Sunday, January 15, 2006

Purple Sheet Cake Designs

"An elephant that relies heavily" All fingers

Level: CE2-CM1

An elephant is a turd day the first year of life, 2 a day the second year and so on until 50 years and then decrease its droppings a day per year until his death at the end of its 100 th year.
How did he poop until 50 years? until his death?

is a theme that appeals to many students! ! !

References:
"An elephant, it matters a lot," Helme Heine (Benjamin Folio, Gallimard, 1981)
This book is no longer published but is found quite easily in BCD and libraries.

This book is described by Dominique Valentin in an article on the books as:
"That account each morning with so much attention and pride that elephant? He has these "nice round beautiful packages" that are his droppings. For fifty years, his birthday, he makes a shit again, but during the next fifty years, it will not bring himself to see happen on each anniversary of that shit less, to ...
It will be understood, there is, again, very far from a classic book! Philosophical tale in which death is looming quietly, book of account as we want to calculate the number of made by our elephant droppings throughout his life ... we all take as he pleases, but it would be a shame not to meditate. "
(You can find the full article in the magazine" Big N "No. 52 pp.11-21, 1992-1993 and there: http://www.grenoble.iufm.fr/departe/francais/livreaco / grandn.htm )

WARNING! The book has 2 mathematical errors: there is first a confusion between having a year and the first year. Then, after the first 50 years ago calculated multiplying the result by 2 to get the number of droppings until his death (and it does 50 droppings per day for the 50th year and then reverts to 49, then 48 ... droppings per day, we must multiply by 2 the result of 49 years and add the 50th).

worked Skills:
- involving oral and written descriptions of numbers (up to 800 000)
- organizing and processing additive calculations
very long - make good use of his calculator
- using multiplication instead of 'repeated addition

procedure possible:
- if students have not built the number of days in there one year, you can use a calendar, draw a poo on each day and counting (one by one, by adding the number of days each month) of course we ignore leap years
- calculate droppings made the first year and the second .... until the 50th (organize those results into a table)
- add the 50 results (the calculator by distributing the work, if a student dictates the numbers to another step that we work + + on the designations and written Oral numbers)
- watch for the next 50 years we have already calculated results (51st = 49th, 52nd = 48th ... .100 th grade = 0 droppings)
- the result is: (total of 49 years droppings X 2) + total poo the 50th year

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