Learning objects Dice duels: load one dice

TLF ID L3671

Make biased dice. Weight (load) a dice to favour one of the six numbers. For example, load the number six so that it is three times more likely to come up than any other face (probability 4/9). Test ideas about bias by rolling a loaded dice. Look at demonstrations of the mathematical principles of bias. Compare the shape of theoretical data distributions with experimental results. This learning object is one in a series of 11 objects. Three objects in the series are also packaged as a combined learning object.



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
  • Students use dice to explore relationships between bias, proportions, sample size, random variation and statistical distributions.
  • Students observe that conclusions based on small sample sizes can be wrong due to random variation.
  • 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.
Year level

6

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/
    Access profile
    • Colour independence
    • Device independence
    • Hearing independence
    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
    Rights
    • © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.