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Precalculus Course

PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

For the 2023-24 school year only, there is no formal course audit required to teach this course. You should still submit a course audit on the College Board site, but it is a streamlined process for this year.

Units (select a unit)

  • Review of Fundamentals
    Topics include:
    Real Numbers
    Exponents & Radicals
    Algebraic & Rational Expressions
    Equations & Modeling
    Inequalities
    Coordinate Geometry
    Lines
    Solving Eq & Ineq Graphically
    Making Models Using Variation
  • Functions
    Topics include:
    - What is a Function
    - Graphs of Functions
    - Getting Info from the Graph of a Function
    - Average Rate of Change
    - Transformations of Functions
    - Combining Functions
  • Polynomial and Rational Functions
    Topics include:
    - Graphs of Polynomial Functions
    - Zeros of Polynomial Functions
    - Writing Polynomial Functions from Given Zeros
    - Polynomial Inequalities
    - Graphs of Rational Functions
    - Complex Fractions & Rational Equations
    - Rational Inequalities
  • Exponential and Logarithmic Functions
    Topics include:
    - Exponential Functions
    - Exp Functions with Base e
    - Introduction to Logarithms
    - The Natural Logarithm
    - Logarithmic Functions
    - Properties of Logarithms
    - Solve Exp & Log Equations
    - Modeling w/ Logarithms
  • Conic Sections
    Topics include:
    - Rev of Midpoint and Distance
    - Intro to Conic Sections
    - Parabolas
    - Circles
    - Ellipses
    - Hyperbolas
    - Recognizing Conic Sections from General Form
  • Trigonometric Functions
  • Analytic Trigonometry
  • Polar Coordinates and Parametric Equations
  • Matrices & Systems
  • Vectors
  • Sequences and Series
  • Advanced Probability & Statistics
  • End of Year Assessment - Precalculus

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