 Dice duels: airport addition

TLF ID L2323

Move planes along numbered lanes on an airport runway. Add the numbers on a pair of dice to determine which plane takes off. Try to predict which lane is most likely to clear quickly. Explore how many rolls are needed to match a chosen number five times. Look at an explanation of uneven distributions. Compare the theoretical data distribution 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 variation and probabilities.
• Students interpret frequency graphs to identify theoretical probabilities.
• Students distinguish between even and uneven data distributions.
• Students compare theoretical and experimentally derived data distributions.
• Students relate the shape of data distributions to statements about sample variation and sample size.
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 an uneven distribution.
• Introduces mathematical ideas underpinning uneven distributions via an on-screen tutorial.
• Automatically collates experimental results and finishes them if they require many trials.
Year level

6

Learning area
• mathematics
Strand
• Mathematics/Statistics and probability
Concept
• Mathematics/Probability
• Mathematics/Investigation
• Mathematics/Graphs
• Mathematics/Experiments
• Mathematics/Random events
• Mathematics/Sampling
• Mathematics/Statistics
• Mathematics/Data interpretation
• Mathematics/Conjectures
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 7015 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: x - maximum version: 7
Rights
• © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.

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