Support · Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus
Support Recognise that a solution to a first order differential equations is a function, and that there may be infinitely many functions that are solutions to a given first order differential equation
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
Use differentiation to find and interpret the first and second derivatives, dQ/dt and (d²Q)/(dt²), in practical problems where a quantity Q is a function of time t
Mathematics Advanced 11–12 – Year 12 · Applications of calculus Draft mapping
No checked resources on this prerequisite dot point yet.
Verify solutions using substitution
Stage 5 · Equations A Draft mapping
No checked resources on this prerequisite dot point yet.
Identify whether a given quadratic equation has real solutions, and if there are real solutions, whether or not they are equal
Stage 5 · Equations C (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Quadratic equationsUse it for: The quadratic formula and discriminant with an interactive graph.
- WorksheetDrillKuta free worksheet: The discriminantUse it for: Printable skills-practice sheet with answer key on the discriminant; good for drill or homework.