Splitting 25 EDUC 415

Splitting 25 EDUC 415
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  • Splitting 25  Find a set of numbers that sum to 25 and calculate their product to find the highest possible product
  • Great idea, but let's avoid 1 because that won't help us to get any a larger number through multiplication.
  • Let's  try and break 25 into as many parts as possible to  get the most multiplication.
  •    25  10                            15 5             5             5              10    2      3      2     3      2       3     5           5                                                   2     3       2    3
  • So this gives us 25 * 35 which equals 7776. But another group got over 9000. How??? 
  • OH!!!! What if we try using decimals? We were restricting ourselves to just whole numbers.
  •    25  10                            15 5             5             5              10    2      3      2     3      2       3     5           5                                                   2     3       2    3
  • Yes! 2.510 equals 9536.74. Now that we can use decimals can we get an even larger product? How can we search for this? Can we make a function?
  • What if we were to split  the 5's into 2.5 and 2.5, rather than 2 and 3, then maybe we will get a larger product.
  • This panel is showing how we were getting our hands dirty with the problem by just trying something. We  were also exploring ideas and  building on each others .
  • As the groups got going with solving the problem, the permeable  nature of  adjacent  groups started to spread ideas.
  • Now after getting a feel for how the problem worked we thought about finding a better technique to give us the largest product. Creating a function and searching for the maximum was one way but finding the function would be tricky.
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