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Learning objects Filling glasses: graphing and comparing


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


Learning area
  • mathematics
  • Mathematics/Number and algebra
    • 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
    • Analysis;
    • Application;
    • Comprehension;
    • Knowledge
    Student activity
    • Interactives;
    • Experiment;
    • Analysis;
    • Modelling
    Learning design
    • Experiential learning;
    • Independent learning;
    • Problem solving;
    • Visual learning

    Other details

    • Author
    • Script writer
    • Name: Rod Rees
    • Organisation: Rees Films Pty Ltd
    • Address: Blackburn VIC Australia
    • URL:
    • 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:
    Access profile
    • Colour independence
    • Device independence
    • Hearing independence
    Learning resource type
    • Interactive Resource
    • 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
    • © Education Services Australia Ltd, 2013, except where indicated under Acknowledgements.