AP

AP Precalculus

Learn About The Subject

AP Precalculus equips students with foundational mathematical knowledge and skills, preparing them for Calculus courses and STEM fields at the university level. The course focuses on a deep understanding of various function types (polynomial, rational, exponential, logarithmic, trigonometric, polar), modeling, and problem-solving in real-world situations. AP Precalculus emphasizes the connections between different representations of functions and flexible mathematical thinking.

Common Challenges When Learning AP Precalculus

Difficulty in mastering diverse types of functions: Requiring a deep understanding of the characteristics, graphs, and transformations of polynomial, rational, exponential, logarithmic, trigonometric, and polar functions.
Challenge with complex algebraic manipulations: Demanding proficient algebraic skills to solve equations, inequalities, and simplify expressions.
Barrier in applying Trigonometry and Polar Coordinates: Needing to master trigonometric formulas, understand and apply polar coordinates, and vector-valued functions.
Obstacle in modeling real-world problems: Requiring the ability to translate real-world situations into mathematical models and solve them using Precalculus tools.

Course Content

Unit 1: Polynomial and Rational Functions

1.1: Describing how quantities change with respect to each other

1.2: Describing end behavior of polynomial and rational functions

1.3: Identifying asymptotes of and holes in the graphs of rational functions

1.4: Modeling aspects of scenarios using polynomial and rational functions

1.5: Identifying assumptions and limitations of function models

Unit 2: Exponential and Logarithmic Functions

2.1: Relating geometric sequences and exponential functions

2.2: Modeling data sets with exponential functions

2.3: Composing functions and finding inverses

2.4: Modeling scenarios with logarithmic functions

2.5: Validating a function model using a residual plot

Unit 3: Trigonometric and Polar Functions

3.1: Relating right triangle trigonometry to the sine, cosine, and tangent functions

3.2: Modeling data and scenarios with sinusoidal functions

3.3: Using inverse trigonometric functions to solve trigonometric equations

3.4: Graphing functions using polar coordinates

3.5: Describing how angles and radii change with respect to each other in a polar graph

Unit 4: Functions Involving Parameters, Vectors, and Matrices

4.1: Describing how quantities change with respect to each other in a parametric function

4.2: Graphing conic sections using implicitly defined functions and parametric functions

4.3: Using vectors to describe motion of an object

4.4: Describing the impact of a transformation matrix on a graphical object

4.5: Modeling change in a context using matrices

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Condition / Feature	Standard	Premium	Platinum
🌟Target Score Commitment	❌	❌	✅
Worksheets and Lesson Notes	✅	✅	✅
In-class Exercises and Solutions	✅	✅	✅
Extra Homework	✅	✅	✅
Exam-style and Past Papers	✅	✅	✅
Question Bank	✅	✅	✅
Saturday Morning Homework Support	❌	✅	✅
Fixed Teacher	❌	✅	✅
Support for IA, EE, TOK	❌	✅	✅
After-hours Message Response (until 9:30 PM)	❌	✅	✅
Initial Teacher & Student Meeting (Welcome Meeting)	✅	✅	✅
Teacher & Parent Conference	❌	✅	✅
Periodic Academic Reports	✅	✅	✅
Teacher's Feedback and Evaluation After Each Class	✅	✅	✅
Rescheduling Policy (Notice within working hours)	24 hours	12 hours	06 hours
Exam Pass Commitment	✅	✅	✅

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AP Precalculus

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Frequently Asked Questions

Frequently Asked Questions About

AP Precalculus

What is AP Precalculus, and for whom is it intended?

AP Precalculus is a course that prepares students with the necessary mathematical knowledge for Calculus courses and STEM fields at university. This subject is suitable for students who have completed Algebra II (or equivalent) and wish to build a solid foundation before studying Calculus.

Is AP Precalculus a new AP course?

Yes, AP Precalculus is one of the newer AP courses, introduced and officially implemented by the College Board starting from the 2023-2024 academic year to provide a more coherent mathematical pathway for students.

How does this course prepare for AP Calculus (AB/BC)?

AP Precalculus focuses on a deep understanding of various function types (polynomial, rational, exponential, logarithmic, trigonometric, polar, vector-valued), transformations, and foundational concepts (such as the average rate of change) that will be developed into limits, derivatives, and integrals in AP Calculus.

What are the most important skills developed in AP Precalculus?

The ability to work proficiently with different types of functions, solid algebraic skills, mathematical modeling thinking, and the ability to represent and interpret mathematical relationships in multiple forms (algebraic, graphical, tabular, verbal).

Are calculators allowed in the AP Precalculus exam?

Yes, graphing calculators are permitted and necessary for some parts of the AP Precalculus exam, helping students explore, visualize mathematical concepts, and solve problems.

How does Intertu Education support students studying AP Precalculus?

Intertu helps systematize knowledge about various function types, develops advanced algebraic and trigonometric skills, guides on methods for modeling real-world problems, and provides effective AP Precalculus exam strategies aligned with the new exam structure.

AP

AP Precalculus

Learn About The Subject

Common Challenges When Learning AP Precalculus

Course Content

Register For A Consultation With Our Experts

Personalized Learning Approach

Academic Pathway

Competency Assessment

Set Learning Objectives

Create A Learning Path

Implement And Optimize

MEET THE TEACHING TEAM

Dedicated Team Of Teachers Ready To Support Your Learning Journey

Tuan Nguyen

Duy Nguyen

Thuy Nguyen

Tra Nguyen

Tin Nguyen

Hieu Pham

Uyen Vu

Carolina Rondon

Choosing the right study package

Find The Optimal Academic Support Solution For You

Learn About Another Subject

Frequently Asked Questions

Frequently Asked Questions About

AP Precalculus

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