Support · Mathematics Extension 1 11–12 – Year 12 · The binomial distribution and sampling distribution of the mean
Support Identify contexts suitable to be modelled using binomial distributions
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
Distinguish between a standard normal distribution with mean 0 and standard deviation 1, and the non-standard normal distribution with mean μ and standard deviation σ
Mathematics Advanced 11–12 – Year 12 · Random variables Draft mapping
No checked resources on this prerequisite dot point yet.
Identify the normal distribution as a continuous probability distribution that is used to model many naturally occurring phenomena
Mathematics Advanced 11–12 – Year 12 · Random variables Draft mapping
No checked resources on this prerequisite dot point yet.
Use graphing applications to explore the normal distribution, graph the probability density function f(x) = 1/(σ√(2π))e^(- (((x - μ))²)/(2σ²)), verify the empirical rule and graph the cumulative distribution function
Mathematics Advanced 11–12 – Year 12 · Random variables 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.