Categories
Differentiation Unit 4

Newton’s method for finding solutions

Categories
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.

Categories
Calculus Differentiation Graphs Learning Objects Unit 2 Unit 4

Gradient from first principles

Categories
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

Download episodePDF

Download notesPDF

Categories
Podcast Probability distributions Unit 4

Continuous probability distributions

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

Download episodePDF

Download notesPDF

Categories
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

Download episodePDF

Download notesPDF

Categories
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

Download episodePDF

Download notesPDF

Categories
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

Download episodePDF

Download notesPDF

Categories
Podcast Probability distributions Unit 4

The normal distribution

  • Continuous probability density functions
  • The normal distribution
  • Calculating probabilities
  • Z tables
  • Finding values from a probability

Download episodePDF

Download notesPDF

Categories
Podcast Probability distributions Unit 4

Discrete probability distributions

  • Probability distributions
  • Discrete random variables
  • Expected values (mean)
  • Variance
  • Linear functions – mean & standard deviation
  • Standard deviation

Download episodePDF

Download notesPDF