Example 1 – Investigation into the largest product (1 lesson)
The ICT
Whole class working on a forum to discuss a maths investigation
The maths
LO: To investigate number and work systematically
The problem
Various sets of numbers add together to give a sum of 10:
3+7=10
2+8=10
2 1+5 6+2 3=10
The products of these sets are all different:
3 7=21
2 8=16
2 1 5 6 2 3=27 048
What is the greatest product that can be made from numbers that add up to 10?
Try using different starting numbers.
Can you find a strategy for splitting numbers so that you always get the largest product?
How a VLE helped
Instant feedback from teacher
Self assessment of ideas
Peer assessment and response
Facilitated mathematical talk across the class
Examples of work and discussion
Example 1
danielle and skye
17 Nov 2009 11:45

1+9=10 1x 9=9
2+8=10 2x8=16
3+7=10 3x7=21
4+6=10 4x6=24
5+5=10 5x5=25
6+4=10 6x4=24
7+3=10 7x3=21
8+2=10 8x2=16
9+1=10 9x1=9
10+0=10 10x0=0 
Mr Wingham(SMART_awingham)
17 Nov 2009 11:53 Post 1 
A clear method
Well done you have laid your work out very clearly.
What conclusions could you make? 
Tilly 17 Nov 2009 11:55 
tilly and chantelle why didnt you use decimals?but good work 
Example 2
numbers
James 17 Nov 2009 11:46
1x9=9

1.1x8.9=9.79
1.2x8.8=10.56
1.3x8.7=11.31
1.4x8.6=12.04
1.5x8.5=12.75
1.6x8.4=13.44
1.7x8.3=14.11
1.8x8.2=14.76
1.9x8.1=15.39
2x8=16
2.1x7.9=16.59..........it gets bigger
2.2x7.8=17.6
2.3x7.7=17.71
2.4x7.6=
2.5x7.5=
2.6x7.4=
2.7x7.3=
2.8x7.2=
2.9x7.1= 
Charlie 17 Nov 2009 11:50 
but what does this show? 
Mr Wingham(SMART_awingham)
17 Nov 2009 11:50
Post 2 
Logic
Well done a nice clear method for researching this. Once this is finished you could make some definite conclusions with proof.
well done 1 merit! 
Tilly
17 Nov 2009 11:51
Post 3 
tilly and chantelle
well done very logical thinking and good maths
how did you work this out?
Reply to Post 
Emily 17 Nov 2009 11:52
Post 4 
we think it is very clear and understanderbale
by emily & laura
Reply to Post 
