Math Tuition · Sec 1 · Sec 2 · Sec 3 · Sec 4 · JC 1 · JC 2

Math Tuition: Sequence of Teaching Topics

See exactly what our Math classes cover across Sec 1 to JC 2 — aligned to MOE teaching sequences, with personalised pacing where needed.

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Short answer: what is this Math topic sequence?

This Math topic sequence is Future Academy’s centre teaching sequence for Secondary 1 to JC 2 Mathematics. It helps Singapore students and parents see how foundational topics such as algebra, graphs and geometry build toward O-Level, IP and H2 Math problem-solving. Actual class order may be adjusted by the teacher based on school pace and class readiness.

Structured & School-Aligned

How Our Math Syllabus Is Organised

Our Math tuition classes are designed to align with — or stay slightly ahead of — the teaching sequence used in school, wherever possible. This means your child can consolidate what they have learnt in class, get a head start on upcoming topics, or target revision where it matters most.

Please note that a 100% match with all schools is not always possible, as different schools may follow a different sequence. Our tutors are experienced with the curriculum across many schools and can adjust lesson focus when needed.

IP School Classes — Available Now

We run selected classes specifically designed for students in IP schools, matching the rigour and curriculum of Integrated Programme schools. Enquire with us to find out which IP classes are currently running.

From 2022 Onwards

Sequence of Teaching Topics (Mathematics)

Select your level below to see the topics we cover in teaching order. Your class may move faster or slower depending on progress and school pace.

Lower secondary Math builds the foundations for algebra, geometry, and problem-solving used throughout O Level (E Math / A Math) and beyond. Students strengthen fundamentals and learn to present clear working.

Secondary 1
Jan – Mar
  • Arithmetic and Numerals — Real numbers; factors, multiples and indices; square roots and cube roots; approximation and estimation
  • Algebra I — Algebraic expressions; basic rules of algebra; expansion and factorisation; linear equation
Review 1
Apr – Jun
  • Number Pattern — Terms in a sequence; formula for general term
  • Linear Graph — Cartesian coordinates; gradient; equation of a line; simultaneous equation
  • Geometry on Angles — Angle names; angles in parallel lines; angles on a straight line; angles at a point
  • Mensuration — Perimeter and area; surface area and volume; use of Pythagoras’ theorem
Review 2
Jul – Sep
  • Statistics I — Types of statistical charts; measures of central tendency
  • Arithmetic Problems — Percentages; ratio and rate; scales and maps
  • Constructions — Perpendicular bisector; angle bisector
Review 3
Oct – Dec
  • Revision Papers
  • Algebra II — Algebraic manipulations; quadratic factorisation; quadratic equations
  • Quadratic Graphs — Features of a quadratic graph; sketching a quadratic graph; applications
  • Congruency and Similarity — Congruency tests; similarity tests
Secondary 2
Jan – Mar
  • Algebra II — Make the subject; quadratic factorisation; completing the square; general formula; quadratic word problems
  • Quadratic Graphs — Features of a quadratic graph; line of symmetry; sketching a quadratic graph; applications
Review 1
Apr – Jun
  • Inequalities I — Linear inequalities
  • Variations — Direct and inverse relations
  • Simultaneous Equations II — Linear and non-linear
  • Congruency and Similarity II — Congruency tests; similarity tests; areas and volumes
  • Indices — Index notation; standard form; simple surds
Review 2
Jul – Sep
  • Trigonometry I — Right-angled triangle; trigonometric ratios; angles of elevation and depression; area of triangle; applications
  • Probability — Concept of probability; possibility diagram and tree diagram; Venn diagram
Review 3
Oct – Dec
  • Revision Papers
  • Properties of Circles — Chord theorems; angle theorems
  • Statistics II — Measure of variation
  • Matrices — Determinants
  • Quadratic Expressions
  • Indices and Surds — Indices as exponents; properties of exponents; exponential graphs; surds properties; square root graph; applications
  • Logarithms — Introduction
Book Sec 1–2 Math Lessons

Upper secondary Math covers the full MOE O Level Elementary Math (E Math) and Additional Math (A Math) syllabi. IP schools may accelerate selected topics, so your class sequence can be adjusted where needed.

