Lesson format
Weekly 1.5-hour live online class
Targeted online practice with instant marking supports work between lessons.
INTEGRATED PROGRAMME MATHEMATICS
Support for accelerated curricula at every Integrated Programme school in Singapore.
IP students bypass the O-Level — and from 2027, the Singapore-Cambridge SEC — exam, moving directly from Sec 1 through Sec 4 and on to A-Level H2 Math at JC. Our weekly classes cover the full IP Mathematics scope, including the enrichment topics that IP schools layer on top of the standard secondary curriculum.
Choose your Mathematics level
Sec 1 IP
Accelerated foundations: numbers, algebra, ratio, linear and quadratic functions, geometry, sets and data handling — at IP pace.
Sec 2 IP
Bridging to A-Math: polynomials, indices and surds, coordinate geometry, trigonometry, plane geometry proofs, and statistical reasoning.
Sec 3 IP
A-Math depth: logarithms, polynomials, modulus / exponential / logarithmic functions, further trigonometry, and matrices.
Sec 4 IP
Calculus, vectors, and pre-JC readiness: differentiation, integration, vectors in 2D, binomial theorem, and probability.
What we cover, by year
IP schools design their own schemes of work, but the broad shape is consistent across top IP schools: Sec 1–2 covers the E-Math syllabus at accelerated pace with enrichment (sets, financial literacy, plane geometry proofs); Sec 3 builds A-Math depth (logarithms, polynomials, modulus / exponential / logarithmic functions, further trigonometry, matrices); Sec 4 introduces calculus, vectors and probability — bridging directly into A-Level H2 Math, the IB Diploma, or NUS High's modular series. We adapt the topical scheme below to your child's specific school.
Secondary 1 — accelerated foundations
Numbers: primes, HCF/LCM, integers, rationals, real numbers, approximation and estimation
Basic algebra and manipulation, linear equations and fractions, simple inequalities
Ratio, rate and speed, applications in practical situations
Functions and graphs (linear and quadratic)
Geometry: angles, polygons, constructions, perimeter, area, volume — and Pythagoras' theorem
Sets (set notation, Venn diagrams) and statistical data handling
Secondary 2 — bridging to A-Math
Polynomials, expansion and factorisation, quadratic equations and algebraic manipulation
Further indices, surds, coordinate geometry and linear graphs, simultaneous linear equations
Pythagoras' theorem, numerical trigonometry, angles of elevation and depression
Congruency, similarity, geometrical properties of circles and plane geometry proofs
Mean, standard deviation, distribution of data, correlation and lines of best fit
Arithmetic problem solving and financial literacy
Secondary 3 — A-Math depth
Advanced algebraic manipulation, surds, indices and logarithms
Equations and inequalities, polynomials (factor and remainder theorems), partial fractions
Relations, functions, modulus, power, exponential and logarithmic functions
Coordinate geometry: points, lines, slopes, parabolas and circles
Further trigonometry, trigonometric functions, identities and equations
Introduction to matrices
Secondary 4 — calculus, vectors, and pre-JC readiness
Further trigonometric identities, mensuration: arc length, sector area, radian measure
Binomial theorem
Differentiation: first principles, rules, tangents, normals, rates of change, maxima and minima
Integration: techniques, definite integrals, area of a region, kinematics
Vectors in two dimensions, position vectors and vector operations
Probability: independent/dependent events, mutually exclusive events, conditional probability and tree diagrams
IP syllabi vary in sequencing across schools, but the broad shape is consistent. Our class teaches the full IP Mathematics scope, and students bring their school work and assessments to lessons.
Common challenges for IP students
Integrated Programme students at every IP school often share these pressure points:
Faster pace and higher conceptual demand
IP schools compress the G3 / O-Level Sec 1–4 syllabus into the first two years and add A-Math plus early H2 Math in Sec 3–4. Foundation gaps that mainstream students could fix in Sec 3 compound much faster inside the IP track.
Pace and depth that mainstream tuition does not match
IP schools cover content faster and demand more reasoning than the standard secondary syllabus. Generic A-Math or O-Level tuition often misses the IP context entirely.
Reasoning and proof, not just procedure
IP schools assess understanding of why a method works, not only whether a student can apply it. Top schools introduce mathematical reasoning, set theory, and induction in Lower Secondary — content that mainstream G3 students only meet at JC.
Transition pressure into Year 5–6
For most IP students, JC1 is the first formal external assessment pathway — A-Level H2 Math. Students who carried Sec 3–4 gaps quietly often stall at JC1, with a much shorter runway to fix the gap before exams.
