Sequences investigation (using square and hexagonal tile patterns)

There are 2 simple sequence investigations, one using square tiles and one using hexagonal tiles. Each investigation has an A4 worksheet to set out the problem and a PowerPoint presentation to go through the solution.

There are also 2 extension investigations that involve square and triangular numbers. The method of using simultaneous equations to find a quadratic formula is shown in the accompanying Powerpoint along with a more visual approach.

These investigations can also be used as examples after which you may ask students to create their own patterns with square/hexagonal tiles and find solutions to their own questions. To help students do this there is a sheet of other hexagonal tile sequences to give them some ideas.