Weekly 1.5-hour live online class
Targeted online practice with instant marking supports work between lessons.
SEC 4 IB MATHEMATICS
Year 4 IB-track students continue with two parallel mathematics courses. Core Math covers algebraic manipulation, set theory, congruency and similarity, circle theorems, arc length and sector area, vectors in 2D, linear law, three statistics units, mathematics in practical situations, graphs in practical situations, number patterns, and probability. Advanced Math is the calculus year — binomial theorem, further trigonometric identities, differentiation, rates of change, maxima and minima, derivatives of trigonometric, exponential and logarithmic functions, integration, and applications of integration including area between curves and kinematics.
Algebraic Manipulation
Set Theory: notation, language, Venn diagrams
Congruency and Similarity: congruent and similar triangles, area and volume of similar figures
Circle Theorem: symmetric and angle properties of circles
Arc Length, Area of Sector, and Radian Measure
Vectors in Two Dimensions: vectors on the coordinate plane, applications in geometry
Linear Law
Statistics (I): frequency distribution, histograms, frequency polygons; mean, median, mode
Statistics (II): cumulative frequency curves; box-and-whisker diagrams
Statistics (III): standard deviation
Mathematics in Practical Situations: profit and loss, simple and compound interest, hire-purchase, utility bills, money exchange, taxation
Graphs in Practical Situations: tables, charts, and graphs; distance–time and speed–time graphs
Number Patterns
Probability
Binomial Theorem: introduction and binomial expansion
Further Trigonometric Identities: addition formulae and double-angle formulae
Differentiation: first principles, basic differentiation, chain rule, product rule, quotient rule, equations of tangent and normal
Rates of Change: increasing and decreasing functions; rates of change
Maxima and Minima: stationary points; maxima and minima problems
Derivatives of Simple Trigonometric Functions
Derivatives of Exponential and Logarithmic Functions
Integration: basic integration, linear factor, trigonometric functions, exponential functions, 1/x, definite integrals
Application of Integration — Area of a Region: area between a curve and an axis
Application of Integration — Kinematics: displacement, velocity, acceleration
The Year 4 Core and Advanced Mathematics syllabus is consistent across local IB-track schools.
Year 4 brings calculus into the picture and is the last year before the IB Diploma. Students often share these pressure points:
Differentiation rules, rates of change, maxima and minima, integration, area between curves, and kinematics — Year 4 Advanced packs them in. Students who treat them as a series of formulae rather than a coherent system tend to plateau.
Statistics (three units), set theory, circle theorems, vectors, probability — Core Math is wide. Students juggling that with calculus often under-prepare for one or both.
IB-style questions reward clear definitions, justified working, and full solutions. Students who jump to answers lose marks even when the answer is right.
AA and AI start in Year 5, building straight on Year 4 calculus and statistics. Gaps now mean catch-up later, against IB Diploma deadlines.
Our Sec 4 IB class is built around the calculus year and the IB Diploma transition:
Differentiation, integration, and their applications fit together. We make those connections explicit so students reason from principles, not from a list of formulae.
The Year 4 Core and Advanced Mathematics syllabus is broadly consistent across local IB schools. Our class teaches that scope directly.
Statistics, set theory, vectors, and probability all need targeted practice. We sequence Core revision so nothing is left under-prepared at exam time.
Year 4 is the runway into AA / AI. We focus on the calculus, statistics, and reasoning skills that Year 5 IB classes assume from day one.
Year 4 is the launching pad for the IB Diploma. We make sure students take off cleanly.
The details parents usually want before deciding whether to book a trial.
Targeted online practice with instant marking supports work between lessons.
Full curriculum and chapter list shown in the syllabus section above.
Same fee across levels and streams.
Parents can see the teaching pace, structure, and student experience before committing.
These are the situations where extra support tends to make the biggest difference.
Differentiation rules, rates of change, maxima and minima, integration, area between curves, and kinematics — Year 4 Advanced packs them in. Students who treat them as a series of formulae rather than a coherent system tend to plateau.
Statistics (three units), set theory, circle theorems, vectors, probability — Core Math is wide. Students juggling that with calculus often under-prepare for one or both.
IB-style questions reward clear definitions, justified working, and full solutions. Students who jump to answers lose marks even when the answer is right.
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.
Secondary 4 IB students who need clear weekly structure and targeted practice.
Students attend a 1.5-hour live online class each week and then work through targeted online practice with instant marking and solutions between lessons.
Year 4 IB-track students continue with two parallel mathematics courses. Core Math covers algebraic manipulation, set theory, congruency and similarity, circle theorems, arc length and sector area, vectors in 2D, linear law, three statistics units, mathematics in practical situations, graphs in practical situations, number patterns, and probability. Advanced Math is the calculus year — binomial theorem, further trigonometric identities, differentiation, rates of change, maxima and minima, derivatives of trigonometric, exponential and logarithmic functions, integration, and applications of integration including area between curves and kinematics.
Yes. Families can start with a trial class to see the teaching pace, structure, and level fit before committing.
We keep parents informed on what was covered and where their child should focus. If we spot persistent gaps, we flag them early — not just before exams.
Experience our teaching approach firsthand. No commitment required.
Free trial • No credit card required