[Hourly Lessons] IBDP Mathematics AISL|1-on-1 Tutoring with Tim

By TC Categories: Exam Program, IB, Math
Wishlist Share
Share Course
Page Link
Share On Social Media

About Course

Discounts Available

  

Save more when you commit to longer-term learning! Apply the following coupon codes at checkout:

  

  • NT$8,000+ → 5% off (enter code: save8000)
  • NT$15,000+ → 8% off (enter code: save15000)
  • NT$25,000+ → 12% off (enter code: save25000)
  • NT$40,000+ → 16% off (enter code: save40000)
  • NT$60,000+ → 20% off (enter code: save60000)

  

New here? Use coupon code TRIAL at checkout to get NT$500 off your first session!

  

Coupons cannot be combined with other promotions.

  


  

If you’re looking for clear, personalized help in math or physics, this is a live 1-on-1 lesson with me, Tim Chen. I work with students from a wide range of programs. Whether you’re preparing for big exams, tackling tough topics, or aiming for top scores and universities.

  

Lessons are always tailored to your pace, your goals, and your learning style. I’ll help you build a solid understanding, improve problem-solving, and feel more confident step by step.

  


 

Course Contents

Part I – Core Topics

Unit 1: Straight Lines

Covers the equations and properties of straight lines.

  • The equation of a line

  • Graphing straight lines

  • Perpendicular bisectors

  • Simultaneous equations

  • Problem solving with simultaneous equations


Unit 2: Sets and Venn Diagrams

Introduces set notation, diagrams, and logical operations.

  • Sets and elements

  • Intersection and union

  • Complements of sets

  • Special number sets

  • Interval notation

  • Venn diagrams and regions

  • Problem solving with Venn diagrams


Unit 3: Surds and Exponents

Explores radicals, exponents, and scientific notation.

  • Surds and radicals

  • Division by surds

  • Exponents

  • Laws of exponents

  • Scientific notation


Unit 4: Equations

Focuses on solving polynomial and other equations.

  • Quadratic-type equations (\(x^2 = k\))

  • Power equations

  • Factored form equations

  • Quadratic equations

  • Solving polynomial equations with technology

  • Solving other equations with technology


Unit 5: Sequences and Series

Studies arithmetic and geometric sequences with applications.

  • Number sequences

  • Arithmetic sequences

  • Geometric sequences

  • Growth and decay

  • Financial mathematics

  • Series introduction

  • Arithmetic series

  • Finite and infinite geometric series


Unit 6: Measurement

Covers geometry of 2D and 3D shapes.

  • Circles, arcs, and sectors

  • Surface area

  • Volume

  • Capacity


Unit 7: Right-Angled Triangle Trigonometry

Applies trigonometric ratios in right triangles.

  • Trig ratios

  • Finding side lengths and angles

  • Right angles in figures

  • Problem solving in trigonometry

  • True bearings

  • Angle between line and plane


Unit 8: Non-Right-Angled Triangle Trigonometry

Extends trigonometry to general triangles.

  • Unit circle basics

  • Area of a triangle

  • Cosine rule

  • Sine rule

  • Problem solving with non-right triangles

  • Ambiguous case of sine rule


Unit 9: Points in Space

Introduces 3D geometry and trigonometry.

  • Coordinates of points in space

  • Measurement in space

  • Trigonometry in 3D


Unit 10: Probability

Explores probability concepts and rules.

  • Experimental probability

  • Two-way tables

  • Sample space and events

  • Theoretical probability

  • Addition law

  • Independent and dependent events

  • Conditional probability

  • Formal independence

  • Making predictions


Unit 11: Sampling and Data

Covers methods of data collection and sampling.

  • Errors in sampling

  • Sampling methods

  • Types of data

  • Simple discrete data

  • Grouped discrete data

  • Continuous data


Unit 12: Statistics

Focuses on measures of central tendency and spread.

  • Mean, median, mode

  • Choosing appropriate measures

  • Frequency tables

  • Grouped data

  • Measures of spread

  • Box-and-whisker diagrams

  • Outliers

  • Parallel box plots

  • Cumulative frequency graphs

  • Variance and standard deviation


Part II – Advanced Topics

Unit 1: Approximations and Error

Introduces rounding, approximations, and error analysis.

  • Rounding numbers

  • Approximations

  • Errors in measurement

  • Absolute and percentage error


Unit 2: Loans and Annuities

Covers financial applications of compound interest.

  • Loans

  • Annuities


Unit 3: Functions

Explores function definitions, notation, and transformations.

  • Relations and functions

  • Function notation

  • Domain and range

  • Graphs of functions

  • Sign diagrams

  • Transformations of graphs

  • Inverse functions


Unit 4: Modelling

Applies functions and equations to real-world situations.

  • The modelling cycle

  • Linear models

  • Piecewise linear models

  • Systems of equations


Unit 5: Bivariate Statistics

Analyzes relationships between two variables.

