[Hourly Lessons] IBDP Mathematics AISL|1-on-1 Tutoring with Tim
About Course
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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.
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The equation of a line
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Graphing straight lines
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Perpendicular bisectors
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Simultaneous equations
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Problem solving with simultaneous equations
Unit 2: Sets and Venn Diagrams
Introduces set notation, diagrams, and logical operations.
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Sets and elements
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Intersection and union
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Complements of sets
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Special number sets
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Interval notation
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Venn diagrams and regions
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Problem solving with Venn diagrams
Unit 3: Surds and Exponents
Explores radicals, exponents, and scientific notation.
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Surds and radicals
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Division by surds
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Exponents
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Laws of exponents
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Scientific notation
Unit 4: Equations
Focuses on solving polynomial and other equations.
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Quadratic-type equations (\(x^2 = k\))
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Power equations
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Factored form equations
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Quadratic equations
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Solving polynomial equations with technology
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Solving other equations with technology
Unit 5: Sequences and Series
Studies arithmetic and geometric sequences with applications.
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Number sequences
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Arithmetic sequences
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Geometric sequences
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Growth and decay
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Financial mathematics
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Series introduction
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Arithmetic series
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Finite and infinite geometric series
Unit 6: Measurement
Covers geometry of 2D and 3D shapes.
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Circles, arcs, and sectors
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Surface area
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Volume
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Capacity
Unit 7: Right-Angled Triangle Trigonometry
Applies trigonometric ratios in right triangles.
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Trig ratios
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Finding side lengths and angles
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Right angles in figures
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Problem solving in trigonometry
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True bearings
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Angle between line and plane
Unit 8: Non-Right-Angled Triangle Trigonometry
Extends trigonometry to general triangles.
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Unit circle basics
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Area of a triangle
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Cosine rule
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Sine rule
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Problem solving with non-right triangles
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Ambiguous case of sine rule
Unit 9: Points in Space
Introduces 3D geometry and trigonometry.
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Coordinates of points in space
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Measurement in space
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Trigonometry in 3D
Unit 10: Probability
Explores probability concepts and rules.
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Experimental probability
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Two-way tables
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Sample space and events
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Theoretical probability
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Addition law
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Independent and dependent events
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Conditional probability
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Formal independence
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Making predictions
Unit 11: Sampling and Data
Covers methods of data collection and sampling.
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Errors in sampling
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Sampling methods
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Types of data
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Simple discrete data
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Grouped discrete data
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Continuous data
Unit 12: Statistics
Focuses on measures of central tendency and spread.
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Mean, median, mode
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Choosing appropriate measures
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Frequency tables
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Grouped data
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Measures of spread
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Box-and-whisker diagrams
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Outliers
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Parallel box plots
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Cumulative frequency graphs
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Variance and standard deviation
Part II – Advanced Topics
Unit 1: Approximations and Error
Introduces rounding, approximations, and error analysis.
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Rounding numbers
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Approximations
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Errors in measurement
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Absolute and percentage error
Unit 2: Loans and Annuities
Covers financial applications of compound interest.
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Loans
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Annuities
Unit 3: Functions
Explores function definitions, notation, and transformations.
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Relations and functions
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Function notation
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Domain and range
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Graphs of functions
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Sign diagrams
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Transformations of graphs
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Inverse functions
Unit 4: Modelling
Applies functions and equations to real-world situations.
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The modelling cycle
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Linear models
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Piecewise linear models
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Systems of equations
Unit 5: Bivariate Statistics
Analyzes relationships between two variables.
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Association between numerical variables
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Pearson’s correlation coefficient
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Line of best fit (by eye)
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Least squares regression line
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Spearman’s rank correlation coefficient
Unit 6: Quadratic Functions
Focuses on quadratic graphs, properties, and applications.
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Quadratic functions
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Graphs from tables of values
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Axes intercepts
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Graphs of \(y=ax^2\)
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Graphs of general quadratics
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Axis of symmetry
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Vertex
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Finding quadratic from graph
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Intersection of graphs
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Quadratic models
Unit 7: Direct and Inverse Variation
Explores variation and modeling relationships.
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Direct variation
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Powers in direct variation
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Inverse variation
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Powers in inverse variation
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Determining variation models
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Using technology to find models
Unit 8: Exponentials and Logarithms
Studies exponential and logarithmic functions and applications.
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Exponential functions
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Graphing from tables
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Graphs of exponentials
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Exponential equations
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Growth and decay
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Natural exponential
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Logarithms (base 10)
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Natural logarithms
Unit 9: Trigonometric Functions
Introduces trigonometric modeling and periodicity.
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The unit circle
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Periodic behaviour
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Sine and cosine functions
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General sine/cosine functions
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Modelling periodic behaviour
Unit 10: Differentiation
Covers the basics of derivatives.
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Rates of change
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Instantaneous rate of change
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Limits
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Gradient of a tangent
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Derivative function
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Differentiation
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Rules for differentiation
Unit 11: Properties of Curves
Analyzes functions using first derivatives.
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Tangents
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Normals
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Increasing and decreasing functions
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Stationary points
Unit 12: Applications of Differentiation
Applies calculus to optimization and modeling.
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Rates of change applications
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Optimisation problems
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Modelling with calculus
Unit 13: Integration
Introduces integrals and their applications.
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Approximating area under a curve
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Riemann integral
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Fundamental Theorem of Calculus
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Antidifferentiation & indefinite integrals
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Rules for integration
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Particular values
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Definite integrals
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Area under a curve
Unit 14: Discrete Random Variables
Explores discrete probability distributions and binomial models.
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Random variables
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Discrete distributions
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Expectation
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Binomial distribution
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Binomial probabilities using technology
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Mean and standard deviation of binomial distribution
Unit 15: The Normal Distribution
Applies the normal model to probability problems.
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Introduction to normal distribution
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Calculating probabilities
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Quantiles
Unit 16: Hypothesis Testing
Introduces inference procedures with \(t\) and \(\chi^2\).
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Statistical hypotheses
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Student’s \(t\)-test
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Two-sample \(t\)-test for population means
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\(\chi^2\) goodness of fit test
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\(\chi^2\) test for independence
Unit 17: Voronoi Diagrams
Explores geometric modeling with regions of influence.
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Voronoi diagrams
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Constructing Voronoi diagrams
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Adding a site
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Nearest neighbour interpolation
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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.


