Year 12 maths started in Term 4.
Ninety-minute lessons for Mathematics Advanced and Extension 1 in Hornsby, six students to a table.
Book a trial lesson See groups and fees
A trial lesson is A$40, taken off the term fee if you enrol. Term 1 groups start between 6 and 10 February 2027.
f(x) = x³ − 6x² + 9x + 1
f′(x) = 0
max (1, 5)
f″(x) = 0
inflection (2, 3)
f′(x) = 0
min (3, 1)
(0, 1)
What happens in a lesson
Every group runs the same ninety minutes each week, so students know what is coming and parents know what they are paying for.
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0–10 min
Warm-up
Three questions from last week, done on paper and marked at the table before anything new starts.
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10–45 min
New work
One idea, taught at the whiteboard, in the order the students’ schools are teaching it.
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45–80 min
Problems
Students work through questions while the tutor reads their working. With six at the table, each student’s page is checked several times a lesson, not once at the end.
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80–90 min
Exit question
One question, handed in on the way out and marked before next week, so the tutor knows where each student stands.
The 2027 HSC is the first on the new syllabus
NESA’s 2024 syllabuses for Mathematics Advanced and Extension 1 reached Year 12 in Term 4, 2026, and the 2027 HSC is the first exam set on them. Much of the content carries over, so older HSC papers still help, but none of them was written for this syllabus.
So each term we write a practice paper to it, mark it in the same week, and go through every question in the following lesson.
Year 12 topics, as NESA lists them
Mathematics Advanced
- Further graph transformations and modelling
- Sequences and series
- Differential calculus
- Integral calculus
- Applications of calculus
- Random variables
- Financial mathematics
Mathematics Extension 1
- Proof by mathematical induction
- Introduction to vectors
- Inverse trigonometric functions
- Further calculus skills
- Further applications of calculus
- The binomial distribution and the sampling distribution of the mean
Term 1 groups and fees
| Day and time | First lesson | Places left |
|---|---|---|
| Mathematics Advanced | ||
| Tuesday 4.30–6 pm | 9 February | 2 of 6 |
| Saturday 9–10.30 am | 6 February | 4 of 6 |
| Mathematics Extension 1 | ||
| Wednesday 4.30–6 pm | 10 February | 3 of 6 |
| Saturday 11 am–12.30 pm | 6 February | 1 of 6 |
A$540 a term for one group, which is A$60 a lesson.
The fee covers the nine lessons, a question set each week with worked solutions, the term’s practice paper and a written progress note in week 9.
Extension 1 groups teach the Extension 1 topics only. Most Extension 1 students also join an Advanced group, and the two together are A$960 a term, A$120 less than booking them separately.
Who teaches
Anika
Teaches both Extension 1 groups and the Saturday Advanced group. She taught senior maths in public high schools for eleven years before starting Working Shown in 2022.
Daniel
Teaches the Tuesday Advanced group and writes each term’s practice paper. He taught Years 7 to 12 for seven years before moving to small-group tutoring.
Both hold a current NSW Working with Children Check. There are no photos of either of them here, by their choice.
Questions parents ask
What if our school teaches the topics in a different order?
Most schools do. In the trial lesson we ask which topics the school has covered and what is next on its assessment calendar, and the weekly question sets follow the schools in that group. If two schools in one group differ, the set covers both.
What happens if they miss a lesson?
The lesson notes, the question set and its worked solutions arrive by email that evening. If the other group for the same course has a free seat that week, they can come to that one instead.
How much homework is there?
One question set a week: eight to twelve questions, about 45 minutes. The solutions are written out line by line, which is where the name comes from.
Do you teach Extension 2?
Not in 2027. Two courses taught well is the limit for two tutors.
Can we pay in two parts?
Yes. Pay half before the first lesson and half by week 5, at no extra cost.
What if it isn’t working out?
Leave before week 3 and we refund the lessons not yet taught.
Is it in person only?
Yes. The room is upstairs, a four-minute walk from Hornsby station, with one table for six and a whiteboard on two walls.
Book a trial lesson
Tell us who the lesson is for and which groups suit. We reply by email the same day with a date. The trial is A$40, taken off the term fee if you enrol.