# Circus Towers

In a circus context, in which acrobats make human towers of different shapes, students are introduced to number patterns arising from spatial patterns.

### Teacher notes

• Students predict how many acrobats are needed to form specific shaped human towers.
• Students build up a table of data, which is also displayed as a graph.
• Students identify and describe the relationship between different representations of spatial patterns as patterns of numbers; in tables; as graphs; in words and using symbols in mathematical formulae.
• Students are assisted to develop multiplicative and algebraic formulae, and can progress to more complicated patterns, where formulae are presented and used.
• Students are introduced to non-linear graphs arising from figurate numbers such as triangular and square numbers, and prisms and pyramids with triangular and square bases.

### Learning objects Circus towers: square stacks They start by building a square tower with four acrobats: two acrobats in the base layer and two acrobats standing on their shoulders. The formula used is n squared, where n is the number of layers.