Course details
Course highlights
- 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.
- 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.
- 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.
- 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 content
- P1 · WMA11
- Pure Mathematics 1
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- 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
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- 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
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- 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
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- 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.
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- 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 lessonFees by level
- All levels
- HK$2,000/ 4 lessons