College Board
2017 AP® Calculus BC Free-Response Questions
Pupils use the six released free-response questions from an AP Calculus BC exam to prepare for their own exam. The questions cover a range of topics from the BC curriculum, with half of the items coming strictly from AB material and the...
Curated OER
AP Calculus Practice Exam: BC Version - Part A
In this calculus activity, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
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Plate Tectonics
Students participate in a series of experiments to learn about plate tectonics and the different materials of the Earth. For this plate tectonics lesson plan, students use eggs, water, beakers, paper, and more materials to learn about...
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Intermediate Electromagnetism and Electromagnetic Induction
In this electrical circuit worksheet, students answer a series of 24 open-ended questions about electromagnetism and electromagnetic induction. This worksheet is printable and the answers are revealed online.
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Worksheet 12: Sequences
For this sequences worksheet, students determine whether sequences converge or diverge. They write their complex numbers in polar form and find solutions for given equations. This two-page worksheet contains twenty-five problems. It...
Columbus City Schools
Geological Effects of Plate Tectonics
Don't get your classes all shook up about plate movement, instead use a thorough unit that guides learners to an understanding of plate tectonics. The lessons incorporate a study of the types of plate boundaries and their effects on the...
College Board
2012 AP® Calculus BC Free-Response Questions
Get better prepared. Individuals use the six released AP® Calculus BC free-response questions to practice for the actual exam. The questions contain two calculator items and four non-calculator items. Topics include particle movement,...
College Board
2005 AP® Calculus BC Free-Response Questions Form B
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
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Worksheet 28
In this math worksheet, students determine the solutions of the functions using the Fourier series. They also use computer to create some graphs for functions.
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Worksheet 8 - Spring 1996
In this math worksheet, students sketch the graphs of the functions 1/x 2 and 1/(x2 − 1) over the interval [2, ∞). They rewrite the series using the Riemann sum.
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Worksheet 8
In this math instructional activity, learners consider the harmonic series. They assume that the sums move towards infinity and that they are divergent.
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Worksheet 7
In this math worksheet, students examine the values of the series and determine how they could be defined as divergent. They also evaluate the Squeeze Theorem.
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Worksheet 14 - Spring 1996
In this math learning exercise, students Find the interval of convergence of the power series. Special attention should be paid by checking the endpoints.
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Worksheet 30
In this math worksheet, students solve the differential equation by means of a power series about the point x0 = 2. Then they find the recurrence relation and the first four terms.
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The Mystery of the Disappearing Tracks
Fifth graders watch as the teacher projects a series of pictures on the wall showing bird tracks heading toward each other but not meeting, two tracks converging into one, and two tracks converging and then being scuffed up. They write...
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What Happens on Average
Fifth graders are introduced to convergence of sequences based on averaging previous terms in the sequence. The power of the "fill-down" function in spreadsheets is exploited. By using various starting numbers, and inferring the limit,...
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Sharkland Wiki
Young scholars, while researching the waters around southern Africa and viewing a video of the episode "Sharkland" from Thirteen's series NATURE, critique reliability of online resources and analyze the various components of a wiki. They...
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Review of Calculus BC II
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...
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Worksheet 13 - Derivative
In this derivative of a power worksheet, students compare derivatives of functions, and graph functions. This one-page worksheet contains five multi-step problems.
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Maximum and Minimum of Functions
In this calculus learning exercise, students are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.
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Derivatives
In this calculus worksheet, students solve functions by using the derivatives. The calculate the maximum and minimum of each function presented. There are 28 questions.
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Worksheet 11
In this math worksheet, middle schoolers define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.
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Worksheet 32
In this math worksheet, students give a physical interpretation for each of the boundary conditions for the functions. Then they apply the method of separation of variables to find the solutions to the wave equation
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Twenty-Eight Multiple Choice AP Calculus BC Exam Preparation Questions
In this AP Calculus review worksheet, students solve twenty-eight multiple choice questions in preparation for the AP Calculus BC exam.