Support · Mathematics Extension 1 11–12 – Year 12 · The binomial distribution and sampling distribution of the mean
Support Solve practical problems involving binomial distributions and binomial probabilities with and without online computational applications, excluding the normal approximation to the binomial distribution
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
Apply the empirical rule to make judgements and solve problems involving probabilities of normally distributed data: that for normal distributions, approximately 68% of data lie within one standard deviation of the mean, approximately 95% within two standard deviations of the mean and approximately 99.7% within three standard deviations of the mean
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.