Should my child take Maths Advanced, Extension 1 or Extension 2?

No subject choice attracts more folklore than mathematics. Extension 2 scales so well that it is worth doing even badly; Extension 1 is only worth it with Extension 2; Advanced is the safe choice; Standard will cap the ATAR. Each of these has a grain of truth and produces a wrong decision when applied without looking at the student. The framework below asks four questions about the student in front of you, in order, and lets the level follow from the answers.

The first question is the ceiling, honestly measured. The relevant evidence is not the Year 10 mark but how the student handles unfamiliar problems: given a question they have not seen, do they attempt it and get somewhere, or do they wait for the method to be shown? Extension mathematics is a course in unfamiliar problems. A student who needs the method first will find Extension 1 uncomfortable and Extension 2 a year of watching others, regardless of their Year 10 mark.

The second question is the doors. Engineering degrees assume Extension 1 and reward Extension 2. Most science and economics degrees assume Advanced and reward Extension 1. Medicine generally sets no mathematics prerequisite, and for most pathways Chemistry, the UCAT and the interview matter more than the level of mathematics. Law and the humanities rarely assume more than Standard, so the choice there should be made on aptitude and workload. A student whose likely degrees all sit in the last two groups gains nothing from Extension 2 except a difficult year and possibly a weaker ATAR.

The third question is scaling, and here the folklore is half right. The extension courses scale exceptionally well because their cohorts are strong, and a strong Extension 2 mark is among the most valuable in the HSC. But the chart above is read at the 75th percentile of each cohort, which means a student must be in the top quarter of Extension 2 candidates, the strongest mathematics students in the state, to earn it. A strong Extension 1 mark earns a scaled result close to a mid range Extension 2 one, in a year that leaves time for the other subjects. Scaling rewards the mark; it does not create it.

The fourth question is the load, and it is the one families skip. Extension 2 is not one extra unit of work; it is a different volume of work, and it arrives in the same year as everything else. A student running Extension 2 alongside a major work or two other extension courses is not making a strategic choice but a scheduling error. The honest test is whether the student has time in the current week for the extra problem sets Extension 1 already demands. If not, Extension 2 will take that time from the subjects that count.

Two patterns account for most of the decisions that go wrong. The first is the strong but not exceptional student pushed into Extension 2 for its scaling, who spends the year struggling in Extension 2, drops their other subjects a band each, and finishes below the ATAR they would have earned with Extension 1 done well. The second is the genuinely exceptional student steered towards Advanced for safety, who is bored, disengages, and underperforms in a course that never asked enough of them. Both errors come from deciding on the course rather than on the student.

The decision can usually be corrected until the end of Term 1 of Year 11, and sometimes later, so families should treat the first term as a trial. A student who is thriving in Extension 1 by Easter is a candidate for Extension 2 in Year 12; a student who is struggling in Extension 1 by Easter should consider dropping to Advanced before the preliminary examinations, while the change is still free. The right level is the one where the student is stretched and succeeding at the same time.

Edward MaDirector, MA99 Education