Session 5 - 27/9/13

We started the lesson by discussing on differentiated instruction. Basically, it means that as teachers we should plan our lessons based on the developmental needs of the children. We could modify a lesson that we have planned by making it simpler or challenging.

Dr Yeap translated this by getting us to do a tangram activity. He got us to use the tangrams and make as many square shapes of different sizes as we can. And so we did. My group mates had difficulties trying to make a square using the tangrams. We only managed to do squares of 3 sizes.

Square # 1: Consists of 2 small triangles.





Square #2: Consists of 2 big triangles.

Square #3: Consists of all the tangrams given.    

So after which, we had a discussion on how many squares we were able to form which are of different sizes. This activity is a type of differentiated instruction whereby the childre to find possible ways to form squares of different sizes. There will be some children who already can form the standard squares using the tangrams so by challenging them to form squares of different size would help the child think critically and allow them to develop strategies.

For those who were not able to get some of them, Dr Yeap, took out the tangrams that can be used to make a square. He then formed a square but did not complete. He wanted us to complete the shape without giving the complete answer. This a form of differentiated instruction for children who needs the extra guidance. This is also a way teacher scaffolds the children's learnin.

Area (pronounced: air-ee-uh)
Yes, it's not ay-ree-uh. It's air as in the sound of letter 'a'. Anyways, Dr Yeap explained 2 kinds of area measurement - 4 square units or 4 square cm. To measure square units, the shape needs to be drawn on the grid paper and count the number of squares that are inside the shape. Whereas for 4 square cm, the length and breadth would be provided and we just need to multiply them together to get the area.

Angles
We also discussed angles in a triangle. Dr Yeap gave us a problem: Why are angles in a triangle always add up to 180 degrees?
I cut out a shape of a right angle triangle and fold both ends to the top.



I realised that bot angles at the side form 90 degrees when joined together which goes to show that all the angles when added up is 180 degrees.

Another way is to cut up the big triangle like this and aligned them and you would find that the angles form a straight line when placed side by side.

From this:

To this:

You can try it out and see for yourself. This activity finally gave me some logic as to why angles in triangle add up to 180 degrees.

Till then.

-latifahnajib

Session 4 - 26/9/13

In today's session we discovered how magical number 9 is...



See the pattern?  The numbers are inverted. You can also use your fingers to find out the multiplication of 9. That's what I did during my primary school days. I was so intrigued with the fact that you can use your hands to find out the multiplication of 9 and happy as I do not have to memorize the 9 timetable.

So we explored magic 9 with the problem #13 whereby we had to form a number of 2 digits from 0 - 9. After which, we had to add the 2 digits up and then put the two numbers together. Then, we have to minus the 2 digits when placed together and the sum of the 2 digits. So, what Dr Yeap did was he amazed us by getting us to tell the first digit and then he would tel us the number that we got after subtracting. At first we thought it was kind of like a magic trick which he did. But there's actually a pattern.


The number that we got after subtracting will definitely be a multiple of 9. The digit behind can be any number. It doesn't matter what number you get it will still be the same number after subtracting it.

For instance, my number is 89.

So those who know the trick will tell me that the number after subtracting is 72 (I only tell him the first digit). Basically what the person did was, he only know that the number is 80 something... He does not know the last digit. So he just add in any digit behind. He subtracted the number when placed together and the number after the 2 digits are added and he got the correct number.

If you don't believe this is the break down of all the possible numbers:

2-digit number	1st digit and 2nd digit add together	After subtracted
81	9	72
82	10	72
83	11	72
84	12	72
85	13	72
86	14	72
87	15	72
88	16	72
89	17	72

However, it is not possible to find out the 2nd number as it can be any number. And fyi, the other numbers are also multiples of 9.

2-digit number	1st digit and 2nd digit add together	After subtracted
12	3	9
27	9	18
34	7	27
46	10	36
52	7	45
69	15	54
74	11	63
89	17	72
92	11	81

Cool huh?

You can try it out on your friends and show them that you can do some Math magic!

Polygons
We also form polygons using dots template. The problem was we had to form any shape but the rule is to have one dot inside the shape. So we explored and found shapes of different sizes. We also challenged each other to find the largest shape which is 12.










Till then!

-latifahnajib