Honors Pre-Calculus / Calculus A

  • Students will complete the course material as described in the second semester of the PreCalculus course.  The honors course assumes a higher level of mastery on Algebra II concepts; therefore, moves at a faster pace with minimal review.  During the second semester of this course, the Calculus A portion, the topics include limits, continuity, and differentiation techniques of both algebraic and transcendental functions, curve sketching, and the relationships among position, velocity, and acceleration. Antidifferentiation and the Fundamental Theorem of Calculus are introduced.

    Students will develop a strong grasp of the Mathematical Practices:
    1. Make sense of problems and persevere in solving them.
    2. Reason abstractly and quantitatively.
    3. Construct viable arguments and critique the reasoning of others.
    4. Model with mathematics.
    5. Use appropriate tools strategically.
    6. Attend to precision.
    7. Look for and make use of structure.
    8. Look for and express regularity in repeated reasoning.

    The Standards for Mathematical Practice complement the content standards so that students increasingly engage with the subject matter as they grow in mathematical maturity and expertise throughout the high school years.

    Units of Study

    Semester 1:

    Unit #1 = Trigonometric Functions
    Unit #2 = Trigonometric Identities
    Unit #3 = Conic Sections and Polar Functions
    Unit # 4 = Parametrics and Vectors
    Unit #5 = Matrices

    Semester 2:

    Unit #6 = Limits and Continuity
    Unit #7 = Derivatives (part I)
    Unit #8 = Derivatives (part Ii)
    Unit #9 = Integrals