Learning objects Dice duels: load a pair of dice

TLF ID L3672

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. This learning object is one in a series of 11 objects. This object is also packaged as a combined learning object.

Tags: die


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
  • Provides scenarios for students to use dice as a means to explore relationships between bias, proportions, sample size, random variation and statistical distributions.
  • Demonstrates that conclusions based on small sample sizes can be incorrect 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.
  • Automatically collates experimental results and displays them as frequency graphs.
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/
    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.