How DeepThink helps IP students
DeepThink Math support is built around the reality that IP moves faster and goes deeper than the mainstream secondary syllabus:
Built around the IP Mathematics scope
Our class covers the topics IP schools include — including the enrichment that IP schools layer on top of the standard syllabus (set theory, function notation, proof, induction). Students bring their school worksheets and assessments to lessons.
Close foundation gaps before they compound
Targeted online practice with instant marking surfaces specific weaknesses week by week, so a Sec 1 indices gap or a Sec 3 polynomial gap is fixed before it shows up inside a school assessment.
Match the depth IP schools actually expect
Lessons treat the enrichment that IP schools layer on top of the standard syllabus — set theory, function notation, proof, induction — as core content, not optional extras. Students arrive at school assessments prepared for the way IP papers are actually written.
Bridge into A-Level H2 Math at JC
Sec 4 work covers calculus, vectors, distributions, and cross-topic problem solving so students enter JC without a transition gap and arrive ready for the demands of A-Level H2 Math.
Students stay confident and competent throughout the IP journey, prepared for both current school assessments and the A-Level H2 Math pathway at JC.
Program facts
What families should know about Integrated Programme support
The details parents usually want before deciding whether to book a trial.
Syllabus focus
Integrated Programme Mathematics
Full curriculum and chapter list shown in the syllabus section above.
Pricing
$30 per live class
Same fee across levels and streams.
Trial
Free trial class available
Parents can see the teaching pace, structure, and student experience before committing.
Best fit
IP students managing accelerated school curricula and deeper conceptual expectations.
Decision support
When Integrated Programme support is the right fit
These are the situations where extra support tends to make the biggest difference.
Faster pace and higher conceptual demand
IP schools compress the G3 / O-Level Sec 1–4 syllabus into the first two years and add A-Math plus early H2 Math in Sec 3–4. Foundation gaps that mainstream students could fix in Sec 3 compound much faster inside the IP track.
Pace and depth that mainstream tuition does not match
IP schools cover content faster and demand more reasoning than the standard secondary syllabus. Generic A-Math or O-Level tuition often misses the IP context entirely.
Reasoning and proof, not just procedure
IP schools assess understanding of why a method works, not only whether a student can apply it. Top schools introduce mathematical reasoning, set theory, and induction in Lower Secondary — content that mainstream G3 students only meet at JC.
If any of these patterns sound familiar, this is likely the right level of support for your child — a trial class is a good next step.
Frequently asked questions
Clear answers for parents
What is the Integrated Programme (IP) in Singapore?
The Integrated Programme is a six-year secondary-to-pre-university pathway offered by selected high-performing schools that lets students bypass the O-Level — and from 2027, the Singapore-Cambridge SEC — examination. Students enter at Secondary 1 and move continuously through to pre-university, sitting their first national examination at A-Level (or the IB Diploma at ACS(I) and SJI). The freed curriculum time is used for deeper learning, research projects, leadership development, and bilingual or specialist tracks. Each IP school designs its own scheme of work, so pacing and topic order vary across the seventeen IP schools.
Which Singapore schools offer the IP, and what's the difference between them?
Seventeen schools currently run the IP: Raffles Institution, Raffles Girls' School (Secondary), Hwa Chong Institution, Nanyang Girls' High School, Anglo-Chinese School (Independent), Catholic High School, Cedar Girls' Secondary School, CHIJ St. Nicholas Girls' School, Dunman High School, Methodist Girls' School (Secondary), National Junior College, NUS High School of Mathematics and Science, River Valley High School, Singapore Chinese Girls' School, St. Joseph's Institution, Temasek Junior College, and Victoria School. Most lead to the GCE A-Level. ACS(I) and SJI offer the IB Diploma at the pre-university stage instead of (or alongside) A-Levels. NUS High issues its own NUS High School Diploma. NJC, TJC and Catholic Junior College accept students into IP at JC1 as well as Sec 1, so two routes exist into the same JC-IP track.
Do IP students sit O-Levels or the new Singapore-Cambridge SEC?
No. IP students bypass the national secondary exam entirely. From 2027 the Singapore-Cambridge SEC replaces O-Level, N(A)-Level and N(T)-Level for G1, G2 and G3 students under Full Subject-Based Banding, but IP students do not sit it. Internal school assessments across Sec 1–4 (and JC1–JC2 where applicable) serve the same gatekeeping function — they shape subject combinations, scholarship eligibility, and JC progression for students at schools without an affiliated junior college.
