Algebra puzzle :D

3 by 3 puzzle:

clock ( a )

guitar ( b )

box/present ( c )

a+b+b=39

c+c+a=57

a+a+a=51

a+c+a=54

b+c+a=48

b+a+a=45

51÷3=17 ( a )

54-17-17=20 ( c )

(39-17)÷2= 11 ( b )

clock=17 guitar=11 present/box= 20

4 by 4 puzzle:

ladybug=a

apple=b

gear=c

b+a+a+b=96

a+c+a+c=84

a+b+a+c=90

a+a+b=67

a+c+b=71

a+a+a=57

b+c+c=75

57÷3=19 (a)

67-19-19=29 (b)

(75-29)÷2=23 (c)

ladybug=19 apple=29 gear=23

Maths HomeWork :D

Textbook p9 #25:

The Prime factorisation of a number is 2^4 X 3^5 X 7^2 X 11.

Write down 3 factors of the number that are greater than 100.

(Hint: 16 X 11 = 176, which is a factor.)

2x2x2x2=16

3x3x3x3x3=243

7x7=49

11=11

16x49=784 ( 1st factor )

49x11=539 ( 2nd Factor )

since 3x3x3x3x3=243 , it is the last factor. otherwise 243x11=2673 ( 3rd factor )

Textbook p9 #26:

The Prime factorisation of two numbers are 2 X 3^2 X 7^3 X 13 and3 X 7^2 X 13^3 X 17 .

Write down 3 common factors of the numbers.

First Number:

2x(3x3)x(7x7x7)x13=80262

2|80262

3|40131

3|13377

7|4459

7|637

7|91

13|13

_1_

2nd number :

3x(7x7)x(13x13x13)x17=5490303

3	5490303
7	1830101
7	261443
13	37349
13	2873
13	221
17	17
	1

the common factors are 3, 7 and 13.

Textbook P8 #24 :D

A mathematician proposed that "Every even number greater than 2 can be expressed as a sum of prime numbers."

Do you agree? Why?

I agree. The even numbers after 2 are 4,6,8,10 and so on. So if I had to add to prime numbers to have a sum of the numbers, i have to work out like this:

4=2+2

6=3+3

8=2+3+3

10=5+5

2, 3,and 5 are prime numbers, so all the other even numbers should also be expressed as a sum of prime numbers.

COMMUNICATION:D

1 Why is communication important?

2 What is/are your favourite form/s of communication? Why?

3 How do you decide which form of communication to use in a situation?

4 What difficulties do you face in communicating with others?

Communication is important as it is a form of letting others know what you are trying to express and what you are thinking.

My favourite forms of communication is to call people on the telephone, online messaging and SMS.

It usually depends on the situation. If I need to communicate without letting other people find out, I would choose SMS.

Sometimes when I am not familiar with the person, or he is a total stranger, I would be quite shy, and sometimes I do not know how to ask or tell someone something that I think she should change about and to introduce myself in front of many many people.

12 January: Numbers as a Language

I would pick Japanese numerals or Roman numerals. Japanese numerals is very interesting and has many newer changes. I think that the year 2010 would be very interesting and have many changes in life. :D Roman numerals are very complicated and have many steps. i think that in 2010 i'll make many steps in my life and though its complicated, it helps me to improve in my studies.

#2 reflection, amazing race. :D

What do you understand about the school value "Expanding Our Learning Networks"?
Why is this value important and how will it help you in your learning experience in SST

I understand that the school value Expanding Our Learning Networks is about going out of our classrooms for outdoor learning, and to learn more about things outside our textbooks, so that we can remember our lessons more vividly.

This value is important as as it is needed for us to find out more about the neighbourhood around us and to see what we can do to improve the neighbourhood to make it a better place.

#2 reflection. :D

What do you understand about the school value "Forging Excellence"?
What are the strengths that you think you possessed which can help you to achieve excellence?
What other attributes and attitudes do you think you should cultivate to excel in the things you do?
How can you contribute to help your class succeed?

The school value Forging Excellence is a very important value as we need to ensure constant excellence in our studies and tests.i think that i possess good thinking skills and observing skills to help me with achieving excellence. i think that i should cultivate better co-operating skills to be used during group projects. i think i could listen to my friends' comments and ideas and to make more friends in order to help my class succeed.