Free Precalculus Lesson Plans
Get a free precalculus curriculum created by teachers, for teachers.
Free Lesson Plans
Math Medic Precalculus Units
Ready-to-use lessons for every day of the school year, complete with expert tips and questioning techniques to support student understanding. Every lesson follows the Experience First, Formalize Later (EFFL) format, an inquiry-based instructional model designed to engage students in discovery before introducing formal definitions and procedures.
In our precalculus lesson plans, students engage in an in-depth study of function families, from polynomial, exponential, and logarithmic functions, to trigonometric and polar functions. They learn to reason analytically, communicate precisely, and apply their understanding to real-world scenarios. The course culminates in an accessible and engaging introduction to the big ideas of Calculus. Each unit includes reviews, quizzes, and tests, all structured into a daily schedule.
- Cartesian plane
- Equations of circles
- Reasoning with and solving equations
- Linear relationships
- Set notation
- Function concepts
- Rate of change and graph behavior
- Transformations of parent functions
- Combinations and compositions of functions
- Inverse functions
- Piecewise functions
- Manipulating quadratics
- Polynomials in the short and long run
- Factor and remainder theorem
- Real and complex zeroes
- Rational functions
- Exponential functions
- Compound interest and introduction to “e”
- Logarithmic functions and properties
- Solving exponential and logarithmic functions
- Exponential and logarithmic modeling
- Right triangle trigonometry
- Radians and degrees
- Graphing sine and cosine
- Transformations of sine and cosine graphs
- Graphing secant, cosecant, tangent, and cotangent
- Inverse trig functions
- Trigonometric modeling and identities
- Law of sines
- Law of cosines
- Area and applications of laws
- Vectors
- Polar coordinates and equations
- Polar graphs
- Parametric equations
- Understanding solutions to systems
- Solving systems with substitution and elimination
- Solving systems in three variables
- Partial fractions
- Using sequences and series to describe patterns
- Arithmetic sequences and series
- Geometric sequences
- Finite and infinite geometric series
- Proof by induction
- Understanding limits
- Strategies for evaluating limits
- Continuity
- Intermediate Value Theorem
- Limits at infinity
- Average vs. instantaneous rates of change
- Calculating derivative functions
- Differentiability
- Connecting f and f’
- Derivatives of sine and cosine
- Product and quotient rule
- Introduction to conic sections
- Defining and working with parabolas
- Defining and working with ellipses
- Defining and working with hyperbolas
Complete Your Curriculum With Assessments
While lesson plans are always free with a Math Medic account, our Assessment Platform provides ready-made and editable homework, quizzes, and tests that align perfectly with our lesson plans. Our Assessment Platform allows teachers the flexibility of adapting our assessments to meet their own needs, delivering assignments digitally or on paper and even sharing them among teaching staff – right from the platform.
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.
While the Math Medic Precalculus curriculum was created with the Common Core State Standards in mind, the curriculum addresses the content standards of many states. Our standards alignments are linked below.
- Common Core State Standards
- Texas Essential Knowledge Standards (TEKS)
- New York Next Generation Standards
Don’t see an alignment for your state? Send us a message to request its development.
None! The Math Medic curriculum is not aligned to a textbook. We created the sequence of topics based on the Common Core State Standards and our experiences of what worked well with our own students. For homework, quizzes, and tests, we use the Math Medic Assessment Platform to supplement the lessons.