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# Dice duels: tool

TLF ID L2645

Explore numbers generated by a set of five dice, each having up to 12 faces. Choose how to combine the numbers rolled: add, subtract or multiply. Use the tool to run up to 9999 trials and graph the results. Find out whether some numbers come up more often than others. 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 wrong due to random variation.
• Introduces mathematical ideas underpinning uneven distributions via an on-screen tutorial.
• Includes a flexible tool enabling a range of even and uneven distributions.
• 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
• 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.

## Related items

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