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Problem-solving strategies, number sense, sets & functions
Descriptive stats, probability, statistical reasoning
Manipulation, polynomials, sequences & series
Ratios and proportions, algebraic manipulations, equations, inequalities, polynomials
Differentiation, integration
Graphs of functions, curve sketching, trigonometric functions
Plane geometry, coordinate geometry, Solid figures
Counting and probabilities, statistics
Manipulation, equations, inequalities
Graphs of functions
Plane geometry, solid figures
Counting, sequences, ratios & proportions
Differentiation, integration
Curve sketching, trigonometry, exponentials & logarithms
Polynomials, equations, binomial expansions, series
Coordinate geometry
Kinematics, statics, dynamics, work, energy, momentum
Waves, ray optics
Circuits, electrical elements, magnetism, electromagnetic induction
Atomic structure, chemical bonding, formulae and equations, separation techniques, quantitative chemistry, oxidation/reduction, electrolysis
Metals, acids/bases/salts, chemical tests, air and water
Energetics, kinetic/particle theory, rates of reaction, equilibrium
Organic chemistry, environmental
Proteins/enzymes, DNA, cell structure, gene mutation, membrane transport, cell division, gene technologies
Inheritance, variation and natural selection
Digestive, respiratory, circulatory, nervous, endocrine, urinary, reproductive, immune system, homeostasis
Communicable and non-communicable diseases
Respiration and photosynthesis, plant transport, transpiration
Ecosystem, material cycling, biodiversity
Gravitation, moon phases, solar system
This module establishes the core mathematical principles assessed in STEP.
Equations, Inequalities, and Polynomials
Functions, graphs, curve sketching, and trigonometric identities
Dive deeper into pure mathematics with topics crucial for STEP 2.
Gain a solid understanding of mechanics and statistics concepts.
Static equilibrium, kinematics, dynamics, energy and momentum
Probability, distributions, games and strategies
Tackle advanced pure math topics to excel in STEP 3.
Master challenging concepts in mechanics and statistics.
Impact, circular motion, and simple harmonic motion
Further random variables
Averages, ranges, distributions
Permutations, combinations, and probability calculations
Algebraic manipulation, equations, inequalities, and polynomials
Trigonometric functions and identities
Graphing techniques and curve sketching
Differentiation, integration, and their applications
Plane geometry, coordinate geometry, and geometric proofs
Properties of 3D shapes, surface area, and volume
Direct and inverse proportion, scale factors
Logical statements, reasoning, and proofs
Divisibility, prime numbers, and modular arithmetic
Mathematical arguments, and formal logic
Elementary algorithm design and analysis
Average, range, distribution
Permutations, combinations, probability
Algebraic manipulation, equations, and inequalities
Graphs of functions
Number sequences and patterns
Plane geometry and solid figures
Understanding and applying ratios
Polynomial functions and equations
Sketching graphs of various functions
Trigonometric functions and identities
Exponential and logarithmic functions
Advanced equation-solving techniques
Expanding binomial expressions
Arithmetic and geometric series
Differentiation and integration
Using coordinates in geometric problems
Kinematics, static equilibrium, dynamics, work and energy, momentum
Properties of matter
Heat, temperature, and thermodynamics
Wave properties, wave phenomena (including optics)
Electric circuits, magnetic fields, electromagnetism
Basic concepts of nuclear physics
Algebraic manipulation, equations, inequalities
Trigonometric functions and identities
Sequences, series and patterns
Polynomial functions and equations
Basic differentiation and integration techniques
Plane geometry, coordinate geometry, solid figures
Kinematics, forces, energy, momentum
Wave properties, wave phenomena
Electric circuits, magnetic fields
Reflection, refraction, lenses
Basic concepts of nuclear physics
Moon phases, eclipses, solar system
This module is a combined mathematics and physics curriculum, drawing from topics in both ESAT and PAT.
Statistics, algebra, trigonometry, functions, calculus, geometry
Mechanics, matter, thermal physics, waves, electricity & magnetism, nuclear physics, astrophysics
平均數、範圍、分佈
排列、組合、機率計算
代數運算、方程式、不等式、多項式
三角函數和恆等式
繪圖技巧和曲線草圖
微分、積分及其應用
平面幾何、坐標幾何和幾何證明
3D形狀的屬性、表面積和體積
正比例和反比例、比例因子
邏輯語句、推理和證明
整除性、質數和模運算
數學論證和形式邏輯
基本演算法設計和分析
