Thursday, September 26, 2013

session 4

We started today off with a WOW!!!
It's like Dr Yeap can read our minds!

Problem presented:

There I was thinking of number 4 and 1.
and Dr Yeap was able to say the answer is 36.

Someone from the class thought two numbers,
and Dr Yeap was able to find out the answer too.

Ít's kind of scary, how can that be?
and so, the class went into an investigation!

we realised that the answer is always 9 times the 1st-digit number.
Let me find out and write in my journal!(:

And so, we moved on to talk about fractions.
What are the various methods for 3 pigs to share 4 pizzas.

The class had talked about 2 methods.

One of which is to give each pig one pizza first, and split the last pizza into 3 thirds and each take 1 thirds.

Another method is to split all pizzas into 3 thirds each.
Then split the 12 thirds according, so each will have 4 thirds.

I really like the way Dr Yeap used stories to relate to us.
Yesterday, he used "Jack and the beanstalk" to talk about beans (as a concrete materials) to talk about subtraction (taking away)
Today, he used "3 little pigs" to talk about splitting pizza (as a pictorial) to talk about division (splitting it equally)

We ended the class with geometry.
We are supposed to come out with any figures, so long that a dot (not more, not less) is contained in the figure.


We are supposed to count the number of times our figure is bigger than original figure.

Different methods.

As a class, we derive that 1 and 1/2 times of the sample square is the smallest that we can make, whereas 12 times of the sample square is the largest that we can make.

There are some problem encountered, we cannot calculate all the exact area.
So Rowena suggested to count the number of dots and divide is by two, that is how many times your figure is larger than the sample.

 However, this is not applicable for all cases.

In this case, number of dots is 4, 4 divide by 2 is 0.
However, the answer should be 1.
It is 1 time as big as the sample figure.
Hence, Dr Yeap explained that Georg A. Pick had came out with a solution.
Just a question to think about!

(it is actually somewhat like the first problem that Dr Yeap presented to us today)

Really mind reading?
Noooo, it's just some mathematics trick!


Signing off-
Teacher Huimin

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