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?.

This first pair of tasks uses dominoes.

Domino Sets

Age 7 to 11 Challenge Level:

How do you know if your set of dominoes is complete?

Amy's Dominoes

Age 7 to 11 Challenge Level:

Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

This second pair of tasks is all about triangles.

Possible Pairs

Age 7 to 11 Challenge Level:

In this game, you turn over two cards and try to draw a triangle which has both properties.

Name That Triangle!

Age 7 to 11 Challenge Level:

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?