College application academic evidence · reasoning and revision · Seoul and online
Exam prepAimed at an AP, IB, or IGCSE exam score.
AP Precalculus
Grades 9-12: how functions change, exponential growth...
- Free consultation and level check
- Apgujeong classroom or online
- One-to-one or small group
- Registered academy no. 11882
Is AP Precalculus a good fit for high school students in Grades 9-12?
AP Precalculus is a good fit for students in grades 9-12 who are interested in how functions change and exponential growth models. CIT offers online or in-person lessons in Apgujeong, Gangnam, Seoul, in one-to-one or small-group formats. Students make worked solutions in equations, graphs, and tables and written explanations of data models.
Polynomial and rational functions come first, read through their rates of change; exponential and logarithmic functions then model growth and decay, and the course moves on to trigonometric and polar graphs and to functions defined with parameters, vectors, and matrices. In every unit the same function is shown as an equation, a graph, and a table, and students choose a model that fits real data and explain the choice. Each answer says which representation it was read from, and a wrong answer is rechecked in another representation. Alongside the score, the student builds the academic evidence an application can use: how they applied a core idea, why an answer failed, and how they revised it.
This public guide describes the intended direction. A dedicated learning studio is not available yet.
My child loved that the teacher explained things really well and made the lesson enjoyable. We are very glad too.
- Age group
- Grades 9-12
- Academic subject
- Mathematics & StatisticsBrowse subject
- Course type
- Exam preparation
- Format
- Online or Apgujeong in person · one-to-one or small group
- Teaching language
- Korean by default, with complete English materials
- Curriculum status
- Planned courseThis subject is available for consultation, but a teachable lesson sequence is not yet published.
How can I explain this course to my child?
If you want to understand the important ideas behind how functions change instead of memorizing answers, AP Precalculus connects exponential growth models to exam-ready reasoning and a record of how you fixed mistakes.
Which interests suggest this course?
- how functions change
- exponential growth models
- trigonometric and polar graphs
What does the student finish?Worked solutions in equations, graphs, and tables and written explanations of data models.
Is this a good fit?
A strong fit for students who need stronger mathematical foundations or want to apply mathematics in science, AI, economics, or research.
Current study of, or planned preparation for, AP Precalculus.
A short diagnostic review sets the starting point.
Progress depends on regular practice and acting on feedback.
What will my child learn?
- Connect the zeros, asymptotes, and increasing and decreasing intervals of polynomial and rational functions to their graphs.
- Solve equations with the properties of exponents and logarithms, and choose a model that fits a data set.
- Represent periodic behavior with trigonometric functions and interpret the shapes of polar graphs.
- Describe motion and transformations in the plane with parametric functions, vectors, and matrices.
Which units does the official course cover?
- 1Polynomial and Rational Functions
Read increase and decrease from average rates of change, find zeros and asymptotes, and sketch the graphs.
- 2Exponential and Logarithmic Functions
Move from arithmetic and geometric sequences to exponential functions and their logarithmic inverses, and analyze data on semi-log plots.
- 3Trigonometric and Polar Functions
Model periodic behavior with sine and cosine graphs, solve trigonometric equations, and graph polar functions.
- 4Functions Involving Parameters, Vectors, and Matrices
Track a point's motion with parametric functions, and rotate or stretch shapes with matrix transformations.

What counts as useful evidence?
Worked solutions in equations, graphs, and tables and written explanations of data models.
What should an admissions reader be able to see?
Alongside the score, the student builds the academic evidence an application can use: how they applied a core idea, why an answer failed, and how they revised it.
Useful evidence may include a clear model, justified assumptions, correct calculations, visualized data, and an explanation of uncertainty.
The evidence an application reads is what the student understood, completed, and can explain.
Which sources were reviewed?
Catalog reviewed: 2026-09-30
Questions parents search before choosing this course
Is AP Precalculus a good fit for high school students in Grades 9-12?
AP Precalculus is a good fit for students in grades 9-12 who are interested in how functions change and exponential growth models. CIT offers online or in-person lessons in Apgujeong, Gangnam, Seoul, in one-to-one or small-group formats. Students make worked solutions in equations, graphs, and tables and written explanations of data models.
Can my child take AP Precalculus online or in person, one-to-one or in a small group?
Yes. CIT offers online and in-person lessons at its Apgujeong academy in Gangnam, Seoul, with one-to-one and small-group options. A readiness consultation confirms the available format and starting point for the course.
Does my child need prior subject knowledge or coding experience for AP Precalculus?
Current study of, or planned preparation for, AP Precalculus. A short diagnostic review sets the starting point. Progress depends on regular practice and acting on feedback.
What will my child make or practice in AP Precalculus?
The main evidence is worked solutions in equations, graphs, and tables and written explanations of data models. Students also document decisions, tests, feedback, and limits in age-appropriate language.
How does AP Precalculus exam preparation work?
CIT starts with a short diagnostic, then works through the units in order, from Polynomial and Rational Functions to Functions Involving Parameters, Vectors, and Matrices, reviewing errors and improving exam-style responses. Practice is adapted to the student's current syllabus and readiness.
How are the schedule and tuition for AP Precalculus determined?
CIT confirms the student's readiness, goal, location, class size, and current availability before recommending a course plan. The consultation and level check are free; tuition is explained before enrollment.
When should a student start?
The exam date is set by the school or the exam board, so the time left decides how many units the student can cover and how much practice fits. CIT checks the remaining weeks first, then proposes a starting unit.
At first my child did not want to go, because it was a weekend class. After the lesson they said it had been fun. Hearing that they ask about anything they do not understand and take part on their own put me at ease as a parent.
Where else parents check CIT
Choose the course after a readiness check
CIT can compare this course with nearby options by age, subject, and current preparation.