Support · Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus
Support Recognise the solutions to differential equations in the context of slope fields, and that slope fields are useful in determining the behaviour of solutions when the differential equation cannot be easily solved
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
Verify solutions using substitution
Stage 5 · Equations A Draft mapping
No checked resources on this prerequisite dot point yet.
Recognise that the equation dQ/dt = kQ where Q > 0, and its solution Q = Ae^(kt) represent exponential growth when k > 0 and exponential decay when k
Mathematics Advanced 11–12 – Year 12 · Applications of calculus Draft mapping
No checked resources on this prerequisite dot point yet.
Represent word problems as linear equations, solve the equations and interpret the solutions in the context of the problem
Stage 5 · Equations A Draft mapping
- Corbettmaths practice questions: Equations: angles and perimeterUse it for: Free printable graded practice questions (with answers) on equations: angles and perimeter for drill or a quick check.
- VideoStarterCorbettmaths video: Equations: formingUse it for: Short worked-example video on equations: forming to model the method before practice or for flipped revision.