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Learning objects Bridge builder: complex pentagons

TLF ID L1926

Build bridges by adding pentagonal sections (each made up of four beams plus a shared beam). Examine a table and graph of the total number of beams used in bridges of different sizes. Predict the number of beams needed to build a wider span. Describe the number pattern. This learning object is the last in a series of five objects that progressively increase in difficulty.

Educational details

Key learning objectives
  • Students identify and extend spatial and number patterns.
  • Students use tables and graphs to create formulas and explore relationships between tabular, graphical and algebraic forms.
  • Students solve problems by selecting and applying efficient multiplicative strategies.
Educational value
  • Students extend number patterns and identify specific terms within a pattern.
  • Students enter data sytematically into tables.
  • Students observe and interpret line functions and their graphs.
  • Illustrates the usefulness of tables and graphs to identify and display patterns.
  • Students generalise multiplicative patterns and rules by relating words and algebraic forms.
  • Illustrates that there may be different, but equivalent, algebraic formulas for the same pattern.
Year level

7; 8

Learning area
  • mathematics
  • Mathematics/Number and algebra
    • Mathematics/Number patterns
    • Mathematics/Multiples
    • Mathematics/Multiplication
    • Mathematics/Linear functions
    • Mathematics/Spatial patterns
    • Mathematics/Algebra
    • Mathematics/Arithmetic
    • Mathematics/Computation
    • Mathematics/Graphs
    • Mathematics/Formulas
    • Analysis;
    • Application;
    • Comprehension;
    • Knowledge
    Student activity
    • Interactives;
    • Experiment;
    • Analysis;
    • Modelling
    Learning design
    • Experiential learning;
    • Independent learning;
    • Problem solving;
    • Visual learning

    Other details

    • Technical implementer
    • Script writer
    • Name: Rod Rees
    • Organisation: Rees Films Pty Ltd
    • Address: Blackburn VIC 3130 Australia
    • Subject matter expert
    • Name: Howard Reeves
    • Address: Lindisfarne TAS 7015 Australia
    • Educational validator
    • 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.