# Squirt: three containers: complex proportional relationships

TLF ID L1996

Examine the relationships between capacities of various containers. Look at three containers that may have different diameters, heights and shapes. Fill a container and squirt liquids between the containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. Express relationships using mathematical notation, for example where a=7b and c=5b, then 5a=7c. This learning object is the last in a series of five objects that progressively increase in difficulty. Some objects in the series are also packaged as a combined learning object.

#### Educational details

Key learning objectives
• Students use proportions to represent quantitative relationships.
• Students use the transitive property of equality to find the relationship between three variables.
• Students express proportional relationships using mathematical notation.
Educational value
• Students apply the transitivity property of mathematics to establish relative proportions.
• Students use mathematical symbols to express proportional relationships.
• Random generation of containers with a range of volumes and relationships supports repeated use.
Year level

8

Learning area
• mathematics
Strand
• Mathematics/Number and algebra
Concept
• Mathematics/Volume
• Mathematics/Computation
• Mathematics/Direct comparison
• Mathematics/Ratio and proportion
• Mathematics/Size and shape
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
• Script writer
• Name: Michael Wagner
• Organisation: Godwin + Wagner
• Address: Box Hill South VIC Australia
• Subject matter expert
• Technical implementer
• Educational validator
• 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.