SEC 4 IB MATHEMATICS

Bridge Year 4 directly into the IB Diploma pathway.

Year 4 of the IB-track Integrated Programme is the bridge into the IB Diploma. Core Math consolidates the upper secondary content — set theory, congruency and similarity, circle theorems, vectors, statistics — while Advanced Math introduces calculus: differentiation, rates of change, maxima and minima, integration, and kinematics. Our class follows the Year 4 IB-track curriculum so students arrive at Year 5 ready for AA or AI at HL or SL.
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What we cover (Year 4 Core + Advanced 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.

Year 4 Core Mathematics

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

Year 4 Advanced Mathematics

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.

Common challenges for Year 4 IB students

Year 4 brings calculus into the picture and is the last year before the IB Diploma. Students often share these pressure points:

Calculus arrives all at once

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.

Core breadth competes with Advanced depth

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 papers reward setup, not shortcuts

IB-style questions reward clear definitions, justified working, and full solutions. Students who jump to answers lose marks even when the answer is right.

Year 5 IB transition needs a clean handoff

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.

How DeepThink helps Sec 4 IB students

Our Sec 4 IB class is built around the calculus year and the IB Diploma transition:

Teach calculus as a connected system

Differentiation, integration, and their applications fit together. We make those connections explicit so students reason from principles, not from a list of formulae.

Built around the Year 4 IB-track scheme

The Year 4 Core and Advanced Mathematics syllabus is broadly consistent across local IB schools. Our class teaches that scope directly.

Match Core breadth without dropping depth

Statistics, set theory, vectors, and probability all need targeted practice. We sequence Core revision so nothing is left under-prepared at exam time.

Set up the IB Diploma transition

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.

Program facts

What families should know about Secondary 4 IB support

The details parents usually want before deciding whether to book a trial.

Lesson format

Weekly 1.5-hour live online class

Targeted online practice with instant marking supports work between lessons.

Syllabus focus

Secondary 4 IB 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

Secondary 4 IB students who need clear weekly structure and targeted practice.

Decision support

When Secondary 4 IB support is the right fit

These are the situations where extra support tends to make the biggest difference.

Calculus arrives all at once

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.

Core breadth competes with Advanced depth

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 papers reward setup, not shortcuts

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.

Frequently asked questions

Clear answers for parents

Who is Secondary 4 IB Math tuition for?

Secondary 4 IB students who need clear weekly structure and targeted practice.

What does weekly Secondary 4 IB support include?

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.

Which syllabus or exam does this Secondary 4 IB page cover?

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.

Can families start with a trial class first?

Yes. Families can start with a trial class to see the teaching pace, structure, and level fit before committing.

How do parents know what to work on next?

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.

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Experience our teaching approach firsthand. No commitment required.

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