Conjecturing and generalising

Have a look at this table of how children travel to school. How does it compare with children in your class?

Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you choose?

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Will you play the nice or the nasty version of this dice game?

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

What happens when you add the digits of a number then multiply the result by 2?

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

Use the maps to work out the number of points each route through Numberland scores.