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Example 1
Investigation
 

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 

 



 
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