Year 12 Mathematics Standard
Probability, trigonometry with the sine and cosine rules and bearings, and network flow.
- Each week
- One 3-hour lesson · 30-minute break
- In person · St Leonards
- Weekly from Saturday 17 October, decide by Saturday 24 October · 10:00am or 2:00pm
- Online · live from home
- Weekly from Sunday 18 October, decide by Sunday 25 October · 10:00am or 2:00pm
- Price
- $1,000 instead of $1,500 for all 10 lessons, for the first 5 students to sign up. Try 2 lessons before you pay
The term price covers all 10 lessons, the first 2 included. Pay up front, after the first lesson or after the second; if the class is not right by then, there is nothing to pay.
The term, lesson by lesson
In person Saturday 17 October to Saturday 19 December, online Sunday 18 October to Sunday 20 December. Follows the new NESA Mathematics Standard 11–12 Syllabus (2024) for Standard 2, which this cohort is the first to sit in the 2027 HSC, in the order most schools teach it.
The term at a glance
| Lesson | Topic | In person | Online |
|---|---|---|---|
| Lesson 1 | Relative frequency and probabilityProbability basics | Sat 17 Oct | Sun 18 Oct |
| Lesson 2 | Relative frequency and probabilityEvents in more than one step | Sat 24 Oct | Sun 25 Oct |
| Lesson 3 | Relative frequency and probabilityRelative frequency and expected outcomes | Sat 31 Oct | Sun 1 Nov |
| Lesson 4 | TrigonometryRight-angled triangles, elevation and bearings | Sat 7 Nov | Sun 8 Nov |
| Lesson 5 | TrigonometryThe sine rule and the area of a triangle | Sat 14 Nov | Sun 15 Nov |
| Lesson 6 | TrigonometryThe cosine rule | Sat 21 Nov | Sun 22 Nov |
| Lesson 7 | TrigonometryTrigonometry in real problems | Sat 28 Nov | Sun 29 Nov |
| Lesson 8 | Network flowFlow networks | Sat 5 Dec | Sun 6 Dec |
| Lesson 9 | Network flowMaximum flow and minimum cut | Sat 12 Dec | Sun 13 Dec |
| Lesson 10 | Term reviewConsolidation and term test | Sat 19 Dec | Sun 20 Dec |
Relative frequency and probability
Probability basics
- Year 11 review
- MST-12-S2-09
- A quick review of rearranging formulas and working with percentages
- Listing a sample space
- Writing probabilities as fractions, decimals and percentages
- The probability that something does not happen
Key skill: Listing every possible outcome systematically.
Events in more than one step
- Probability
- MST-12-S2-09
- Tree diagrams and tables of outcomes
- Multiplying along the branches of a tree diagram
- “At least one” problems
Key skill: Drawing a tree diagram and reading probabilities from it.
Relative frequency and expected outcomes
- Probability
- MST-12-S2-09
- Relative frequency as an estimate of probability
- Expected frequency: how many times an outcome should occur
- Two-way tables and Venn diagrams
- How probability is used, and misused, in the media and by governments
Key skill: Reading probabilities from a two-way table.
Trigonometry
Right-angled triangles, elevation and bearings
- Trigonometry
- MST-12-S2-04
- Finding sides and angles, working in degrees and minutes
- Angles of elevation and depression
- True bearings and compass bearings, and converting between them
Key skill: Turning a worded question into a clearly labelled diagram.
The sine rule and the area of a triangle
- Trigonometry
- MST-12-S2-04
- Using the sine rule to find a side
- Using the sine rule to find an angle, including obtuse angles
- The area of a triangle using two sides and the included angle
Key skill: Labelling a triangle so the rule can be applied correctly.
The cosine rule
- Trigonometry
- MST-12-S2-04
- Using the cosine rule to find a side
- Using the cosine rule to find an angle
- Deciding whether a question needs the sine rule or the cosine rule
Key skill: Choosing the right rule from the information given.
Trigonometry in real problems
- Trigonometry
- MST-12-S2-04
- Multi-step bearings problems
- Navigation and surveying questions
- Mixed practice across every rule from the topic
Key skill: Breaking a larger problem into triangles that can each be solved.
