Maths Enrichment

Detailed information about the Maths Enrichment program.

Maths Enrichment is a 12–16 week program held flexibly between April and September. It comprises seven parallel stages of comprehensive student and teacher support notes. Each student participates in one stage. These programs are designed for students in upper primary and lower to middle secondary school (years 4–10).

Each stage includes Student Notes designed to be a systematic structured course over the duration of the program, which students can keep for ongoing reference. The support of the Australian Government enables this program to be offered to Australian students at an entry fee lower than the cost of buying the notes independently. This enables schools to timetable the program to fit in with their school year.

The Enrichment stage is independent of the earlier Challenge stage; however, they have the common feature of providing challenging mathematics problems for students, as well as accessible support materials for teachers.

The stages are in order of difficulty with general year level recommendations: Ramanujan (Years 4–5), Newton (Years 5–6), Dirichlet (Years 6–7), Euler (Years 7–8), Gauss (Years 8–9), Noether (very able students in Years 9–10) and Polya (top 10% Year 10). Ramanujan, Newton and Dirichlet have 8 problems, Euler and Gauss have 12 problems, and Noether and Polya have 16 problems.

Ramanujan

Ramanujan includes estimation, special numbers, counting techniques, fractions, clock arithmetic, ratio, colouring problems, and some problem-solving techniques.

Newton

Newton includes polyominoes, fast arithmetic, polyhedra, pre-algebra concepts, patterns, divisibility and specific problem-solving techniques.

Dirichlet

Dirichlet includes mathematics concerned with tessellations, arithmetic in other bases, time/distance/speed, patterns, recurring decimals and specific problem-solving techniques.

Euler

Euler includes primes and composites, least common multiples, highest common factors, arithmetic sequences, figurate numbers, congruence, properties of angles and pigeonhole principle.

Gauss

Gauss includes parallels, similarity, Pythagoras’ theorem, using spreadsheets, Diophantine equations, counting techniques and congruence. This stage follows on from Euler.

Noether

Noether includes expansion and factorisation, inequalities, sequences and series, number bases, methods of proof, congruence, circles and tangents. Follows on from Gauss.

Polya

Polya has been completely revised and covers functions, symmetric polynomials, geometry, inequalities, functional equations, number theory, counting and graph theory.