Homeschool → Singapore → Secondary 4 → Mathematics

Secondary 4 mathematics

In Secondary 4, learners factorise quadratic expressions, solve quadratic and simultaneous equations, and use trigonometry to find unknown sides and angles in right-angled triangles. They model compound interest and depreciation, and develop geometric reasoning and proof. Statistics and probability extend to box plots, scatter plots and conditional probability, building a foundation for senior secondary mathematics.

Awaiting educator review. This material was drafted by our content team with AI assistance and is waiting for review by a qualified educator. Please check it suits your child before using it. Created 10 October 2026. How we review

Number

Compound interest and depreciationFull lesson · 50 minUse the compound interest formula to calculate the growth of savings and loans and the depreciation of assets, and compare compound with simple interest.

Algebra

Measurement

Right-angled trigonometryFull lesson · 55 minUse the sine, cosine and tangent ratios to find unknown sides and angles in right-angled triangles, including angles of elevation and depression.

Space

Geometric reasoning and proofFull lesson · 60 minWrite logical arguments using congruence, similarity and angle properties to prove geometric results, including simple circle properties.

Statistics

Box plots and bivariate dataFull lesson · 60 minConstruct and compare box plots using the five-number summary, and use scatter plots to describe the relationship between two numerical variables.

Probability

Conditional probabilityFull lesson · 60 minCalculate probabilities when one event affects another, using two-way tables, Venn diagrams and tree diagrams, and distinguish independent from dependent events.

Plan with these topics

Curriculum notes

Australian Curriculum v9.0. Topics are organised around the Australian Curriculum v9.0 Mathematics strands. This is an independent learning resource; it is not endorsed by ACARA and has not been mapped to individual content descriptions.

These lessons were written around Australian Curriculum strands and matched to Singapore levels by age (Primary 1 is the first year of primary school). They are not aligned to MOE syllabuses or the PSLE, so check them against the syllabus your child is working towards.

For parents

Not sure where to start?

Book a free, no-obligation English and maths assessment at a Success Tutoring centre and get a clear starting point.

Book a free assessment