LEARN · EXPLAIN · REVISE
Senior Mathematics Studio
Read the idea, work independently, then explain what changed.
One curriculum. Several ways in.
Follow a textbook, use a school learning route, or return to a skill after an examination question. School streams and examination paper codes are separate labels.
Textbook learning sequence
Compulsory volume 1
Sets and commonly used logic · Quadratic functions, equations and inequalities · Functions: concept and properties · Exponential and logarithmic functions · Trigonometric functions
5 chapters · 19 sectionsCompulsory volume 2
Plane vectors and applications · Complex numbers · Introduction to solid geometry · Statistics · Probability
3 chapters · 12 sectionsSelective compulsory volume 1
Space vectors and solid geometry · Equations of lines and circles · Conic sections
2 chapters · 7 sectionsSelective compulsory volume 2
Sequences · Derivatives and their applications
3 chapters · 11 sectionsSelective compulsory volume 3
Counting principles · Random variables and distributions · Statistical analysis of paired data
School learning and revision routes
Routes follow the contents of T01–T06. Revision material does not imply first teaching in that grade. Semester boundaries are not supplied in these sources.
Senior 1 · Arts
Sets, inequalities and algebra · Functions, exponents and logarithms · Trigonometry and vectors · Solid geometry, including surface area
Senior 1 · Science
Sets, logic and algebra · Functions, powers, exponents and logarithms · Vectors before trigonometry · Solids, parallelism and perpendicularity
Senior 2 · Arts
Inequalities and optimisation · Lines, circles and linear programming · Conics and intersections · Sequences, series and induction · Counting, binomial theorem and probability
Senior 2 · Science
Inequalities with parameters · Lines, circles and loci · Conics, translation and parameterisation · Sequences and induction · Counting, probability and expectation
Senior 3 · Arts
Derivatives and applications · Algebra review · Plane and solid geometry review · Determinants · Vectors and analytic geometry review · Complex numbers review · Matrices · School JAE-style practice
Senior 3 · Science
Differentiation and integration · Space vectors and analytic geometry · Whole-course review