Math, Physics and Chemistry Course

Lesson 1 • Introduction to Graphing and Data

Teaches coordinate plotting, reading graphs, and basic data interpretation. Prepares students to analyse experimental results in later chapters.

Lesson 2 • Number Systems and Arithmetic

Covers integers, fractions, decimals, and exponents as the base for all quantitative work. Establishes computational accuracy needed throughout the course.

Lesson 3 • Units, Dimensions, and Conversions

Introduces SI and common unit systems, dimensional analysis, and conversion techniques. Directly supports accurate problem-solving in physics and chemistry.

Lesson 1 • Quadratic and Polynomial Functions

Explores quadratic equations, factoring, and the quadratic formula. Supports projectile motion and energy calculations introduced in physics chapters.

Lesson 2 • Functions and Their Properties

Defines functions, domain, range, and function notation. Establishes the conceptual framework for modelling physical and chemical phenomena.

Lesson 3 • Variables, Expressions, and Equations

Introduces symbolic representation, expression simplification, and equation solving. Forms the algebraic language used in all physics and chemistry formulas.

Lesson 4 • Systems of Equations

Covers substitution, elimination, and graphical methods for solving simultaneous equations. Applies directly to equilibrium and multi-variable physics problems.

Lesson 1 • Vector Components and Operations

Teaches component decomposition, dot product, and cross product. Enables quantitative analysis of work, torque, and electromagnetic fields.

Lesson 2 • Vector Fundamentals

Defines vectors, scalar versus vector quantities, and graphical addition. Directly supports force, velocity, and field analysis in physics.

Lesson 3 • Trigonometric Ratios and Identities

Introduces sine, cosine, tangent, and key identities for right and oblique triangles. Essential for resolving vector components and wave analysis.

Lesson 1 • Logarithms and Exponential Functions

Develops properties of logarithms and exponential functions for scientific modelling. Directly applied in pH calculations, half-life, and decibel scales.

Lesson 2 • Limits and Continuity

Defines limits intuitively and formally, and identifies continuity conditions. Establishes the conceptual foundation for derivatives and integrals.

Lesson 3 • Differential Equations Basics

Introduces first-order separable differential equations and exponential models. Supports radioactive decay, population growth, and RC circuit analysis.

Lesson 4 • Differentiation Rules and Applications

Covers power, product, quotient, and chain rules for finding derivatives. Applies derivatives to velocity, acceleration, and optimisation in physics.

Lesson 1 • Momentum and Collisions

Introduces linear momentum, impulse, and conservation laws for collision analysis. Completes classical mechanics with a powerful alternative to force methods.

Lesson 2 • Projectile and Two-Dimensional Motion

Extends kinematics to two dimensions using vector components. Covers projectile trajectories and circular motion as foundational applied mechanics.

Lesson 3 • Work, Energy, and Power

Defines mechanical work, kinetic and potential energy, and conservation of energy. Connects force analysis to energy methods for efficient problem-solving.

Lesson 4 • Kinematics in One Dimension

Defines displacement, velocity, and acceleration and derives kinematic equations. Provides the analytical tools for all subsequent motion problems.

Lesson 5 • Newton's Laws of Motion

States and applies all three of Newton's laws to real force scenarios. Builds the causal framework for understanding all mechanical interactions.

Lesson 1 • Heat, Temperature, and Thermodynamics

Covers temperature scales, heat transfer modes, and the laws of thermodynamics. Connects thermal physics to chemical reaction energetics in later chapters.

Lesson 2 • Wave Properties and Sound

Defines wave parameters, superposition, and sound wave behaviour. Provides the wave model needed for optics and quantum chemistry discussions.

Lesson 3 • Optics and Electromagnetic Waves

Explores light as an electromagnetic wave, reflection, refraction, and lens behaviour. Bridges wave physics to the electromagnetic spectrum used in spectroscopy.

Lesson 4 • DC Circuits and Ohm's Law

Applies Ohm's law, Kirchhoff's rules, and series-parallel analysis to DC circuits. Provides quantitative tools for electrochemistry and instrumentation topics.

Lesson 1 • Ionic and Covalent Bonding

Distinguishes ionic from covalent bonding and explains Lewis structures. Connects bond type to physical properties such as melting point and conductivity.

Lesson 2 • Electron Configuration and Periodicity

Covers quantum numbers, orbital filling rules, and periodic table trends. Enables prediction of reactivity, ionisation energy, and electronegativity.

Lesson 3 • Nomenclature and Formula Writing

Teaches systematic naming of ionic, covalent, and acid compounds. Provides the chemical language required for stoichiometry and reaction equations.

Lesson 4 • Atomic Theory and Subatomic Particles

Traces the development of atomic models and defines protons, neutrons, and electrons. Grounds all subsequent chemistry in the structure of matter.

Lesson 1 • Solutions, Concentration, and Colligative Properties

Covers molarity, molality, dilution, and colligative properties of solutions. Connects solution chemistry to titration and industrial process calculations.

Lesson 2 • Acids, Bases, and Electrochemistry

Covers pH, buffer systems, acid-base titrations, and redox electrochemistry. Completes quantitative chemistry with analytical and industrial applications.

Lesson 3 • Types of Chemical Reactions

Classifies synthesis, decomposition, single- and double-displacement, and combustion reactions. Builds pattern recognition for predicting products and balancing equations.

Lesson 4 • Chemical Equilibrium and Kinetics

Introduces equilibrium constants, Le Chatelier's principle, and reaction rate factors. Provides tools for optimising reaction conditions in applied chemistry.

Lesson 5 • Thermochemistry and Reaction Energetics

Applies enthalpy, Hess's law, and calorimetry to quantify energy changes in reactions. Links thermal physics concepts to chemical bond energy and reaction spontaneity.