Year 8 Visualising and representing

We usually use squares to measure area, but what if we use triangles instead?

Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

What are the possible areas of triangles drawn in a square?

Isometric Areas explored areas of parallelograms in triangular units. Here we explore areas of triangles...

What's the largest volume of box you can make from a square of paper?

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

Play around with the Fibonacci sequence and discover some surprising results!