An Investigation © T Madas

Start with a 9 x 9 square dotted paper Join up any 4 dots to make squares. This is the same square. It only counts once It does not matter where you drew it © T Madas

Start with a 9 x 9 square dotted paper Join up any 4 dots to make squares. This is a different square, because its area is equal to 4 little squares © T Madas

Start with a 9 x 9 square dotted paper Join up any 4 dots to make squares. How many different squares can you find? Squares are different if they have different area There are more squares than you think… See if you can be organised and find them all. © T Madas

© T Madas

Can you find more squares? This is how you can show 8 different squares in one grid 64 49 36 Do not forget to mark their different areas 25 16 9 Their areas form a sequence. What is it called? 4 1 Can you find more squares? © T Madas

© T Madas

Check with tracing paper 1 ½ 2 Check with tracing paper You can join dots at any angle to make up squares. What is the area of this square? Did we have this square before? © T Madas

Check with tracing paper 2 Check with tracing paper You can join dots at any angle to make up squares. What is the area of this square? Did we have this square before? © T Madas

Check with tracing paper 2 Check with tracing paper You can join dots at any angle to make up squares. What is the area of this square? Did we have this square before? © T Madas

© T Madas

2 8 18 32 © T Madas

50 37 26 17 10 5 2 © T Madas

40 29 20 13 8 5 © T Madas

34 25 18 13 10 © T Madas

32 25 20 17 © T Madas

34 29 26 © T Madas

43 40 © T Madas

50 © T Madas

Worksheet © T Madas

© T Madas

© T Madas