Algebra - representing, sequences, simplifying expressions
Key Stages: 3 and 4 ★★

What patterns do you notice when you enter a number into the bottom left hand corner of the pyramid? Can you explain your patterns?

This problem offers students the opportunity to notice patterns, make conjectures, explain what they notice and prove their conjectures. Generalisation provokes the need to use algebraic techniques such as collecting like terms and representing number sequences algebraically.

This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.


The file attached is a HTML file, which, when opened, automatically redirects you to the problem on the NRICH website.