Fraction
What is fraction ? Fraction is a part of a whole number. Imagine if a cake is considered a whole, when the cake is cut into 2 pieces , one of the pieces is considered 1 out of 2 , which is written as 1/2 . If we cut further to 4 pieces of cakes, each pieces will be 1 out of 4 , or written as 1/4 .
Now , when we perform an addition, 1/2 + 1/2 for example, the first thing to do is to make the number at the bottom equal (denominator) before summation.
For example 1/2 + 1/2 = 2/2 = 1
2/5 + 1/5 = 3/5
2/3 + 1/6 = 4/6 + 1/6 = 5/6 See here , we have turn 2/3 into 4/6 .
Is 2/3 = 4/6 ?
Let's explore this :
Imagine if a piece of cake being cut into 3 pieces and isolate the 2 pieces . If we cut the cake further into 6 pieces , the isolated 2 pieces will turn into 4 pieces . herefore 2/3 is equal to 4/6
Modelling Approach
The example of a moelling questios and solution
1) The part-whole model
We use this model on problems which :
a) requires us to fin the whole give both parts of a quantity
<-------------------?--------------->
__________________________
| known | known |
b) require us to find out one part of a quantity given the whole and another part of the quantity
<-----------------known------------>
___________________________
| known | ? |
2 The comparison model
This model shows the relationship between 2 quantities. We use this model on problem which :
a) involve a difference between two quantities
A : ______________________
| |
B : ________
| | <------difference->
b) involve a ratio between 2 quantities
A: __________________
| | | |
<-------3 units--------->
B : _____
| |
<--1 unit
3) The 'change' model
This model shows the relation between the new value and the original value of a quantity
Before : _____________________
| |
After ______________________________
| | Addition |
Other technique that can be applied other than modelling are
guess and check,
making a systematic list, etc, could be used.
Example of a question and solutions :
Eric is 10 and his mother is 42. In how nmany years ' time will his mother be 3 times as old as him ?
Solution
At present :
Eric's age ________
| 10 years |<------ difference 32-->
Mother's age _________________________
| 42 years |
Some years later
Eric's age _________________
| 10 years | some years|<------ difference 32-->
<-------1 unit----------->
Mother's age __________________________________
| 42 years | some years|
<-------- 3 units ------------------------------->
So, 3 units - 1 unit = 32 years
2 units = 32 years
1 unit = 16 years
Hence, in (16-10) years, which is 6 years time, Eric's father will be 3 times as old as him
Technorati Profile
Modelling Tecnique
Many students in primary schools are confused with the words questions that deal with modelling.
In my experience of coaching primary level students , they need proper guidance and patience.
A few pointers for the parents or students to take note of when to use modelling to resolve the problem sums.
1) When the question involves comparison for more than 2 items, which uses phrases such as "more than" and/or "less than"
2) When only a relative comparison is provided such as "the length of ruler A is twice the length of ruler B"
In general, when the above two scenerio occurs and when mental calculation is almost impossible, you could use model effectively to resolve the problems.
Next article will deal with more on the solution for modelling technique
How to perform a quick mental calculation.
You may wonder why a person can perform a quick calculation on a number which ends with 5.
There is an unconventional way of performing such a calculation.
Let's give an example, 25 X 25 = 625 . I can provide the answer in a second the moment the question is asked. How do I do it ?
Let's folow this rule of thumb.
Look at the column on below the unit, both are 5 . When 5 X 5 , we will get 25
Let's look at the column of tenth , both are 2 . Instead of 2X2 , we shall add 1 for one of the numbers and it become 3X2 =6 .
Therefore, just combine the number 6 and 25 together , it yields 625. It sounds odd , isn't it ?
But this is true..
You coud try 35 X35 = (4X3) (5X5) = 1225
You could also try other numbers with 5 as the last number. One thing to note is that , both number has to be same.
Try it out yourselves for 45 X 45
55 X55
See it for yourselves and convince yourselves
By Loi Kheng Seong
How to find out if a number can be divided by 3
Many of you may wonder if a large number is given, how do you know whether it can be divided by 3. The technique is pretty simple , however, if there is no one to guide you , you would probably not aware of this technique .
Firstly, let's take a look at number 24. We all know that 24 can be divided by 3 easily as 24 is in the multiplication table. 3 X8 = 24.
If a larger number , say, 87 is given , are you able to tell if 87 can be dvided by 3 ? Yes, some of you may say it is easily done by mental caluculations.
Yes, 87 can be divided by 3 . 3X 29 = 87
Alrght, how about this number 38765865 ? Can anyone tell me if this number can be divided by 3 without going through the traditional method that thought in he prmary school ?
Well, the trick is , let's look at 24. If we add up the digit 2 and 4 , it gives you 6. And 6 is divisible by 3 , therefore, 24 can be divided by 3.
Let's look at 87 again . The sum of 8 and 7 gives you 15, some of you may know that 15 can be dividd by 3 and therefore 87 can be dividd y 3. For the sake of explaination, let me go through this. the sum of 1 and 5 gives you 6 which is divisible by 3. Therefore, 87 can be divided by 3.
Same rule applies to 38765865 , the sum of the all the dgits gives you 48, furher adition of 4 and 8 gives you 12. we add 1 and 2 again and gives you 3.
Therefore, 38765865 can be divided by 3.
By author Woei Wu
How to score a better marks during examination
How to score a good mark on the Mathematics Examination
1) Pay attention to classes
2) Pick up the important points or memorise important formula
you could do that by taking down notes and important steps to resolve
a problem.
3) Practise after each lesson
4) Revision
Even more important is the other 80% of the marks on the Mathematics exam papers. It is essential that the students have revised enough of the syllabus in order to get enough marks on the exam. When students are revising all their subjects, it is important to choose revision materials that will enable fast and efficient revision for each subject’s exam.
Numerology is simply referred to as the traditional beliefs and systems
that are mystical in nature. Numerology assists us to establish a
relationship between various physical objects and the numbers.
In the past, numerology was considered as a part of mathematics, but
now it is not.
Since ages, numerology has been playing an important role everywhere
in our lives. The same holds true with our names. The names given to us
by our parents plays an important role in the field of numerology.
These names are not purely a way to address or differentiate us from the
other people around us, but to a great extent, are a deciding factor of our
personality and our future developments.
Any name, be it a word or a title has a particular kind of vibration attached
to it. The reason being that every alphabet in our name has a certain number
associated with it. These numbers in turn carry some particular vibrations
with them. Thus adding on all the numbers that are associated with the
alphabets of our names, gives various vibrating modules, which in turn are
added up to give a final vibration pattern.
For instance the name Tina has four distinct alphabets. Each of these
alphabets are associated with some number. Read T as one, I as seven,
N as five and A as nine. Now by adding all these numbers we get a total
of 22. So there must be some particular wavelength of vibration that is
being attached to this number 22. Therefore this 22 number and the
vibrations associated with it is the deciding factor of the over all personality
of Tina.
Parents while keeping a name for their new born child, ponder on all the
options available to them. They consult their relatives and also the
learned-men. And once name gets decided, the child is addressed by it.
As the vibrations of the names starts to reach the ears of the child very
frequently, he tries to encode the meanings behind the vibrations and
accordingly tries to understand the environment around him.
Every vibration has some particular behavioral trends and patterns associated
with it. And once your name has been decided, these vibrations start having
an effect on you and guide you towards a particular path. Therefore
name numerology considerably helps us to know a person's personality and
development in the future. These future developments can be things like their studies, their health, their carrier growth and their life in general.