How do students get into IP — PSLE, DSA, or JC entry?
Three pathways. PSLE posting: top PSLE Achievement Level scorers can apply to IP schools that participate in the S1 Posting Exercise. Direct School Admission (DSA-Sec): Primary 6 students apply between May and June based on demonstrated talent in academics, sports, the arts, leadership, or specialist domains, with trials and interviews running July–August and confirmed placements before PSLE results. NUS High admits exclusively through DSA-Sec. JC-IP entry: students from non-IP secondary schools who do well at O-Level (or SEC from 2027) can apply to NJC, TJC or Catholic JC for the three-year JC-IP track from JC1.
What PSLE Achievement Level score do you need for IP schools?
Cut-offs vary by school and by posting cycle. Indicative recent ranges for non-affiliated PSLE entrants are AL 4–6 for Raffles Institution, Raffles Girls' (Secondary), Hwa Chong Institution, and Nanyang Girls' High; AL 4–8 for Dunman High, ACS(I), Cedar Girls', Singapore Chinese Girls', Methodist Girls' (Secondary), and CHIJ St. Nicholas Girls'. Hwa Chong and Nanyang Girls' also require a Distinction or Merit in Higher Chinese. NUS High does not have a PSLE cut-off because it admits only through DSA-Sec. Cut-offs reflect the last admitted student in each cycle and shift year to year — the MOE SchoolFinder publishes the most current numbers.
How is IP Math different from G3 (Express) Math?
Two differences — pace and depth. In Sec 1–2, IP schools broadly track the G3 / O-Level E-Math syllabus but move faster and add enrichment that mainstream G3 does not cover: set notation and Venn diagrams, financial literacy, plane geometry proofs. By Sec 3–4, IP schools have moved through the equivalent of O-Level A-Math and begin H2 Math territory — Sec 3 builds A-Math depth (logarithms, polynomials, partial fractions, modulus / exponential / logarithmic functions, further trigonometry, matrices), and Sec 4 introduces calculus (differentiation, integration, kinematics), vectors, and probability. IP assessments also favour unfamiliar problem contexts and proof-style reasoning over routine procedural questions.
What makes NUS High School different from other IP schools?
NUS High is Singapore's only specialist independent school dedicated to Mathematics and Science. It runs a six-year IP that leads to the NUS High School Diploma — a school-based qualification accepted for direct admission to NUS, NTU, SMU and many overseas universities — rather than the GCE A-Level. Admission is exclusively through DSA-Sec (no S1 posting), the curriculum is modular so students progress at different paces in Math and Science, and triple Sciences (Biology, Chemistry, Physics) are taught from Year 1. Most graduates pursue STEM degrees, and the school is a regular source of Olympiad medallists.
Do ACS(I) and SJI follow the IP or the IB Diploma?
Both — they are six-year IP schools whose pre-university qualification is the IB Diploma, not the GCE A-Level. Students enter at Sec 1 through PSLE posting or DSA-Sec, follow IP-style integrated curricula in Sec 1–4, and then take the IB Diploma in Year 5–6. ACS(I) also offers a smaller A-Level track for students who prefer it. This is why DeepThink models these two schools under the IP–IB variant: the secondary years are IP-paced, but the senior years are IB-graded.
Can a student transfer out of IP if it is not the right fit?
Yes. Most IP schools allow lateral transfer to a mainstream Sec 4 cohort to sit O-Levels (or SEC from 2027), typically at the end of Sec 2 or end of Sec 4, subject to school assessment. The decision is usually triggered by sustained academic difficulty or a change in post-secondary preference. Transfer conversations are treated as a fit issue rather than a failure outcome. Parents who see marks declining across multiple terms should raise this with the school's pastoral team early in the year rather than waiting until the assessment cycle is over.
How does DeepThink support different IP school syllabi?
There is no single IP curriculum — each school designs its own scheme of work — so DeepThink classes work from the student's actual school materials, topical scheme and assessments. In Sec 1–2 we focus on closing pacing gaps and reinforcing the enrichment topics the school expects (sets, financial literacy, plane geometry proofs). In Sec 3–4 we work through A-Math depth and the calculus / vectors / probability that IP schools introduce in Sec 4, in step with the school's calendar, so students enter JC1 or pre-A-Level preparation without the typical IP-to-JC transition wobble. Whether the school is RI, HCI, NUS High, ACS(I), SJI, or any of the other twelve IP schools, support adapts to the actual scheme of work.
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Integrated Programme (IP) Schools in Singapore
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