Year 10 maths for Methods

Read the assumed background line carefully: number, algebra, function, geometry, probability and statistics. That is effectively a checklist for Year 10. A student who is shaky on any of the six will meet it again early in Units 1 and 2, usually at speed.

The phrase "combinations of these functions" in the study's description is worth noticing too. Combining functions, by adding them, multiplying them or feeding one into another, is a central idea in Methods, and it is the subject of the lesson further down this page.

VCAA designs Units 1 to 4 as a sequence. Units 1 and 2 are not a separate course students can skim through; they deliberately lay down what Units 3 and 4 rely on, and the final examinations can draw on it.

For students also considering Specialist Mathematics, the dependence runs one way: Specialist Units 3 and 4 assume Methods Units 3 and 4. Our guide to choosing computing subjects covers the computing side of senior choices.

The syllabus describes a Core that typically covers learning up to the middle of Stage 5, with Paths that teachers program "as appropriate to the needs of the students by the end of Stage 5". It also states that "The Core outcomes and content provide students with the foundation for Mathematics Standard 11-12."

The implication for a student aiming at Advanced is clear: the Paths content, especially further algebra, functions and graphs, is where the preparation happens. The right-hand column of the table above is our reading of how each group connects; the group names are NESA's.

The Paths also include further area and volume, geometrical figures and proof, introduction to networks and data analysis and statistical enquiry. They are all useful; the five in the table are the ones we prioritise for a student heading into Advanced.

NESA notes that the Core-Paths structure is not meant to lock students into a pathway at the end of Stage 4. A student who has missed some Paths content can catch up in Year 10, and that is often where our lessons begin. Our Year 11 mathematics page picks up from there.