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Linear Functions Podcast Polynomial functions Unit 1 Unit 3

Linear graphs

  • Gradient of lines
  • Graphing linear equations
  • Finding the equation of a line
  • Perpendicular lines
  • Distance between points
  • Midpoint of a line

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Podcast Probability distributions Unit 4

Sampling & Populations

  • 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
  • Confidence intervals
  • Margin of error

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Podcast Probability distributions Unit 4

Continuous probability distributions

  • Probability density functions
  • Calculating probabilities
  • Median value
  • Mean value
  • Variance
  • Cumulative probability distributions

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Calculus Integration Podcast Unit 2 Unit 4

Approximating areas under curves

  • Area under curves
  • Left end-point approximation
  • Right end-point approximation
  • Improvements to rectangle approximations
  • Find the total from a rate

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Calculus Integration Podcast Unit 2 Unit 4

Integration

  • Find the total from a rate
  • Anti-differentiation
  • Rules for anti-differentiation
  • Examples of anti-derivative functions
  • Finding the original function
  • Area under a curve – integration
  • Signed area

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Podcast Polynomial functions Quadratic Functions Unit 1 Unit 3

Quadratic graphs

  • Transformations of parabolas
  • Graphing quadratics
  • Finding the equation of quadratics

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Podcast Transformation of functions Unit 3

Transformation of functions

  • Translations
  • Dilations (from the x axis), Dilations (from the y axis)
  • Reflections (in the x axis), Reflections (in the y axis),
  • Applying transformations
  • Finding equations from transformation (graphs)
  • Finding equations from transformations (from points)

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Functions & Relations Podcast Transformation of functions Unit 1 Unit 3

Inverse Functions

  • Inverse functions – graphs
  • Inverse functions – rules
  • Inverse functions – from equations
  • Finding inverse functions – one to one.

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Circular Functions Podcast Unit 2

Graphs of circular functions

  • 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

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Podcast Probability distributions Unit 4

The binomial distribution

  • 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

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