Year 8 can continue a sequence but mix up the types. The teacher gives each pair its own Microsoft Whiteboard board with three columns and sixteen sticky-note cards, including 3, 7, 11, 15; 2, 6, 18, 54; 1, 4, 9, 16; 1, 1, 2, 3, 5; 20, 14, 8, 2; and 5, 5, 5, 5, which fits two columns at once. Pairs must agree a reason before any card moves, and the constant sequence and the decreasing arithmetic ones cause the most argument. They then write the nth-term rule beside each arithmetic card, such as 4n - 1 for 3, 7, 11, 15 and 26 - 6n for 20, 14, 8, 2. The teacher circulates, asks each pair to justify one placement aloud, and takes the class through the square numbers and Fibonacci cards at the end.

Tools: Microsoft Whiteboard Nine ideas for your own version in Generate

This page is one of a growing set of PICRAT examples by cell, subject and grade. Page maintained by Andy Perryer.