Learning objects Random or not: explore alternating jubes (2:1)

TLF ID L3661

Test a machine that randomly packages two types of fruit jubes: kookaburra and kiwi. Notice that kiwi jubes are twice as likely to be produced within a packet of 12 jubes. Look at patterns in alternating sequences of jube types such as kiwi, kookaburra, kiwi, kookaburra, kiwi (run of 5). Manually choose jube types for a new packet. Explore the longest run of alternating jube types. Compare the results from larger random samples. Identify whether the longest run in the manually produced packet is similar to the longest run most likely to occur in a randomly produced packet. This learning object is one in a series of 17 objects.



Educational details

Key learning objectives
  • Students analyse data about random events to test conjectures about variation.
  • Students interpret frequency graphs to compare experimental results with theoretical probabilities.
  • Students compare the shape of theoretical and experimentally derived data distributions.
  • Students relate the shape of data distributions to statements about sample variation and sample size.
Educational value
  • Provides sampling scenarios for students to explore relationships between proportions, sample size, uneven distributions and random variation.
  • Demonstrates that conclusions based on small sample sizes can be wrong due to random variation.
  • Automatically collates experimental results and displays them as frequency graphs.
Year level

6

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