Network flow
Flow networks
- Network flow
- MST-12-S2-06
- Sources, sinks and directed networks
- Drawing a flow network from a table of information
- Flow capacity, cuts and the capacity of a cut
Key skill: Setting up a flow network from a real situation.
Maximum flow and minimum cut
- Network flow
- MST-12-S2-06
- Finding the maximum flow using the minimum cut
- What happens when the capacity of one edge changes
- Deciding whether a network can meet demand
Key skill: Finding the minimum cut in a network.
Term review
Consolidation and term test
- MST-12-S2-02
- MST-12-S2-04
- MST-12-S2-06
- MST-12-S2-09
- Mixed HSC-style questions on probability, the sine and cosine rules, bearings and network flow, including the mistakes that cost marks most often
- A short test under exam conditions, marked with written feedback
- A plan for the summer holidays, built around the investment and annuities work that opens Term 1
Key skill: Setting out working clearly enough to earn every mark.
How every lesson runs
3 hours of teaching with a 30-minute break, following the same pattern every week.
Check in
A short quiz on last week’s content, and the homework questions that caused trouble worked through on the board before anything new is taught.
Teach
The new content taught at the whiteboard, with worked examples that build from the first idea up to the standard of an HSC question.
Practise
Questions at four levels: Assimilate, Consolidate, Integrate and Extend. Everyone starts together and moves up as they are ready, with written work checked as they go.
Exam practice
Past HSC questions on the week’s topic, answered under time and marked against the NESA marking guidelines, so students learn what earns the marks.
Take home
Session notes and homework set at each student’s level, so the week’s work is secure before the next lesson builds on it.
What your child receives
Every student in the class gets all of this, week by week and across the term.
- Every week
A check-in quiz
A short quiz on last week’s content opens every lesson, so a gap is found and fixed before new work is built on top of it.
- Every week
Session notes
Notes on what the lesson covered, to revise from at home. They are sent even when a lesson is missed.
- Every week
Homework at their level
Questions set at one of four levels, Assimilate, Consolidate, Integrate or Extend, so the work stretches each student without losing them.
- Every week
Marked HSC questions
Past HSC questions on the week’s topic, answered under time and marked against the NESA marking guidelines.
- End of term
A term test with written feedback
A short test under exam conditions in the final lesson, marked and returned with written feedback on where the marks were won and lost.
- End of term
A holiday plan
A plan for the holidays that follow, built around the work that opens the next term.
The rest of Year 12
Where the course goes next, in the order schools teach it.
- Term 1, 2027
Investment in full, bivariate data and lines of best fit, and ratios and rates.
- Term 2, 2027
Critical path analysis, depreciation, loans and credit cards, simultaneous equations, and exponential, quadratic and reciprocal models.
- Term 3, 2027
The normal distribution and annuities. Then trial exams and revision for the HSC.
Questions about this class
Which syllabus does the Mathematics Standard class follow?
The class follows the new NESA Mathematics Standard 11–12 Syllabus (2024) for Standard 2, which this cohort is the first to sit in the 2027 HSC, in the order most schools teach it.
What if my school teaches Mathematics Standard in a different order?
The class follows the plan on this page, which uses the order most schools teach Mathematics Standard in. Where your school takes a topic earlier or later, that week’s lesson is either revision of work already done or a head start on what is coming. You keep the session notes from every lesson, so they are on hand when school reaches the topic.
Can I join partway through the term?
Yes. Classes run every week through the term, so you can start whenever suits and still have two lessons to decide before you pay. Tell us which course you are in and we will let you know what the class has covered so far.
What if I miss a week?
Tell us as early as you can. Where there is room, you can sit that week with the other day’s group. The Saturday and Sunday classes cover the same material and we will send the session notes either way.
Do I pay for the first two lessons?
Only if you stay. The term price covers every lesson, the first two included. Pay up front, after the first lesson or after the second. If the class is not right after two lessons, you pay nothing.
Sitting more than one?
Every course runs as its own class, each with its own plan.
Join the Mathematics Standard class
Try 2 lessons before you pay. Tell us whether Saturdays in person or Sundays online suit, and we will confirm your session.