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
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Why Choose Math Medic?
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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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.