Close message Scootle will stop supporting resources that use the Adobe Flash plug-in from 18 Dec 2020. Learning paths that include these resources will have alerts to notify teachers and students that one or more of the resources will be unavailable. Click here for more info.

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.