Lower Sec Maths
Sec 1 & Sec 2 / IP 1 & IP 2 · 1.5-hour weekly lessonMost upper-secondary maths questions rely on lower-secondary skills, especially algebra. We practise these until they are automatic, so in Sec 3 students can focus on the new topics.
What we cover11 topics
- Numbers and standard form
- Algebraic manipulation
- Ratio, proportion, percentage and interest
- Rate and speed
- Linear equations and inequalities
- Linear functions and graphs
- Angles, triangles and polygons
- Mensuration
- Congruence and similarity
- Pythagoras and basic trigonometry
- Statistical diagrams
Lower Sec Science
Sec 1 & Sec 2 / IP 1 & IP 2 · 1.5-hour weekly lessonSec 2 results decide whether students take Pure or Combined Science. We teach the physics, chemistry and biology topics as connected ideas, with extra time on the particle model of matter, which much of upper-secondary science builds on.
What we cover16 topics
- The Scientific Endeavour
- Diversity of Matter by Physical Properties
- Diversity of Matter by Chemical Composition
- Diversity of Matter using Separation Techniques
- Model of Matter — Particulate Nature of Matter
- Model of Matter — Atoms and Molecules
- Chemical Changes
- Ray Model of Light
- Application of Forces and Transfer of Energy
- Transfer of Heat Energy and its Effects
- Electrical Systems
- Model of Cells — the Basic Unit of Life
- Human Digestive System
- Transport Systems in Living Things
- Human Sexual Reproductive System
- Interactions within Ecosystems
Upper Sec Maths
Sec 3 & Sec 4 · A & E Math (G3) / IP · 2-hour weekly lessonOne class covers A Math and E Math for G3 students and IP Maths for IP students. The content overlaps heavily, and IP students get the extra depth their school exams ask for. E Math topics that A Math doesn't cover are taught in holiday blocks. Learning calculus and vectors well here makes the move to JC Maths easier.
What we cover29 topics
Algebra & geometry
- Quadratic expressions and algebraic fractions
- Quadratic equations
- Quadratic and power graphs
- Quadratic functions
- Indices
- Surds
- Polynomials and partial fractions
- Equations and inequalities
- Binomial expansions
- Exponential and logarithmic functions
- Coordinate geometry of lines
- Congruence and similarity
- Pythagoras and trigonometry
- Set language and notation
- Matrices
Trigonometry, calculus & the JC bridge
- Radians, arc and sector
- Properties of circles
- Coordinate geometry of circles
- Linear law
- Trigonometric functions and equations
- Trigonometric identities
- Proofs in plane geometry
- Differentiation
- Integration and kinematics
- Vectors in two dimensions
- Probability
- Histograms, stem-and-leaf and box plots
- Averages and standard deviation
- Real-world and integrated problems
Upper Sec Physics
Sec 3 & Sec 4 · Pure Physics (G3) / IP · 2-hour weekly lessonOne class for G3 Pure Physics and IP Physics students. IP exams expect students to reason from first principles earlier, so we teach the whole syllabus to that depth. G3 students go into the O-Level paper well prepared, and everyone is ready for H2 Physics.
What we cover20 topics
Mechanics & thermal
- Physical Quantities, Units & Measurement
- Kinematics
- Dynamics
- Turning Effect of Forces
- Pressure
- Energy
- Kinetic Particle Model of Matter
- Thermal Processes
- Thermal Properties of Matter
Waves, electricity & modern
- General Properties of Waves
- Light
- Electromagnetic Spectrum
- Static Electricity
- Current of Electricity
- D.C. Circuits
- Practical Electricity
- Magnetism
- Electromagnetism
- Electromagnetic Induction
- Radioactivity
Upper Sec Chemistry
Sec 3 & Sec 4 · Pure Chemistry (G3) / IP · 2-hour weekly lessonMemorising facts isn't enough for Chemistry. We start with structure and bonding, then teach mole calculations, qualitative analysis and organic reactions as things that follow from it, so there's less to memorise.
What we cover13 topics
- Experimental Chemistry
- The Particulate Nature of Matter
- Chemical Bonding and Structure
- Chemical Calculations
- Acid-Base Chemistry
- Qualitative Analysis
- Redox Chemistry
- Patterns in the Periodic Table
- Chemical Energetics
- Rate of Reactions
- Electrochemistry
- Organic Chemistry
- Maintaining Air Quality