From Exploration to Consolidation

Below are two pairs of tasks. The first task in each pair encourages you to explore, play with some maths, and make discoveries for yourself. The second task then gives you the chance to use what you have found out in a new situation.

As a whole group, these activities will give you opportunities to work on all five key ingredients that make a successful mathematician: understanding, skills, problem solving, reasoning and attitude. To find out more about these five ingredients and suggestions about how you can reflect on becoming a better mathematician, take a look at our short article What Makes a Good Mathematician?.