Exploration Free Preview

I have produced 3 guides to help students and teachers with the exploration process.  They are:

  1. Exploration Guide (60 pages)
  2. Modelling for Explorations Guide (50 pages)
  3. Statistics for Explorations Guide (50 pages)

The Exploration Guide talks you through:

  1. An introduction to the essentials about the investigation,
  2. The new marking criteria,
  3. How to choose a topic,
  4. Examples of around 70 topics that could be investigated,
  5. Useful websites for use in the exploration,
  6. A student checklist for completing a good investigation,
  7. Common mistakes that students make and how to avoid them,
  8. General stats projects advice,
  9. A selection of some interesting exploration topics explored in more depth,
  10. Teacher advice for marking,
  11. Templates for draft submissions,
  12. Advice on how to use Geogebra, Desmos and Tracker in your exploration,
  13. Some examples of beautiful maths using Geogebra and Desmos.

You can see a preview of this guide here:

Click to access Exploration-Guide-preview.pdf

The Modelling for Explorations Guide is a 50 page pdf which talks you through various techniques useful for modelling explorations. The focus is on being able to use both calculator and non-calculator techniques to show good knowledge and understanding. Topics included are:

  1. Linear regression
  2. Quadratic regression
  3. Cubic regression
  4. Exponential regression
  5. Linearisation using log scales
  6. Trigonometric regression
  7. Normal distribution regression
  8. Extended technology guide to using Desmos for modelling (including measuring errors, plotting parametric curves, plotting on polar graphs, presenting your graphs perfectly).
  9. Extended technology guide to using Tracker for modelling (including how to achieve the correct scale and how to generate graphs of different functions such as velocity, acceleration, momentum and more).

You can see a preview of this guide here:

Click to access Modelling-Guide-preview.pdf

The Statistics for Explorations Guide is a 55 page pdf which talks you through various techniques useful for statistics explorations. The focus is on being able to use both calculator and non-calculator techniques to show good knowledge and understanding. Topics included are:

  1. Pearson’s Product investigations: Height and arm span
  2. Binomial investigations: ESP powers
  3. Poisson investigations: Customers in a shop
  4. 2 sample t tests: Reaction times
  5. Paired t tests: Reaction times
  6. Chi Squared: Efficiency of vaccines
  7. Bernoulli trials: Polling confidence intervals
  8. Spearman’s rank: Taste preference of cola
  9. Sampling techniques and experiment design.
  10. Extended technology guide to using Desmos for statistics (including plotting histograms, box plots, normal distribution curves, binomial curves, scatter graphs and more).

You can see a preview of this guide here:

Click to access Statistics-Guide-preview.pdf