Circus towers: square stacks

TLF ID L1935

Work out how many acrobats are needed to form square-shaped human towers. Start by building a square tower with four acrobats: two acrobats in the base layer and two acrobats standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to build bigger towers. Describe how the number pattern is formed.



Educational details

Key learning objectives
  • Students identify and extend spatial and number patterns.
  • Students observe how spatial patterns may be represented in tables, graphs, text and mathematical symbols.
Educational value
  • Students identify numerical characteristics of spatial patterns.
  • Students extend numerical patterns.
  • Students enter data into tables.
  • Illustrates the usefulness of tables and graphs to identify and display patterns.
  • Introduces students to non-linear graphs.
  • Students generalise multiplicative patterns and rules using words and algebraic forms.
Year level

4; 5; 6

Learning area
  • mathematics
Strand
  • Mathematics/Number and algebra
    Concept
    • Mathematics/Algebra
    • Mathematics/Arithmetic
    • Mathematics/Computation
    • Mathematics/Factors
    • Mathematics/Graphs
    • Mathematics/Formulas
    • Mathematics/Number patterns
    • Mathematics/Multiples
    • Mathematics/Multiplication
    • Mathematics/Squares
    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 Australia
    • Subject matter expert
    • Name: Howard Reeves
    • Address: Hobart TAS Australia
    • Educational validator
    • Publisher
    • Date of contribution: 2016-09-27
    • Name: Education Services Australia
    • Organisation: Education Services Australia
    • Address: Melbourne VIC 3000 AUSTRALIA
    • URL: www.esa.edu.au/
    • Copyright holder
    • Date of contribution: 2016-09-27
    • Name: Education Services Australia
    • Organisation: Education Services Australia
    • Address: AUSTRALIA
    • URL: www.esa.edu.au
    Metadata contributors
    • Resource metadata contributed by
    • Name: Education Services Australia
    • Organisation: Education Services Australia
    • Address: AUSTRALIA
    • URL: www.esa.edu.au
    Access profile
    • Colour independence
    • Device independence
    • Hearing independence
    Learning resource type
    • Tablet friendly (Interactive resource)
    Browsers
    • Google Chrome
    • Firefox - minimum version: (MS-Windows)
    • ms-internet explorer - minimum version: 9.0 (MS-Windows) - maximum version: 11.0 (MS-Windows)
    • Safari - minimum version: 7.0 (MacOS) - maximum version: 7.1 (MacOS)
    Operating systems
    • ms-windows - minimum version: 7 - maximum version: 10
    • macos - minimum version: v7.1 - maximum version: OS X 10.10 Yosemite
    Rights
    • © Education Services Australia Ltd, 2016, except where indicated under Acknowledgements. This material may be used in accordance with the Creative Commons Attribution-ShareAlike 3.0 Australia (CC BY-SA 3.0 AU) licence https://creativecommons.org/licenses/by-sa/3.0/au/.

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