[Hourly Lessons] IBDP Mathematics AASL|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: The Binomial Theorem
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Factorial notation
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Binomial expansions
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The binomial theorem
Unit 2: Quadratic Functions
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Quadratic functions and graphs
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The discriminant
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Finding equations from graphs
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Graph intersections
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Quadratic problem solving
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Optimisation with quadratics
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Quadratic inequalities
Unit 3: Functions
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Relations and functions
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Function notation
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Domain and range
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Rational functions
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Composite functions
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Inverse functions
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Absolute value functions
Unit 4: Transformations of Functions
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Translations
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Stretches
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Reflections
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Miscellaneous transformations
Unit 5: Exponential Functions
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Rational exponents
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Expansion and factorisation
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Exponential equations
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Exponential functions
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Growth and decay
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Natural exponential
Unit 6: Logarithms
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Logarithms (base 10, base $a$)
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Laws of logarithms
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Natural logarithms
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Logarithmic equations
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Change of base rule
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Solving exponentials with logarithms
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Logarithmic functions
Unit 7: The Unit Circle and Radian Measure
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Radian measure
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Arc length and sector area
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Unit circle
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Special angles (\(\pi/6,\, \pi/4\))
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Pythagorean identity
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Finding angles
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Equation of a line
Unit 8: Trigonometric Functions
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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
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Tangent function
Unit 9: Trigonometric Equations and Identities
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Trigonometric equations
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Trig models
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Identities
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Double-angle identities
Unit 10: Reasoning and Proof
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Logical connectives
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Proof by deduction
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Proof by equivalence
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Definitions
Unit 11: Introduction to Differential Calculus
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Rates of change
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Instantaneous rates
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Limits
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Tangent gradient
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Derivative function
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Differentiation from first principles
Unit 12: Rules of Differentiation
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Simple rules
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Chain rule
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Product rule
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Quotient rule
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Derivatives of exponentials, logarithms, trig functions
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Second derivatives
Unit 13: Properties of Curves
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Tangents and normals
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Increasing/decreasing functions
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Stationary points
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Shape and inflection points
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Linking functions with derivatives
Unit 14: Applications of Differentiation
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Rates of change applications
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Optimisation problems
Unit 15: Introduction to Integration
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Approximating area under a curve
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Riemann integral
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Antidifferentiation
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Fundamental Theorem of Calculus
Unit 16: Techniques for Integration
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Discovering integrals
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Rules of integration
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Particular values
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Integrating \(f(ax+b)\)
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Substitution method
Unit 17: Definite Integrals
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Definite integrals
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Area under a curve
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Area above a curve
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Area between two functions
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Integration problem solving
Unit 18: Kinematics
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Displacement
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Velocity
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Acceleration
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Speed
Unit 19: Bivariate Statistics
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Association between variables
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Pearson’s correlation coefficient
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Line of best fit (by eye and least squares)
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Regression lines (\(x\) on \(y\))
Unit 20: Discrete Random Variables
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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 with technology
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Mean and standard deviation of binomial distribution
Unit 21: The Normal Distribution
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Introduction to the normal distribution
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Calculating probabilities
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Standard normal distribution
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Quantiles
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.


