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Worksheet 14 Spring 1996
In this math worksheet, students answer the questions in the context of either being true or false. The topics covered include derivatives and differential equations.
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The Method of Separation of Variables
In this math worksheet, students read the examples of the initial value problems. Then they write all the possible solutions for the differential equation.
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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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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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Logarithmic Differentiation
Young scholars analyze the steps required to take the derivative of an equation. In this calculus lesson, students take the derivative of logs using the same method for regular equations. They review derivatives of sine, cosine and...
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#3 Differential Calculus
Students create models of the Mean Value Theorem. In this Mean Value lesson, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem. They illustrate the meaning of the throrem,...
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Worksheet 11 - Fall 95
In this calculus worksheet, students solve differentiable functions, determine the inverse of a function and identify the derivative. This one-page worksheet contains seven multi-step problems.
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Calculus AB/BC - Selecting Procedures for Derivatives
Don't get lost trying to memorize all those derivative rules. Scholars review the different methods at their disposal to determine derivatives from Units 2 and 3. They fill out a graphic organizer and then complete a set of practice...
College Board
2008 AP® Calculus AB Free-Response Questions
Get the most out of released items. Teachers use the included materials to learn about test-takers' performance on released free-response questions. Pupils respond to the questions and compare their responses to sample scored responses...
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Calculus AB/BC - Straight-Line Motion: Connecting Position, Velocity, and Acceleration
Move the video on motion to the front of the line. The second of eight lessons in Unit 4 - Contextual Applications looks at straight-line motion. Scholars learn how position, velocity, and acceleration are related by derivatives before...
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Calculus AB/BC - Approximating a Function's Value Using Local Linearity
No need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...
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Calculus AB/BC - L'Hopital's Rule
Direct substitution fails. Now what? The seventh of eight videos in Unit 4 - Contextual Applications looks at L'Hopital's rule. Scholars learn to take the derivative of both the numerator and denominator of a function when substitution...
College Board
2005 AP® Calculus AB Free-Response Questions
Develop an awareness of the exam. Pupils and teachers use the six release free-response questions to see how the exam covers topics. The questions are divided among calculator and non-calculator items. Scholars see the importance of...
College Board
2006 AP® Calculus BC Free-Response Questions
Move along with the review. Teachers and scholars use the six released free-response questions to review for their upcoming AP® exam. Questions from the 2006 exam contain problems dealing with cars, objects moving along a curve, and...
College Board
2008 AP® Calculus BC Free-Response Questions
The AP® exam is not just about the calculations. By reviewing the free-response questions from 2008, teachers and pupils see that several items require justifications and explanations to gain full credit. The chief reader even points out...
College Board
2001 AP® Calculus BC Free-Response Questions
Take an abbreviated look at the exam. Class members review released items to prepare for the BC exam. The released questions are the six free-response questions from the 2001 exam. Three of the items have context, while the other three...
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Calculus at the Battle of Trafalgar
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...
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Differentiation of Functions
In this differentiation instructional activity, students use differentiation rules to solve given functions. This four-page instructional activity contains 8 problems.
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Derivative Grapher
Learners graph the derivative of functions in this calculus lesson plan. They use the TI to graph their functions and algebraically take the derivative of each function. They then create a visual and analyze the graph.
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Differentiation of Inverse Functions
In this calculus worksheet, students solve three problems regarding the differentiation of inverse functions. Students are also asked to show that a function is one to one and to evaluate functions at a given value.
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Sixteen Multiple Choice AP Calculus BC Exam Preparation Questions
In this review for Calculus BC exam worksheet, students solve sixteen various multiple choice problems. These problems are designed as review and preparation for the AP Calculus Exam.
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Sixteen Multiple Choice AP Calculus AB Exam Practice Questions
For this AP Calculus AB Exam worksheet, students answer sixteen multiple choice questions in preparation for the AP Exam. These questions include many topics covered on the exam.
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Population: Logistically Speaking
In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...
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Related Rates Problems: An Application of Implicit Differentiation and the Chain Rule
In this related rates problem worksheet, students use the chain rule and implicit differentiation to solve related rate problems, such an writing an expression relating to the ripple of a circle. This three-page worksheet contains...