IAL Mathematics: on a deep charcoal slate plate, a three-dimensional mesh surface model, a three-arrow vector triad on a brass hub, a stack of decreasing discs threaded on a steel bar, an amber projectile arc ribbon, a bell-curve relief plate, a graphing calculator showing a rising curve and a brass compass.

Rebuild core pure mathematics, then prepare systematically for P1-P4 and the applied units.

  • Trace repeated mistakes back to gaps in algebra, functions, trigonometry or calculus
  • Choose algebraic, graphical, calculus or numerical methods from the structure of the problem
  • Protect method marks through complete working, consistent notation and interpretation
  • Turn error patterns into targeted reattempts before returning to timed unit papers

Course details

Course highlightsHide Course highlights

Course highlights

Repair the prerequisite chain, not only the current topic Later-unit mistakes often begin with an earlier weakness in algebra, functions, trigonometry or calculus.
Trace the dependency
Work backwards from the failed step to the earliest insecure concept or manipulation.
Separate concept from execution
Identify whether the problem is understanding, algebraic control, notation or calculator use.
Rebuild with transfer
Move from a short foundation task to a current-unit problem that uses the same idea.
Choose methods from structure instead of memorised templates Recognise the mathematical form, constraints and target before deciding on an algebraic, graphical, calculus or numerical route.
Represent the problem
Translate between equations, graphs, diagrams and verbal conditions before calculating.
Compare viable routes
Judge exact, approximate, pure and applied methods by efficiency and completeness.
Explain the choice
State the condition or feature that makes a theorem, identity or technique appropriate.
Turn working into a complete mathematical argument Protect method marks through clear notation, justified steps and interpretation rather than a sequence of unexplained calculations.
Maintain notation
Keep variables, domains, vectors, constants and exact values consistent.
Show decisive steps
Expose the transformations, assumptions and intermediate results on which the answer depends.
Interpret the result
Return to the question context, units, range or model limitation when required.
Use errors to plan the next revision cycle Replace undirected past-paper practice with targeted reattempts followed by timed transfer.
Classify the error
Record prerequisite, method, algebra, notation, calculator, interpretation and timing errors separately.
Reattempt deliberately
Redo the failed step without the solution, then solve a parallel question.
Test under paper conditions
Use a complete unit paper only after the underlying method is stable.
Course contentHide Course content

Course content

P1 · WMA11
Pure Mathematics 1
  • Algebra and functions
  • Coordinate geometry in the (x, y) plane
  • Trigonometry
  • Differentiation
  • Integration
Externally assessed written examination: 1 hour 30 minutes, 75 marks; calculator permitted.
P2 · WMA12
Pure Mathematics 2
  • Proof and algebraic methods
  • Sequences and series
  • Exponentials and logarithms
  • Trigonometry
  • Differentiation and integration
Externally assessed written examination: 1 hour 30 minutes, 75 marks; calculator permitted.
P3 · WMA13
Pure Mathematics 3
  • Algebra and functions
  • Trigonometry
  • Exponentials and logarithms
  • Differentiation
  • Integration
  • Numerical methods
Externally assessed written examination: 1 hour 30 minutes, 75 marks; calculator permitted.
P4 · WMA14
Pure Mathematics 4
  • Proof and further algebra
  • Binomial expansion and partial fractions
  • Differentiation and integration
  • Differential equations
  • Vectors
Externally assessed written examination: 1 hour 30 minutes, 75 marks; calculator permitted.
Applied-unit pathways
Two applied units complete the six-unit IAL Mathematics qualification.
  • M1 + S1
  • M1 + D1
  • M1 + M2
  • S1 + D1
  • S1 + S2
The selected pair follows the Pearson qualification combination rules and the student’s school or examination route.

Pricing

Course fees

4 lessons per month 90 minutes per lesson

Fees by level

All levels
HK$2,000/ 4 lessons
Opening course content