Generating quadratic sequences

A complete lesson on using an nth term rule of a quadratic sequence.

Starter:
A quick quiz on linear sequences, to set the scene for doing similar techniques with quadratic sequences.

Main:

• A recap on using an nth term rule to generate terms in a linear sequence, by substituting.
• An example of doing the same for a quadratic sequence, followed by a short worksheet for pupils to practice and an extension task for quick finishers.
• A slide showing how pupils can check their answers by looking at the differences between terms.
• A mini-competition to check understanding so far.
• A set of open questions for pupils to explore, where they try to find nth term rules that fit simple criteria. The intention is that this will develop their sense of how the coefficients of the rule affect the sequence.

Plenary:
A final question with a slightly different perspective on generating sequences - given an initial sequence and its rule, pupils state the sequences given by related rules.

No printing needed, although I’ve included something that could be printed off as a worksheet.

Please review if you buy, as any feedback is appreciated!