Wednesday, June 26, 2013

Montessori at our home - 5 Square of Pythogoras (Decanomial)

The cricket fever is not over yet.  In fact, in the coaching excesses that are all over, I am constantly hearing that my son wants to play for the Indian cricket team!!!

I discussed this with one of my uncles and he just said that allow him to explore "most" of the "classes" and withdraw from those that he is not actively interested at a later point.  Guess I will have to do that.  Few weeks back it was Chess mania and now cricket.  Most likely the next is going to be Tennis with Wimbledon matches coming up.

Back to our Montessori that we have not been able to pursue so vigorously since the school reopened.

Finally, oh yes, finally I completed the Square of Pythogoras.

In India, we have neat Mathematics square notebook 1cmX1cm squares.  We pasted a sheet on to cardstock and then cut them for the various dimensions.  Since the squares were all 1cmX1cm, this is probably the easiest material to make.  However, we did not stick it on different coloured card stock for instance

1 - Red
2 - Green
3 - Pink (Orange for our beads)
4 - Yellow
5 - Light blue
6 - Purple (Ours is violet)
7 - White
8 - Brown
9 - Dark Blue
10 - Golden Yellow

I am however planning to ask my son to colour the "white square side" of the decanomial with the above colours.  So, then, it becomes easy to show that

2x3 Green is same as 3x2 Orange.

and so on...

My son had his friend over at our place and we all arranged this.   Here is the work in progress....


And, phew it is complete (the blue Dupatta of mine was enough to spread the whole thing across)



Here is the close up

And, we did end up doing the multiplication fact practice by -
1) Placing the Golden bead bars - essentially telling that the bead bar and this is pretty similar
2) By doing 6x7 by "counting the total number of squares inside the 6x7 rectangle
3) We also started doing the "Square of Pythogoras" but haven't been able to complete it

The kids found it quite tiring after just the above.  Hmmm....may be it is an age thing that they want to grab the "content" faster than before.

We need to use the squares a lot more so I would prefer to use the decanomial or something similar.  In fact, in my mind I am already planning on using this instead of the beaded square for the Binomial presentation.  But, for now, lets get the rest of the square related facts, and sum of 1 to 10 numbers etc in place.

TBD
1) Complete Pythogoras square
2) Complete Square presentation and repeat
3) Sum of first n numbers - lets see if he can get some simple facts in place

Thats it for now!

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