Support · Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors
Support Define the zero vector 0, written as 0∼, as the vector with zero magnitude and no direction
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.
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Prerequisite dot points
Approximate the gradient of a curve f(x) = xⁿ at a point P(c,f(c)) by considering the gradient of the secant through P and Q(c + h,f(c + h)) as the magnitude of h approaches zero, using graphing applications or a spreadsheet
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
Graph y = f^'(x) for a given graph of a function y = f(x)
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.
Define the derivative of the function f(x) from first principles, as the limiting value of the gradient of the secant (f(x + h) - f(x))/h as h approaches zero, when this limiting value exists, and use the notation f'(x) = limh→0(f(x + h) - f(x))/h
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.