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Eclat Institute

Integrated Programme (IP) Maths Tuition

Ace your IP Maths school exams and A-Levels with us

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What our students say

  • He scored full marks for math.

    — Parent of RI Y4 Student

  • My daughter is so happy that she got an A, though she said many of her classmates got A+. But to her, it is a big jump from failing. We would like to push her slowly to achieve A+. Today, her teacher asked her to go to the board and answer the question on factorisation using the cross method. She knew how to do it and got it correct. She finds it so satisfying.

    — Parent of DHS Y2 Student

  • I got 76/80 for math and 84.5/100 for science.

    — Parent of HCI Y2 Science

  • I got 26/30 for math 2 test 1. Top 3 in my class.

    — NYGH Y2 Lower Secondary Student

  • I got my math results today, got 38 out of 40.

    — HCI Y2 Math Student

Frequently Asked Questions

  • How is the IP Maths curriculum different from mainstream O-Level Maths, and how do you cater to that?

    IP syllabi compress foundational topics and dive earlier into higher-order proofs, functions and statistics. Our scheme mirrors this pacing, introducing A-level techniques (e.g., binomial proof, parametric equations) gradually from Year 3 onward.

  • Do you teach both IP Mathematics and IP Additional Mathematics strands?

    Yes—our integrated track inevitably covers what O-Level calls A-Math; differentiation and integration appear by mid-Year 3.

  • What diagnostic tools do you use to pinpoint gaps?

    We administer a pre-assessment. We test students on the fundamental concepts and techniques in mathematics according to the MOE curriculum. We also do a qualitative interview with the student. Based on our assessment, we focus on the student weak points so that the student can build on strong fundamentals and feel motivated on his/her progress.

  • How do you nurture reasoning, not rote formula application?

    Students routinely write “explain-your-thinking” steps; we coach metacognitive reflection so they articulate why a technique, not just how.

  • Can my child move between class bands if their ability changes?

    After each term, we may recommend shifting to a faster or steadier track; transitions are smooth because all classes follow the same conceptual sequence.

  • Is calculator fluency taught explicitly?

    Yes—graphing calculator (TI-84 / Casio fx-CG50) shortcuts are embedded into lessons, as Integrated Programme (IP) exams now assume proficiency.

  • How do you prepare Year 4 students for the leap to IP Year 5 (JC 1) H2 Maths?

    Our Year 4 “Head-Start” module previews vectors in 3-D, Maclaurin series and introductory proofs, so students enter IP Year 5 (JC 1) able to follow the accelerated pace.

  • What is the student success rate?

    Across 2020 - 2025, 9 in 10 students scored As and Bs in Maths. 6 in 10 students scored A1 or A2 in Maths. Those starting at a failing grade averaged a 2-band climb within one semester.

  • Are there hidden material or registration fees?

    No hidden charges. Course notes, worksheets and portal access are included; optional contest-prep packs incur separate, transparent fees.

  • What if your teenager dislikes Maths—how do you motivate them?

    We identify weaknesses that your teenager can quickly improve on. Motivation often rises with concrete progress.

  • Do you coordinate with Physics tuition timing to avoid clashes?

    Yes. Physics and Maths timetables are staggered so IP students can attend both without back-to-back cognitive overload.

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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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