Free AP® Precalculus Lesson Plans
Get an AP® Precalculus curriculum created by teachers, for teachers.
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Math Medic AP® Precalculus Units
Our AP® Precalculus curriculum covers everything in the College Board Course and Exam Description (CED), and closes with a dedicated exam review unit.
You get ready-to-be-taught lessons for each day of the school year. Every lesson follows the Experience First, Formalize Later (EFFL) model: students work in small groups on an activity, then you formalize the learning together. Homework, quizzes, and tests for every unit are available through Math Medic Plus.
- 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
Why This Works
AP® Precalculus asks students to move between graphs, tables, equations, and words, often inside a single question. Getting them fluent across representations, not just inside one, is the whole job. Here’s how the course does it.
Students Do the Math Before They’re Told the Math
Every lesson opens with an activity students can work through in groups without you at the front of the room. They use structure, look for patterns, create models to represent scenarios, and work through a carefully sequenced set of questions designed to illuminate a big conceptual idea.
Then you bring the class back together and connect what they just did to the formal notation and formulas. Students add that formal learning in the margins of the same page they just worked on, in a second color. Students explore topics using strategies and language that make sense to them, before being introduced to the formal vocabulary and conventions. This makes the learning stick.
What Teachers Get Back
- Planning time. A day-by-day sequence for every unit in the course. Planning starts from a lesson, not a blank page.
- Facilitation support on every lesson. Each lesson post tells you what to watch for as groups work, which strategies to showcase, and where students usually get stuck.
- Differentiation and enrichment tips. Every lesson post carries its own short list of ways to give students another entry point, and ways to stretch the ones who are ready for more.
- Color-coded answer keys. The formal learning appears in the margins in a second color, so you can see exactly what to add and when.
- With Math Medic Plus: aligned homework, quizzes, and tests for every unit, plus a lesson video for every lesson.
Complete Your Curriculum
with Math Medic Plus
With a Math Medic Plus teacher subscription, you get access to our full curriculum resources. This includes ready-made assessments, lesson videos, and many more teacher resources.
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.
What Makes it Different
A Full Year, Day by Day
Most sites hand you activities. Math Medic hands you the course: a day-by-day schedule with the supplemental materials to go with it. Lessons are free. Assessments and lesson videos come with Math Medic Plus.
Built Around Student Discovery
Our lesson model uses activities to let students lead. Teachers don’t lecture. They respond.
Written by Classroom Teachers
Math Medic was created by high school math teachers, based on years of teaching math themselves. We’re not a publishing company. We’re your colleagues, and an extension of your math department.
The way this approach has changed my teaching style has been a complete game changer. Activities like these where we can bring the content to the students in a tangible way have been reinvigorating
The Math Medic resources are incredibly rich and powerful and steeped in the promotion of conceptual, applied thinking. Without a doubt, Math Medic has made me a better teacher.
This year, we went all in with Math Medic. And, so far, so good! As expected, it’s outside of a lot of comfort zones, but students are definitely thinking, talking, and developing concepts more deeply. So, thank you!
Trusted in Classrooms Like Yours
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Bringing AP® Precalculus to Your Whole Department
Math coaches, curriculum directors, department chairs, and principals use Math Medic to bring coherence across a team without running a textbook adoption.
With a department or district subscription:
- Every teacher works from the same sequence and the same assessments
- New and out-of-field teachers get facilitation support built into every lesson
- Lesson videos cover student absences, make-up work, and teacher prep
- Standards alignment documents are available for curriculum review
- Pricing is transparent: $325 per teacher, per course, or $595 per teacher for the five-course core bundle
Moving a department to a new curriculum is a big step. Our team, led by our Head of School Adoptions, will walk you through what a rollout looks like and what it costs.
Sign Up for a Free Account
Get instant access to every AP® Precalculus lesson plan by creating a free account.
Frequently Asked Questions
Yes. Every AP® Precalculus lesson plan, activity, and answer key is free with a Math Medic account. Homework, quizzes, tests, and lesson videos are available through a Math Medic Plus subscription, starting at $325 per teacher, per year.
The Math Medic AP® Precalculus curriculum was built to cover all of the content standards in the College Board Course and Exam Description (CED). Our CED alignment guide is linked in the resources above.
No. The Math Medic curriculum is not tied to a textbook. We built the sequence of topics from the College Board Course and Exam Description and from what worked with our own students. For homework, quizzes, and tests, we use the Assessment Platform included in Math Medic Plus.
Math Medic Plus is a yearly teacher subscription that builds on the free lessons. It adds the Assessment Platform (premade and customizable homework, quizzes, and tests), a lesson video for every lesson, and Teacher Resources including post-assessment instructional guides, caregiver communications, and student self-reflection pages.
A free account unlocks every daily lesson plan, in-class activity, and answer key for the course, plus the lesson posts with facilitation, differentiation, and enrichment tips. Homework, quizzes, tests, and lesson videos come with Math Medic Plus.
Yes. Math Medic Plus is available to individual teachers, departments, and districts. For multi-teacher pricing, request a custom quote.