# 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
• Subject matter expert
• Name: Howard Reeves
• 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/
• Date of contribution: 2016-09-27
• Name: Education Services Australia
• Organisation: Education Services Australia
• URL: www.esa.edu.au
• Name: Education Services Australia
• Organisation: Education Services Australia
• URL: www.esa.edu.au
Access profile
• Colour independence
• Device independence
• Hearing independence
Learning resource type
• Tablet friendly (Interactive resource)
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