Secondary 3
Jan – Mar
  • Indices, Surds and Logarithms — Exponents vs. logarithms; properties of logarithms; logarithmic graphs; revisit surds; applications
  • Graphs — Revisit linear and quadratic graphs; power graphs; transformation of graphs
Review 1
Apr – Jun
  • Modulus Functions — Solving modulus equations; modulus graphs
  • Quadratic Functions — Concept of domain; review determinant and applications
  • Remainder & Factor Theorems — Remainder theorem; factor theorem; long division; solving cubic equations
  • Circular Measure — Arc length; areas of sector and segment
Review 2
Jul – Sep
  • Trigonometry II — Trigonometric ratios in quadrants; trigonometric equations; Pythagorean identities
  • Trigonometric Applications — Sine rule and cosine rule; bearings; angles of elevation and depression
  • Trigonometric Graphs — Sine, cosine and tangent graphs; amplitude, period, principal axis
Review 3
Oct – Dec
  • Equations of Circle
  • Trigonometric Identities II — Addition formulas; double angle formulas; revision on trigonometry
Secondary 4
Jan – Mar
  • Coordinate Geometry — Distance between two points; perpendicular lines; collinear points; shoelace method for area; recap equation of a circle; applications
  • Binomial Theorem
  • Trigonometry III — Factor formulas; revise trigonometry
Review 1 — Review selected Sec 3 topics
Apr – Jun
  • Proof in Plane Geometry — Revision on congruency and similarity; proof problems on circle properties
  • Vectors — Features of vectors; operations on vectors; applications
  • Differentiation I — Limits; gradient of a curve; first principles (algebra); rules of differentiation (algebra)
  • Differentiation II — Rules of differentiation (trigonometry); rules of differentiation (exponential & log)
Review 2
Jul – Sep
  • Applications of Differentiation — Stationary point and its nature; tangent and normal; rate of change; maximum and minimum
  • Integration — Integration as a reversal of differentiation; rules of integration; applications of integration to area; applications of integration to kinematics
  • Final Revision
Oct – Dec
  • Final Revision
Book Sec 3-4 Math Lessons

JC 1 topics covered in our H2 Math tuition, aligned to the MOE A Level H2 Mathematics syllabus. Lessons build strong conceptual foundations alongside systematic methods and clear exam-style working.

Term 1 & 2
Jan – Mar
  • Sequences and Series — Arithmetic and geometric progressions; general sequence and convergence; sigma notation; properties of series and convergence; applications
  • Graphing Techniques — Features of graphs; using the graphing calculator; geometrical transformations of graphs; modulus/reciprocal/gradient graphs
Review 1
Apr – Jun
  • Functions — Domain and range; inverse functions; composite functions
  • Inequalities and Equations — Number line method; graphing calculator method; system of linear equations
  • Vectors — Vectors in 3D; scalar and vector product; projection; equation of a line; equation of a plane; applications
Review 2
Term 3 & 4
Jul – Sep
  • Differentiation — Review of differentiation rules and limits; implicit differentiation; higher order differentiation; applications of differentiation
  • Integration — Review of integration rules; standard form expressions; special form expressions (MF26); substitution; by parts (LIATE); applications to area and volume
Review 3
Review 4 — Revision by topics and promo papers
Oct – Dec
  • Maclaurin Series — Application of differentiation
  • Differential Equation — Application of integration
  • Complex Numbers — Cartesian form and properties; modulus and argument; polar form and properties; applications
Book JC 1 H2 Math Lessons

JC 2 topics complete the H2 Math syllabus and focus heavily on application and exam readiness. Lessons integrate earlier topics to build multi-step problem-solving, speed, and accuracy for A Level Paper 1 and Paper 2.

