Year 8 Visualising and representing

Try out these calculations. Are you surprised by the results?

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

How many moves does it take to swap over some red and blue frogs? Do you have a method?

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

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

Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?

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

Can you deduce which Olympic athletics events are represented by the graphs?

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?

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

Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

Can you work out what step size to take to ensure you visit all the dots on the circle?

Can you describe this route to infinity? Where will the arrows take you next?

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

Alison and Charlie are playing a game. Charlie wants to go first so Alison lets him. Was that such a good idea?

Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

Aisha's division and subtraction calculations both gave the same answer! Can you find some more examples?

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

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

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

Sequences of multiples keep cropping up...

The number in the square is the mean of the four numbers surrounding it. Can you find the missing numbers? 

If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

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