Prime Factor Form.....like you've never seen it.
Who doesn't enjoy a good maths puzzle? The normal barrier to such enjoyment is finding a problem of appropriate difficulty for yourself or those you teach. Too easy and it becomes pointless and too hard and you fail to make any progress which isn't fun for anyone. And then I stumbled across this problem...the advice is to have a go first and I thoroughly endorse that advice. My solution, which goes around the houses, is below. At the end I realized there was a far quicker way but that's why you should do it yourself first - you'll end up with a far better understanding of what is going on. This is a great activity if structured well for your class. Don't cheat - have a go first before looking at my solution. Original problem (Click the title!) Given that there is a pattern in the sequence: 2 2 x 3 4 , 2 3 x 3 4 , 2 2 x 3 5 , 2 4 x 3 4 , 2 2 x 3 4 x 5, 2 3 x 3 5 , … Write the next six terms in the seque...