Exploring and noticing

Can you each work out the number on your card? What do you notice? How could you sort the cards?

Explore how matrices can fix vectors and vector directions.

Explore the shape of a square after it is transformed by the action of a matrix.

Choose a symbol to put into the number sentence.

Can you find a way to identify times tables after they have been shifted up or down?

Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?

There are nasty versions of this dice game but we'll start with the nice ones...