Learning objects Dice duels: uneven distribution

TLF ID L2636

Play a dice game with 11 counters. Try to predict the best positions for the counters before the game starts. Add the numbers on a pair of dice to determine results. Find out whether some numbers come up more often than others. Explore the shape of the results graph. Compare the shape of theoretical data distributions with experimental results. This learning object is one in a series of 11 objects.



Educational details

Key learning objectives
  • Students collect and handle data about random events to test conjectures about statistical variation.
  • Students interpret frequency graphs to compare experimental results with theoretical probabilities.
  • Students distinguish between even and uneven distributions.
  • Students compare the shape of theoretical and experimentally derived data distributions.
Educational value
  • Provides scenarios for students to use dice as a means to explore relationships between random variation and statistical distributions.
  • Demonstrates that conclusions based on small sample sizes can be incorrect due to random variation.
  • Introduces mathematical ideas underpinning uneven distributions via an on-screen tutorial.
  • Includes a game scenario involving an uneven distribution.
  • Automatically collates experimental results and displays them as frequency graphs.
  • Tests understanding of key concepts through a series of multiple-choice questions.
Year level

7

Learning area
  • mathematics
Strand
  • Mathematics/Statistics and probability
    Concept
    • Mathematics/Probability
    • Mathematics/Investigation
    • Mathematics/Random events
    • Mathematics/Sampling
    • Mathematics/Statistics
    • Mathematics/Data interpretation
    • Mathematics/Conjectures
    • Mathematics/Graphs
    • Mathematics/Experiments
    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.