Grade 12 - Mathematics and Physical Sciences

Mathematics Physical Sciences

Term 1

Functions

  • Polynomial Functions
  • Rational Functions

Number Patterns

  • Sequences and Series
  • Sigma Notation
  • Arithmetic and Geometric Sequences

Finance, Growth, and Decay

  • Simple and Compound Interest
  • Exponential Growth and Decay
  • Depreciation

Term 1

Physics

  • Mechanics
    • Momentum and Impulse
    • Vertical Projectile Motion
  • Waves, Sound, and Light
    • Electromagnetic Radiation

Chemistry

  • Organic Chemistry
    • Hydrocarbons
    • Functional Groups
    • Organic Reactions

Term 2

Algebra

  • Exponents and Logarithms
  • Equations and Inequalities

Calculus

  • Introduction to Calculus
  • Limits and Continuity
  • Derivatives and their Applications
  • Integration and Applications of Integrals

Term 2

Physics

  • Electricity and Magnetism
    • Electrostatics
    • Electric Circuits
    • Electrodynamics

Chemistry

  • Chemical Change
    • Rates of Reaction
    • Chemical Equilibrium

Term 3

Trigonometry

  • Trigonometric Functions
  • Trigonometric Identities
  • Trigonometric Equations
  • Reduction Formulas
  • Compound Angles
  • General Solution of Trigonometric Equations

Euclidean Geometry and Measurement

  • Circle Geometry
  • Tangents to Circles
  • Angles and Polygons

Analytical Geometry

  • Coordinate Geometry
  • Properties of Geometric Figures

Term 3

Physics

  • Optical Phenomena and Properties of Materials
    • Photoelectric Effect
    • Dual Nature of Light

Chemistry

  • Acids and Bases
    • Lowry-Brønsted Theory
    • pH Scale
    • Titration
  • Electrochemical Reactions
    • Redox Reactions
    • Galvanic Cells
    • Electrolytic Cells

Term 4

Probability

  • Probability Rules
  • Counting Principles
  • Venn Diagrams and Probability
  • Mutually Exclusive Events
  • Independent Events

Statistics

  • Data Handling
  • Representing Data
  • Measures of Central Tendency and Dispersion
  • Standard Deviation and Variance

Term 4

Physics

  • Mechanical Work, Energy, and Power
    • Work-Energy Theorem
    • Conservation of Mechanical Energy

Chemistry

  • Quantitative Aspects of Chemical Change
    • Stoichiometry
    • Limiting Reactants
    • Yield and Percentage Yield

Continuous Topics

  • Problem Solving: Applied throughout the year in various contexts.
  • Reasoning and Proof: Emphasized in all topics.

Continuous Topics

  • Scientific Investigation and Practical Work: Integrated throughout the year.
  • Scientific Literacy and Communication: Emphasized in all topics.