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  1. Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info.collegeboard.org.

    • The Development Committee Perspective
    • Showing Work on The Free-Response Sections of The Exams
    • Exploration Versus Mathematical Solution
    • Graphing Calculator Capabilities For The Exams

    The AP Calculus Development Committee considers two main concerns when deciding what level of technology should be required for the exams: equity issues and teacher development. The committee can develop exams that are appropriate for any given level of technology, but it cannot develop exams that are fair to all students if the spread in the capab...

    Students must show all of their work. They may also be asked to use complete sentences to explain their methods or the reasonableness of their answers, or to interpret their results. For results obtained using one of the four required calculator capabilities listed below, students are required to write the setup (e.g., the equation being solved, or...

    A graphing calculator is a powerful tool for exploration, but students should know that exploration is not a mathematical solution. Exploration with a graphing calculator can lead a student toward an analytical solution, and after a solution is found, a graphing calculator can often be used to check the reasonableness of the solution. Note: As on p...

    A graphing calculator appropriate for use on the exams is expected to have the built-in capability to: 1. plot the graph of a function within an arbitrary viewing window 2. find the zeros of functions (solve equations numerically) 3. numerically calculate the derivative of a function 4. numerically calculate the value of a definite integral One or ...

  2. Isometric (Triangle Grid) Paper. In this kind of graph paper, instead of squares, the grid is made up out of equilateral triangles. Use it to create 3-dimensional drawings for designs like woodworking plans, interior space planning, or graphing on an XYZ-axis. Draw your vertical lines normally, and then draw any horizontal lines using the sides ...

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  3. About the Exam. The AP Calculus AB Exam will test your understanding of the mathematical concepts covered in the course units, as well as your ability to determine the proper formulas and procedures to use to solve problems and communicate your work with the correct notations. A graphing calculator is permitted for parts of the exam.

  4. Aug 26, 2024 · Discover how graph paper can revolutionize your approach to math problems, from graphing linear equations and quadratic equations to creating scatter plots and solving complex calculations. Learn how to choose the right graph paper grid size, use graph paper effectively, and boost your productivity and creativity in math.

  5. Jan 30, 2017 · We will review the main topics that you’ll need to know for the AP Calculus exams. Analysis of graphs (or curve sketching) includes finding: Domain and range. Intercepts. Asymptotes. Relative extrema and intervals of increase and decrease. Points of inflection and intervals of concavity.

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  7. Introduction. These sample exam questions were originally included in the AP Calculus AB and AP Calculus BC Curriculum Framework, published in fall 2014. The AP Calculus AB and AP Calculus BC Course and Exam Description, which is out now, includes that curriculum framework, along with a new, unique set of exam questions.

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