
Product Information 
Stairs and Steps 
Investigation PowerPoint Presentation


This “Stairs and Steps “ investigation is concerned with:
Deriving a formula for the sum of the first n odd numbers.
Introducing triangular numbers and realising how they are generated from a pattern of dots/cubes.
Deriving a formula for the nth triangular number and realising that this is equivalent to adding successive natural numbers.
You may need cubes or the printable spotty paper at slide 10 depending on the group. It is envisaged that slides 8 and 9 will be used as extension material with a top group.
There is some much simpler work on triangular numbers in the presentation “Lines and Dots”

9 
y 
n 
y 


£4.00






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