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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
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