# Year 8 ...

```Year 8
Challenge
Thinking Mathematically – a mini project
A 3 X 3 square is outlined in red pen.
It is then cut up into the 9 smaller squares.
1.
2.
3.
4.
5.
6.
How many of the small squares have no red sides ?
How many of the small squares have 1 red side ?
How many of the small squares have 2 red sides
How many of the small squares have 3 red sides ?
How many of the small squares have 4 red sides ?
What happens if you start with a different size square eg 2X2 ?
Can I
Can I
Can I
Can I
record my results in a table ?
see any number patterns ?
find any position to term rules and describe them ?
make predictions and check them out ?
Extensions to the problem
INVESTIGATE !
Can you extend the problem by investigating what would happen if you
started with a different 2 – dimensional shape ?
Can you think what the equivalent problem in 3 – dimensions would be ?
Please make a report of your ideas and findings including results, diagrams,
predictions and anything that you notice about the results.
```