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AP Precalculus

AP Precalculus covers a range of topics that serve as a foundation for calculus and other advanced math concepts. Some common topics covered in an AP Precalculus course include:

  1. Functions and their properties: Students learn about various types of functions, such as linear, quadratic, polynomial, exponential, logarithmic, and trigonometric functions. They study their properties, graphs, and algebraic manipulations.

  2. Trigonometry: Trigonometric functions, including sine, cosine, and tangent, are introduced and explored in depth. Students learn about trigonometric identities, solving trigonometric equations, and applying trigonometry to solve problems involving angles and triangles.

  3. Analytic Geometry: Students study topics related to coordinate geometry, including the equations of lines, conic sections (such as circles, ellipses, parabolas, and hyperbolas), and transformations of graphs.

  4. Exponential and Logarithmic Functions: Students explore exponential and logarithmic functions, including their properties, equations, and applications. They learn to solve exponential and logarithmic equations and understand their relationship to each other.

  5. Sequences and Series: Students examine arithmetic and geometric sequences and series, learning about their formulas, sums, and applications.

  6. Complex Numbers: The properties and operations of complex numbers are introduced, including adding, subtracting, multiplying, dividing, and representing complex numbers on the complex plane.

AP Precalculus serves as a bridge between algebra 2 and AP calculus, providing students with the necessary skills and knowledge to succeed in calculus courses. It helps students develop a solid understanding of mathematical concepts and problem-solving techniques. Successfully completing a AP Precalculus course can prepare students for advanced math courses such as AP Calculus.

AP Precalculus (M8) Syllabus

  1. Polynomial and Rational Functions

  2. Exponential and Logarithmic Functions 

  3. Trigonometric and Polar Functions

  4. Vectors and Matrices

  5. Sequences and Series

*Minimum enrollment of 10 students is required to start a particular course.

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