Tuesday, 13 January 2015

Key Learning Points from Lesson (13 Jan)

List three key learning points from the lessons on
- divisibility tests
- Prime factorisation
- Highest Common Factor


  1. -Prime Factorisation (recap)
    -highest common factor
    -'Factor Tree' method

    1. -now I know that there are negative (-1, -2, etc.) integers, and positive (1, 2, etc.) integers!

    2. instead of using "to the power of" I can use index, or exponent.

  2. 1) Index notation is an easier way to express identical numbers that multiply themselves several times
    2) Prime Factorisation
    3) Integers are whole numbers that can exist in both negative and positive

    1. ELABORATION on prime factorisation

      -Prime factorisation is about separating a composite number into "smaller pieces"

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  5. i learnt that we can use the ladder method instead of listing to find the highest common factors.
    i learnt how to do divisibility tests efficiently.
    i learnt that integers are whole numbers

  6. I've learnt that intergers are whole numbers
    I've learnt that the HCF of two numbers can only go as big as the the smaller interger.
    I've learnt that we could use the "ladder method" instead of "listing" method

  7. What we learned:

    -The prime factor branch
    -Highest Common Factor: Factor cannot be greater than the integer.
    -Integers are whole numbers which can be negative or positive

  8. On 13 January, I learnt about
    - Divisibility Test
    how to divide a certain number to get its index notation
    - Factor and Multiple
    the difference between factors and multiple
    - how to find out if the number
    - Index notation

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    2. How to find out if the number does what?

  9. -I learnt the different divisibility tests for multiples of 2,3,5,7 and 11.
    ->For example, multiples of 3 are identified by adding up the digits and identify if the sum is a multiple of 3.
    -I learnt the method of doing prime factorisation, the ladder method.
    -I learnt that the Highest Common Factor is a factor of the two integers.

    1. Technically correct, just wanted to point out HCF is the HIGHEST factor, not just any factor

  10. 1)The "Factor tree" method (used for prime factorisation)
    2)The "Divisibility test" method (used for prime factorisation)
    3)Integers are numbers that can be in both negative and positive

  11. -The highest common factor is a whole number.
    -The product of prime numbers is a composite number.
    -If the last digit of a number is even, then the original number is divisible by 2.

  12. I learnt that we could use different methods to check if a number is divisible by 3. Last time, I used to use the calculator and just type in the number divided by 3. But, we need not do that. We can actually add all the numbers together and see if the number is divisible by 3.

    I learnt that in prime factorisation, we have to divide the number by the lowest number that can divide the number and we have to divide it until we get 1. Then, we take the numbers on the left hand side and multiply it to get the prime factors.

    I learnt that a highest common factor need not be a prime number. It can be a composite or a prime number. Also, The highest common factor will definitely be smaller than the number. Also, the highest common factor bust be a whole number. Also, I learnt that there are positive and negative integers. For example, 1, 2, 3, -1, -2, -3.

    1. If you need multiplication to get the number (unless dealing with fractions) its not a prime

  13. 1.a new method to do Index Notation
    2.a recap on Highest Common Factor
    3.I have learned the basic of positive and negative integers

  14. What I have learnt.
    1] What is an index notation
    2] Learn about the factor tree method
    3] Integers are whole number.

  15. - Factor Tree method
    - Integers are whole numbers
    - Index notation

  16. Disvisibility tests differ with the respective number and how much more steps it takes to see if it is divisible.

    Prime factorisation is dividing the number by a prime until it has nothing left to divide, the answer may be presented with indexes to avoid confusion and human error.

    A new way of finding the HCF ( Highest Common Factor ) will be used instead of the primary school method which is listing down all the factors, which take up more time as the number increases.

  17. -prime factorisation
    -factor tree method and ladder method
    -integers are whole numbers that exist in negative or positive numbers
    -factor cannot be greater than the integer

  18. Highest Common Factor :
    I learnt that the highest common factor has to be a whole number and it is a factor of both numbers.

    Prime Factorisation :
    It can be done by using the factor tree or by repeated division.

    Divisibility tests :
    How to divide by prime numbers easily.

  19. 1)HCF means 'highest common factor'
    2)It is a lot easier to use index notation for numbers that are repeatedly multiplied instead of writing out all the numbers
    3)Integers are whole numbers that are either positive or negative

  20. 1) I learnt to use the factor tree and repeated division method
    2) I learnt that the product of prime numbers are composite numbers
    3)Integers are numbers that can be in both negative and positive

  21. My three key learning points:
    Divisibility Test - This test is used to determined whether the numbers could be divided by a certain number just by examining the numbers.
    - There are certain factors to look out to check if the number could be divided
    - One of the factors is to look at the last number of a big number(if any) and see if its an odd or even number.

    Prime Factorisation - A process of showing a composite number as the product of the prime factors is called prime factorisation.
    - Prime factorisation can be identified in many ways such as repeated division
    - The numbers of the factors are only prime

    Highest Common Factor - The highest common factor for each number is the one that has been divided by the original number but the final value does not have any remainder
    - The highest common factor is not always its original number
    - to find the highest common multiple, we can also use the prime factorisation method.

  22. What i have learnt
    1)The prime factor branch
    2)The usage for the the "ladder" method instead of the long "listing"method
    3)Integers consists of whole numbers which can be either positive and negative