Free AP Precalculus Lesson Plans
Get a free AP precalculus curriculum created by teachers, for teachers
Free Lesson Plans
Math Medic AP Precalculus Units
Ready-to-be-taught lessons for every day of the school year, along with expert tips and questioning techniques to help each lesson be successful. All lessons follow the Experience First, Formalize Later (EFFL) format, an inquiry-based instructional model that encourages students to explore concepts before solidifying their understanding with formal definitions and procedures.
In our AP Precalculus lesson plans, students build a deep understanding of functions, modeling, and rate of change to prepare for higher-level mathematics. The course is aligned with College Board’s AP Precalculus framework and covers polynomial and rational functions, exponential and logarithmic functions, trigonometric and polar functions, and the applications of functions in modeling real-world scenarios. Each unit includes reviews, quizzes, and tests, organized into a structured daily schedule.
- Functions and their graphs
- Concavity
- Rates of change
- Change in linear and quadratic functions
- Polynomial functions and rates of change
- Zeros of polynomial functions
- Polynomial functions and end behavior
- Graphs of rational functions and end behavior
- Equivalent forms of polynomials and rational functions
- The binomial theorem
- Transformations of parent functions
- Piecewise functions
- Selecting and constructing a function model
- Change in arithmetic and geometric sequences
- Change in linear and exponential functions
- Graphing and manipulating exponential functions
- Constructing exponential models, including with the natural base, “e”
- Using regression models
- Compositions of functions
- Inverse functions
- Logarithmic functions
- Logarithm properties
- Solving exponential and logarithmic equations
- Modeling with logarithmic functions
- Periodic phenomena
- Understanding radians
- Defining sine, cosine, and tangent for any angle
- Coordinates on the unit circle
- Graphs of sine and cosine
- Transformations of sine and cosine
- Modeling with trigonometric functions
- The tangent function
- Inverse trig functions
- Trigonometric equations and inequalities
- The secant, cosecant, and cotangent functions
- Trigonometric identities
- Polar coordinates
- Polar graphs of circles, roses, and limaçons
- Rates of change of polar functions
- 25 days of structured review coursework
- Review activities
- Videos for mastering the 4 AP Precalc FRQs
- Exam tips
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Comprehensive Curriculum
Math Medic is an all-in-one package for your classroom. We provide a day-by-day schedule with all the supplemental materials you need. The lessons are free, while homework, quizzes, and tests are available as add-on services.
Discovery-Based Learning
We use a discovery- or inquiry-based lesson model that uses activities to enable students to guide the lessons. Teachers don’t lecture but respond to the students.
By Teachers, For Teachers.
Math Medic was created by high school math teachers based on years of experience in the classroom. We’re not a publishing company, we’re your colleagues—an extension of your math department.
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