Level: CE2 - CM
Cut out the pieces and reconstructs a rectangle.
Search All different solutions.
worked Skills:
- to good use the following vocabulary: triangle, square, rectangle
- draw geometric figures
on graph paper - describing a figure to identify a batch of figures
- exhaustive search of all possible solutions to a problem
- organization, classification of solutions to verify and prove that they were all
procedure possible:
- each student cut parts and is a rectangle
- discussion of productions obtained: which are rectangles? Getting clear about the characteristics of a rectangle (a square attention is also a rectangle!)
- each student seeks different rectangles as possible using its parts and draws on a piece plaid
- working in small groups the students cut the rectangles found and the pool by eliminating duplicates (once cut, they can rotate in all directions and really look )
- each group sorts the solutions he has found and then searches those who could miss
- pooled at the classroom level
This problem is much more complex than it seems, try and see ...
Extension possible:
Make students make 16 squares bicolor like this on board (excellent exercise in geometric construction!)
Search all possible assemblages of 2 squares, then all of those 4 squares (assembled to form a large square).
With this situation we can work on symmetry.
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