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Durham Christian supports Advanced Placement courses in English and Calculus. For successful senior students, this gives them the ability to complete University credits now.

AP English Language and Composition

The AP English Language and Composition course enables students to analyze and evaluate complex texts and arguments and to create their own effective arguments. According to surveys of comparable curricula at four-year colleges and universities, it is equivalent to a two-semester introductory college course in rhetoric and composition.

At the conclusion of the course, students should be able to:
analyze and interpret samples of good writing, identifying and explaining an author’s use of rhetorical strategies and techniques
apply effective strategies and techniques in their own writing
create and sustain arguments based on readings, research and/or personal experience
write for a variety of purposes
produce expository, analytical and argumentative compositions that introduce a complex central idea and develop it with appropriate evidence drawn from primary and/or secondary sources, cogent explanations and clear transitions
demonstrate understanding and mastery of standard written English as well as stylistic maturity in their own writings
demonstrate understanding of the conventions of citing primary and secondary sources
move effectively through the stages of the writing process, with careful attention to inquiry and research, drafting, revising, editing and review
write thoughtfully about their own process of composition
revise a work to make it suitable for a different audience
analyze images as texts
Read the full course description and exam information with sample questions

AP Calculus AB

AP Calculus AB is a course in single-variable calculus that includes techniques and applications of the derivative, techniques and applications of the definite integral and the Fundamental Theorem of Calculus. According to surveys of comparable curricula at four-year colleges and universities, it is equivalent to at least a semester of calculus at most colleges and universities, perhaps to a year of calculus at some. Algebraic, numerical and graphical representations are emphasized throughout the course. AP Calculus BC is an extension of AP Calculus AB rather than an enhancement; common topics require a similar depth of understanding.

At the conclusion of both courses, students should have the ability to:

  • Work with functions represented in a variety of ways — graphical, numerical, analytical or verbal — and understand the connections among these representations.
  • Understand the meaning of the derivative in terms of a rate of change and local linear approximation and use derivatives to solve a variety of problems.
  • Understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change and use integrals to solve a variety of problems.
  • Understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus.
  • Communicate mathematics and explain solutions to problems both verbally and in written sentences.
  • Model a written description of a physical situation with a function, a differential equation or an integral.
  • Use technology to help solve problems, experiment, interpret results and support conclusions.
  • Determine the reasonableness of solutions, including sign, size, relative accuracy and units of measurement.
  • Appreciate calculus as a coherent body of knowledge and as a human accomplishment.

Topics covered on the exam include:

  • Functions, Graphs and Limits
  • Analysis of graphs
  • Limits of functions (including one-sided limits)
  • Asymptotic and unbounded behavior
  • Continuity as a property of functions
  • Derivatives
  • Concept of the derivative
  • Derivative at a point
  • Derivative as a function
  • Second derivatives
  • Applications of derivatives
  • Computation of derivatives
  • Integrals
  • Interpretations and properties of definite integrals
  • Applications of integrals
  • Fundamental Theorem of Calculus
  • Techniques of antidifferentiation
  • Applications of antidifferentiation
  • Numerical approximations to definite integrals

Read the full course description and exam information with sample questions 

 

 

 

 

 

 

 

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