### 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.

### AP Precalculus Course Content

**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 Exam Tips – AP Students