AP Precalculus

AP Precalculus Curriculum

AP Precalculus 

 

About the Course 

 

Taking AP Precalculus prepares you for other college-level mathematics and science courses. During the course, you’ll explore everyday situations using mathematical tools and lenses. You’ll also develop an understanding of modeling and functions and examine scenarios through multiple representations. The course framework outlines content and skills needed for careers in mathematics, physics, biology, health science, social science, and data science.  

 
Skills You’ll Learn 

 

• Algebraically manipulating functions, equations, and expressions. 

• Translating mathematical information between representations. 

• Communicating with precise language and providing rationales for conclusions. 

 

Equivalency and Prerequisites 

 

College Course Equivalent 

A college precalculus course or a college algebra with trigonometry course. 

Recommended Prerequisites 

You should have successfully completed introductory algebra and geometry courses. In particular, you should be able to demonstrate proficiency with linear functions, polynomial addition and multiplication, factoring quadratic trinomials, using the quadratic formula, solving right triangle problems involving trigonometry, solving linear and quadratic equations and inequalities, algebraic manipulation of linear equations and expressions, and solving systems of equations in two and three variables. You should also be familiar with piecewise-defined functions, exponential functions and rules for exponents, radicals (e.g., square roots, cube roots), and complex numbers.  

 

Course Content 

 

The course content outlined below is organized into commonly taught units of study that provide one possible sequence for the course. Your teacher may choose to organize the course content differently based on local priorities and preferences. 

 

Unit 1: Polynomial and Rational Functions 

You’ll expand your understanding of polynomial and rational functions through the lenses of modeling and various rates of change. 

Unit 2: Exponential and Logarithmic Functions 

You’ll deepen your understanding of inverses by exploring the relationship between exponential and logarithmic functions. 

Unit 3: Trigonometric and Polar Functions 

You’ll model and explore periodic phenomena using transformations of trigonometric functions. 

Unit 4: Functions Involving Parameters, Vectors, and Matrices 

You’ll expand your understanding of the function concept by exploring a variety of new function types. 

 

    • Related Articles

    • AP Calculus AB Curriculum

      AP Calculus AB About the Course Explore the concepts, methods, and applications of differential and integral calculus. You’ll work to understand the theoretical basis and solve problems by applying your knowledge and skills. Skills You’ll Learn • ...

    • AP Statistics Curriculum

      AP Statistics About the Course Learn about the major concepts and tools used for collecting, analyzing, and drawing conclusions from data. You’ll explore statistics through discussion and activities, and you'll design surveys and experiments. Skills ...

    • AP Physics 2 Curriculum

      AP Physics 2 About the Course Expand your understanding of physics as you explore topics such as fluids; thermodynamics; electric force, field, and potential; electric circuits; magnetism and electromagnetic induction; geometric and physical optics; ...

    • AP Physics 1 Curriculum

      AP Physics 1 About the Course Learn about the foundational principles of physics as you explore Newtonian mechanics; work, energy, and power; mechanical waves and sound; and introductory, simple circuits. You’ll do hands-on laboratory work to ...

    • AP Biology Curriculum

      AP Biology About the Course Study the core scientific principles, theories, and processes that govern living organisms and biological systems. You’ll do hands-on laboratory work to investigate natural phenomena. Skills You’ll Learn • Designing ...