksheet #3, Derivative Rates, Percent Rate of Change, Chain Rule
In this calculus worksheet, students answer compute the distance of an object from a given point after t seconds when given the formula. They use the chain rule to answer 2 questions. Students compute the derivatives and sketch a graph...
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The Method of U-Substitution
In this calculus learning exercise, students solve problems using U-Substitution. They find antiderivatives using indefinite integrals. There are 18 questions with an answer key.
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The Limit Definition of a Definite Integral
For this calculus worksheet, students calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
West Contra Costa Unified School District
Interest and the Number e
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would...
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The Calculus Whiz Who Owned a Box Company
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.
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Rules for Differentiation
Twelfth graders review the rules for derivatives and use them to solve problems. In this calculus lesson, 12th graders apply the power rules for derivatives correctly to solve equations. This assignment contains lots of examples of...
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Differentials
Young scholars investigate Differential equations using derivatives. In this calculus lesson, students solve problems of differential equations by taking the derivative and explaining the changes that occurred in the equation. They...
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Logarithms: Test Sections 4.1 - 4.3 A.P. Calculus
For this logarithms worksheet, students evaluate and solve equations with logarithms. They derive the formula for a derivative of a given function. Students explain the differences between logarithms. This one-page...