A summary of the topics covered in VCE Maths Methods Unit 1 & 2.
Sample proportions, Sampling distribution - small populations, Sampling distribution - large populations, Sampling distribution - normal distribution approximation, Mean & variance of a sample proportion, Sampling distribution - comparing approximations, Mean & variance of the sample proportion, Confidence intervals, Margin of error
Probability density functions, Calculating probabilities, Median value, Mean value, Variance, Cumulative probability distributions
Area under curves,
Left end-point approximation,
Right end-point approximation,
Improvements to rectangle approximations,
Find the total from a rate
Transformations of parabolas, Graphing quadratics, Finding the equation of quadratics
Translations, Dilations (from the x axis), Dilations (from the y axis), Reflections (in the x axis), Reflections (in the y axis), Summary, Applying transformations, Finding equations from transformation (graphs), Finding equations from transformations (from points)
Intersection of lines - from a graph, Intersection of lines - substitution of equations, Simultaneous equations - elimination method, Simultaneous equations - matrix method, Families of parallel lines - no solutions, Infinite solutions, Example question
Inverse functions - graphs
Inverse functions - rules
Inverse functions - from equations
Finding inverse functions - one to one.
Values of sin x , cos x & tan x,
Graphs of sin x & cos x,
Transformations of sin graphs,
Solving circular function equations,
Graphs of tan x
The coin toss - three coins
The coin toss - four coins
The binomial probability distribution
Rolling dice
How many trials?
Using the TI nSpire
Graph of binomial distribution
Mean & standard deviation
Continuous probability density functions
The normal distribution
Calculating probabilities
Z tables
Finding values from a probability
Probability distributions
Discrete random variables
Expected values (mean)
Variance
Linear functions - mean & standard deviation
Standard deviation
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