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Calculus Graphs Integration Learning Objects Unit 2 Unit 4

Integration – Area under the curve

Investigate finding the area under a curve – integration. Use the sliders to change the boundaries. You can also modify the function being graphed.

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Graphs Learning Objects Linear Functions Unit 1

Straight line – from gradient and point

Investigate translations (x-h) and (y-k) of a straight line with a gradient (m).

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Calculus Differentiation Graphs Learning Objects Unit 2 Unit 4

Gradient from first principles

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Cubic Functions Graphs Learning Objects Unit 1

Cubic graph from factors

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Functions & Relations Unit 1

Families of graphs

Circle graph

Ellipse graph

Hyperbola graph

Truncus graph

Square root graph

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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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