Term 1 & 2
Jan – Mar
  • Permutation and Combination — Counting by listing; box method; connecting permutation and combination; selection from a set; slot/group methods; complementation method; applications
  • Probability — Probability tree and Venn diagram; conditional probability
Review 1
Apr – Jun
  • Discrete Random Variables — Probability distribution; mean and variance and properties
  • Binomial Distribution — Probability distribution formula; mean and variance; mode (manual and GC methods)
  • Normal Distribution — Normal distribution graph; mean and variance and properties; mode and median; inverse normal; applications
Term 3 & 4 (Revision & Exam Prep)
Revision & Exam Prep
  • Full-syllabus revision & timed practice
  • A Level past paper strategy (Paper 1 & Paper 2)
  • Method marks, common traps & error analysis
  • Mock exams & personalised feedback
Book JC 2 H2 Math Lessons
Revision Planning

How to Use This Math Topic Sequence

Use this sequence as a planning guide, not only a checklist. Students should confirm prerequisite topics before moving into harder chapters, then use topical practice to identify weak methods before attempting mixed papers.

Start with foundations

Check arithmetic, algebra manipulation, indices, equations and graph reading before attempting A Math or H2 Math extension topics.

Find weak methods

Look for repeated errors in expansion, factorisation, sketching, trigonometry, calculus or statistics before moving to full-paper practice.

Practise by topic first

Use topical practice to isolate method gaps, then move into mixed revision sets, timed papers and exam-condition checking.

Related Math Pathways

Use this Math topic sequence alongside our IP Math tuition, O-Level Math tuition, H2 Math tuition, IP tuition, O-Level tuition and A-Level tuition pages.

FAQ

Math Topic Sequence FAQ

Students should use the sequence to check prerequisite topics first, then practise topical questions before attempting mixed papers. Algebra, graphing, trigonometry and calculus often depend on earlier methods, so weak foundations should be fixed early.

Yes. The sequence covers Secondary 1 to JC 2 Math progression and is useful for IP, O-Level and H2 Math planning. IP students may move faster or meet extension questions earlier, while O-Level and H2 students can use it to organise exam revision.

Math topics build on earlier skills. A student who struggles with factorisation, indices, equations or graph reading may also struggle with quadratic functions, trigonometry, differentiation and statistics. Checking prerequisites helps revision become more targeted.

Yes. This is our centre teaching sequence, but the teacher in charge may adjust the actual class order based on school pace, class readiness, upcoming exams and the topics students need most urgently.

Parents can compare the sequence with the student’s school topics, note weaker areas and submit the booking form with the student’s level and subject needs. An education consultant can then advise on suitable Math class options.

Personalised for Each Student

Customisable Lesson Plans

Every student has a different starting point. Depending on each student’s needs, strengths, and weaker areas, our tutors adjust the pace and emphasis of topics within lessons. This may mean spending more time on a difficult chapter, revisiting earlier foundations, or fast-tracking ahead when a student is ready.

Our maximum teacher-to-student ratio of 1:6 makes this possible — there is enough individual attention for tutors to notice gaps and respond to them in the same lesson.

Want even more flexibility? One-on-one classes available.

Request specific topics, set your own pace, and receive undivided attention from your tutor. One-on-one tuition is available subject to teacher and timing availability. Additional class fees apply. WhatsApp us to enquire.

School-Aligned Teaching

Topics follow the MOE O Level and A Level syllabus sequences, keeping lessons relevant to what is happening in school.

Maximum 1:6 Class Ratio

Our small-group model means tutors can adapt pace and focus for the students in the room — every lesson, every session.

Progress-Led Pacing

Tutors allocate more time to topics where students need it most, and move faster through areas the class has mastered.

Begin Your Journey to Better Grades

You have seen the topics. Now take the next step — book your Math lessons and get structured support from our teaching team. Still have questions? WhatsApp or call us and we will help you find the right class.

  • Teaching team led by Mr Jason Lau and Ms Yvonne Chen
  • Maximum teacher-to-student ratio of 1:6
  • Bugis · Bukit Timah · Braddell · Online classes available
Book Math LessonsWhatsApp: +65 8457 7888

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