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IP Maths Tuition

Build strong analytical skills with expert IP tutors.

Syllabus Breakdown

YearKey Topics Covered
Year 1 (Sec 1)
  • Numbers & algebra foundations (percentages, ratio, rate)
  • Simple equations & algebraic manipulation
  • Geometry fundamentals: angles, triangles & polygons
  • Introductory statistics: data collection & representation
Year 2 (Sec 2)
  • Quadratic expressions & factorisation
  • Linear & simultaneous equations; coordinate graphs
  • Basic trigonometry (sine, cosine, tangent)
  • Elementary probability & data analysis
Year 3 (Sec 3)
  • Polynomials; Remainder & Factor theorems
  • Functions, graphs of polynomial/exponential/log curves
  • Logarithms & exponentials
  • Advanced trigonometric identities & equations
  • Vectors in 2-D; permutations & combinations; binomial theorem
Year 4 (Sec 4)
  • Limits & differentiation techniques
  • Applications of differentiation (optimisation, kinematics)
  • Integration basics & area under a curve
  • Probability distributions: binomial & normal
  • Coordinate geometry of circles; vectors in 3-D
Year 5 (JC 1)
  • Sequences & series (AP, GP, sigma notation)
  • Functions & graphing techniques incl. parametric forms
  • Advanced differentiation & integration techniques
  • Vectors in 3-D (lines & planes)
  • Binomial & Maclaurin series
  • Introduction to complex numbers
Year 6 (JC 2)
  • Integral calculus & differential equations
  • Complex numbers (polar form & De Moivre’s theorem)
  • Further vectors & 3-D geometry applications
  • Probability distributions & sampling (Poisson, normal)
  • Statistical inference: hypothesis testing, regression & correlation
  • Applications of calculus to mechanics & modelling
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