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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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Exponential & logarithmic functions Graphs Learning Objects

The exponential function

Change the value of the base to find where the exponential function has the same derivative as itself.

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Circular Functions Graphs Learning Objects

Unit circle

A graphical representation of sin, cos & tan values around the circle.

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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 Graphs Learning Objects Transformation of functions Unit 1

Square root graph

Investigate the transformations of the square root graph.

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Linear Functions Polynomial functions Unit 1 Unit 3

Simultaneous Equations

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Graphs Learning Objects Linear Functions Polynomial functions Unit 1 Unit 3

Families of simultaneous equations

A graphical solution to find where the equations have no solution, one solution or infinite solutions.