1. An Investigation
© T Madas

2. 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

3. 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

4. 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

5. © T Madas

6. 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

7. © T Madas

8. Check with tracing paper1 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

9. Check with tracing paper2
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

10. Check with tracing paper2
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

11. © T Madas

12. 2 8 18 32
© T Madas

13. 50 37 26 17 10 5 2
© T Madas

14. 40 29 20 13 8 5
© T Madas

15. 34 25 18 13 10
© T Madas

16. 32 25 20 17
© T Madas

17. 34 29 26
© T Madas

18. 43 40
© T Madas

19. 50
© T Madas

20. Worksheet
© T Madas

21. © T Madas

22. © T Madas