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# Filling glasses: graphing and comparing

TLF ID L759

Look closely at pairs of line graphs. See the relationship between the shape of a glass and the time taken to fill it with juice. Notice that the fluid level rises more quickly in a narrow glass than in a wide glass. Identify the other variables which determine the shape of each line graph. This learning object is one in a series of five objects.

#### Educational details

Key learning objectives
• Students create and interpret graphs that represent the relationship between quantities and show the rates of change.
• Students match different shaped vessels with the line graphs representing their filling rates.
Educational value
• Illustrates how the shape and slope of a graph can be linked to physical attributes of objects.
• Students associate the shape and slope of a graph of filling rate with the shape of a glass.
• Students compare the filling rates and slopes of graphs for differently shaped glasses.
• Provides visual feedback.
Year level

7

Learning area
• mathematics
Strand
• Mathematics/Number and algebra
Concept
• Mathematics/Lines
• Mathematics/Number relationships
• Mathematics/Pattern perception
• Mathematics/Graphs
• Mathematics/Data analysis
• Mathematics/Comparative language
• Mathematics/Data interpretation
• Mathematics/Variables
• Mathematics/Visualisation
• Mathematics/Volume
Skill
• Analysis;
• Application;
• Comprehension;
• Knowledge
Student activity
• Interactives;
• Experiment;
• Analysis;
• Modelling
Learning design
• Experiential learning;
• Independent learning;
• Problem solving;
• Visual learning

#### Other details

Contributors
• Author
• Script writer
• Name: Rod Rees
• Organisation: Rees Films Pty Ltd
• Address: Blackburn VIC Australia
• URL: http://www.esa.edu.au
• Subject matter expert
• Name: Howard Reeves
• Address: Hobart TAS 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.