Free AP Precalculus Lesson Plans
Get a free AP precalculus curriculum created by teachers, for teachers.
Free Lesson Plans
Math Medic 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
Complete Your Curriculum With Assessments
While lesson plans are always free, we also offer editable homework, quizzes, and tests that align with the AP Precalculus curriculum. Our Assessment Platform allows teachers to adapt assessments to their individual classrooms and deliver them digitally or on paper.
Have Questions? Let Us Know!
Moving to a new curriculum can be a big step, but we’re here to help! Reach out to our team to learn more about making the switch to Math Medic as seamless as possible.
Why Choose Math Medic?
Comprehensive Curriculum
Math Medic provides a structured, day-by-day schedule with all the materials you need to teach precalculus. Lessons are free, while homework, quizzes, and tests are available as add-on subscriptions.
Discovery-Based Learning
Our discovery-based lesson model encourages students to explore concepts before formalizing their understanding. Teachers guide discussions and respond to student discoveries, which creates a dynamic learning environment.
By Teachers, For Teachers.
Math Medic was founded by high school math teachers with years of classroom experience. We’re not a publishing company—we’re your colleagues, an extension of your math department.
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Frequently Asked Questions
All of our lessons are free! Assessment resources are available through a subscription to the Math Medic Assessment Platform. Pricing depends on the number of courses.
The Math Medic AP Precalculus curriculum is perfectly aligned to the College Board’s Course and Exam Description (CED) for AP Precalculus. Check out the alignment guide below. CED Alignment Guide
None! The Math Medic curriculum is not aligned with a textbook. We created the sequence of topics based on the College Board’s Course and Exam Description (CED) for AP Precalculus. For homework, quizzes, and tests, we use the Math Medic Assessment Platform to supplement the lessons.