  • Association between numerical variables

  • Pearson’s correlation coefficient

  • Line of best fit (by eye)

  • Least squares regression line

  • Spearman’s rank correlation coefficient


Unit 6: Quadratic Functions

Focuses on quadratic graphs, properties, and applications.

  • Quadratic functions

  • Graphs from tables of values

  • Axes intercepts

  • Graphs of \(y=ax^2\)

  • Graphs of general quadratics

  • Axis of symmetry

  • Vertex

  • Finding quadratic from graph

  • Intersection of graphs

  • Quadratic models


Unit 7: Direct and Inverse Variation

Explores variation and modeling relationships.

  • Direct variation

  • Powers in direct variation

  • Inverse variation

  • Powers in inverse variation

  • Determining variation models

  • Using technology to find models


Unit 8: Exponentials and Logarithms

Studies exponential and logarithmic functions and applications.

  • Exponential functions

  • Graphing from tables

  • Graphs of exponentials

  • Exponential equations

  • Growth and decay

  • Natural exponential

  • Logarithms (base 10)

  • Natural logarithms


Unit 9: Trigonometric Functions

Introduces trigonometric modeling and periodicity.

  • The unit circle

  • Periodic behaviour

  • Sine and cosine functions

  • General sine/cosine functions

  • Modelling periodic behaviour


Unit 10: Differentiation

Covers the basics of derivatives.

  • Rates of change

  • Instantaneous rate of change

  • Limits

  • Gradient of a tangent

  • Derivative function

  • Differentiation

  • Rules for differentiation


Unit 11: Properties of Curves

Analyzes functions using first derivatives.

  • Tangents

  • Normals

  • Increasing and decreasing functions

  • Stationary points


Unit 12: Applications of Differentiation

Applies calculus to optimization and modeling.

  • Rates of change applications

  • Optimisation problems

  • Modelling with calculus


Unit 13: Integration

Introduces integrals and their applications.

  • Approximating area under a curve

  • Riemann integral

  • Fundamental Theorem of Calculus

  • Antidifferentiation & indefinite integrals

  • Rules for integration

  • Particular values

  • Definite integrals

  • Area under a curve


Unit 14: Discrete Random Variables

Explores discrete probability distributions and binomial models.

  • Random variables

  • Discrete distributions

  • Expectation

  • Binomial distribution

  • Binomial probabilities using technology

  • Mean and standard deviation of binomial distribution


Unit 15: The Normal Distribution

Applies the normal model to probability problems.

  • Introduction to normal distribution

  • Calculating probabilities

  • Quantiles


Unit 16: Hypothesis Testing

Introduces inference procedures with \(t\) and \(\chi^2\).

  • Statistical hypotheses

  • Student’s \(t\)-test

  • Two-sample \(t\)-test for population means

  • \(\chi^2\) goodness of fit test

  • \(\chi^2\) test for independence


Unit 17: Voronoi Diagrams

Explores geometric modeling with regions of influence.

  • Voronoi diagrams

  • Constructing Voronoi diagrams

  • Adding a site

  • Nearest neighbour interpolation

  • Largest Empty Circle problem


 

Subjects I Teach

  • Standardized Tests
    • SAT math
    • ACT math
  • AP Courses
    • AP Calculus AB / BC
    • AP Physics 1 / 2 / CM / CEM
    • AP Statistics
    • AP Precalculus
  •  IBDP
    • IB Mathematics AA / AI
    • IB Physics
    • IB Internal Assessment (IA) Guidance
  •  A-Level Subjects
    • A-Level Mathematics
    • A-Level Physics
  • Other Subjects
    • Algebra 1 / 2
    • Geometry
    • Precalculus
    • Physics
    • Functions / Advanced Functions
    • Integrated Math (IM1 – IM4)

 


 

About Me

I’ve worked with students from all over the world, helping them get through challenging material, prepare for competitive exams, and feel more confident in math and physics. I focus on clear explanations, strong fundamentals, and real progress.

 


 

Lesson Format

  • Live 1-on-1 via Zoom
  • Flexible scheduling
  • Lessons in English or Mandarin
  • Optional whiteboard, handouts, or recordings based on your preference

If you’re serious about improving or want to feel more in control of your learning, let’s work together. Book a trial or message me with any questions.

 

Show More

What Will You Learn?

  • Break down tough math and physics concepts into simple, logical steps
  • Build strong foundations in calculus, mechanics, statistics, and algebra
  • Prepare effectively for standardized exams like SAT, ACT, AP, IB, and A-Level
  • Improve your problem-solving strategy and accuracy under time pressure
  • Learn how to recognize patterns, organize your thoughts, and tackle unfamiliar problems with confidence
  • Get step-by-step guidance on Internal Assessments (IA) for IB Physics and Math

Student Ratings & Reviews

No Review Yet
No Review Yet

Want to receive push notifications for all major on-site activities?