reSolve: Algebra – Addition chain

This lesson explores making algebraic generalisations of sequences. Students use spreadsheets to investigate potential arithmetic relationships and then use algebra to identify and justify which relationships are generally true. The task can be used as a springboard for an in-depth exploration of the Fibonacci sequence, and develops skills in using spreadsheets. The lessons are outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources such as spreadsheets. This sequence is part of the reSolve: Maths by Inquiry program.