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

#### Other details

Contributors
• 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: 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.