Learning objects Dice duels: load a pair of dice [ESL]

TLF ID L10153

Make biased dice. Weight (load) dice to favour one of the six numbers. For example, load the number five on both dice so that it is three times more likely to come up than any other face. Test ideas about bias by rolling the loaded dice. Examine the sum of the two numbers rolled. Look at demonstrations of the mathematical principles to analyse the bias. Compare the shape of theoretical data distributions with experimental results.



Educational details

Key learning objectives
  • Students collect and handle data about random events to test conjectures about variation and bias.
  • Students interpret frequency graphs to compare experimental results with theoretical probabilities.
  • Students compare the shape of theoretical and experimentally derived data distributions in situations where there is bias.
  • Students relate the shape of data distributions to statements about sample variation, sample size and bias.
Educational value
  • Explores relationships between bias, proportions, sample size, random variation and statistical distributions.
  • Includes scenarios involving a range of even and uneven distributions.
  • On-screen tutorials introduce students to mathematical ideas underpinning bias in even and uneven distributions.
  • Experimental results are automatically collated and displayed as frequency graphs.
  • Features modified language for English as a Second Language users.
  • Includes a glossary of terms used in the activity.
Year level

7

Learning area
  • mathematics
Strand
  • Mathematics/Statistics and probability
    Concept
    • Mathematics/Probability
    • Mathematics/Data interpretation
    • Mathematics/Bias
    • Mathematics/Conjectures
    • Mathematics/Investigation
    • Mathematics/Graphs
    • Mathematics/Experiments
    • Mathematics/Random events
    • Mathematics/Sampling
    • Mathematics/Statistics
    Skill
    • Analysis;
    • Application;
    • Comprehension;
    • Knowledge
    Student activity
    • Interactives;
    • Experiment;
    • Estimation;
    • Analysis;
    • Modelling
    Learning design
    • Experiential learning;
    • Independent learning;
    • Problem solving;
    • Visual learning

    Other details

    Contributors
    • Technical implementer
    • Script writer
    • Name: Erica Dale
    • Organisation: Tungaroo Software
    • Address: Manly NSW 2095 Australia
    • Subject matter expert
    • Name: Howard Reeves
    • Address: Lindisfarne TAS 7095 Australia
    • Educational validator
    • Name: Graham Jones
    • Address: Broadbeach QLD 4218 Australia
    • Publisher
    • Date of contribution: 20 Sep 2013
    • Organisation: Education Services Australia
    • Address: Melbourne VIC 3000 Australia
    • URL: http://www.esa.edu.au/
    • Subject matter expert
    • Name: Warwick Mears
    • Address: Cebu Philippines
    • Educational validator
    • Technical implementer
    Access profile
    • Colour independence
    • Device independence
    • Hearing independence
    • Generic
    Learning resource type
    • Interactive Resource
    Browsers
    • Microsoft Internet Explorer - minimum version: 8.0 (MS-Windows) - maximum version: 9.0 (MS-Windows)
    • Firefox - minimum version: (MS-Windows)
    • Safari - minimum version: 5.1 (MacOS)
    Operating systems
    • MacOS - minimum version: 10.6
    • MS-Windows - minimum version: XP - maximum version: 7
    Platform requirements
    • This object may not display correctly on the Mac OS X platform in Safari unless viewed with Flash 9 Player 9, 0, 24 (for Safari). Use of earlier increments of the Flash 9 Player may result in playback issues on both PowerPC and Intel based hardware. Indications of an incompatible player are looping and/or flashing animations which are likely to relate to flawed interaction with the API or rendering engine Due to the use of rich media content, this learning object is suitable for a connection speed of 256 kbit/s or faster.
    Rights
    • © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.