# AP Precalculus

### Course Description & Syllabus

This AP Precalculus Exam preparation course is designed to help students:

• Consolidate their knowledge of Precalculus
• Enhance their problem-solving skills
• Sharpen their test-taking skills
• Strengthen their knowledge with an in-depth review covering all units on the AP Precalculus Exam
• Reinforce their learning with multiple-choice questions and free-response questions

AP Precalculus Exam Date: Monday, 5/13/2024

The exam is 3 hours long and includes 40 multiple-choice questions and 4 six-point free-response questions.

### 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.

Topics may include:

• Describing how quantities change with respect to each other
• Describing end behavior of polynomial and rational functions
• Identifying asymptotes of and holes in the graphs of rational functions
• Modeling aspects of scenarios using polynomial and rational functions
• Identifying assumptions and limitations of function models

On The Exam

30%–40% of multiple-choice section score

### Unit 2: Exponential and Logarithmic Functions

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

Topics may include:

• Relating geometric sequences and exponential functions
• Modeling data sets with exponential functions
• Composing functions and finding inverses
• Modeling scenarios with logarithmic functions
• Validating a function model using a residual plot

On The Exam

27%–40% of multiple-choice section score

### Unit 3: Trigonometric and Polar Functions

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

Topics may include:

• Relating right triangle trigonometry to the sine, cosine, and tangent functions
• Modeling data and scenarios with sinusoidal functions
• Using inverse trigonometric functions to solve trigonometric equations
• Graphing functions using polar coordinates
• Describing how angles and radii change with respect to each other in a polar graph

On The Exam

30%–35% of multiple-choice section score

### 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.

Topics may include:

• Describing how quantities change with respect to each other in a parametric function
• Graphing conic sections using implicitly defined functions and parametric functions
• Using vectors to describe motion of an object
• Describing the impact of a transformation matrix on a graphical object
• Modeling change in a context using matrices

AP Precalculus – AP Students

AP Precalculus Exam Tips – AP Students