Math Magic Games


Situation :

Call your friends and tell them that you are able to read their mind. Ask them to think a number and don't let you know the number they are thinking. When they are counting you may act as a magician by closing your eyes and raising your hands to the sky.

Instruction :

"Think a number and don't let me know the number. Multiply the number with three, added by four, multiplied by two, divided by 2, added by two, divided by three and the last is subtracted by the number in your mind"

They will be surprise after you tell them that the the number their thought is "two".

Secret :

Whatever numbers they put in, the answer is always "two". Why? By using algebra equation!
If the number given is x, so we get the formula :

{[(2(3x+4)):2]+2}:3-x=2

The way :

If you want the answer is "three" just follow these steps:

(x+3)-x = 3

and put times 2 (or whatever number you want to put in) :
(2(x+3):2)-x=3

Expand the equation (2x+6):2-x=3
Change the equation to be [(2x+4)+2]:2-x=3

and put times 3 (or whatever number you want to put in) :
{[3(2x+4):3]+2}:2 - x = 3

And the last, expand the equation :
{[(6x+12):3]+2}:2 - x = 3

So, the instruction will be "Multiply the number you're thinking with 6, add 12, divided by 3, added by 2, divided by 2, and subtracted by the number"

And prove it if we put the number is 10 :
6 x 10 = 60
60 + 12 = 72
72 : 3 = 24
24 + 2 = 26
26 : 2 = 13
13 - 10 = 3

Have fun with math !!!

Congruent and Similar on Youtube


You may link these sites to learn "congruency and similarity" in math on Youtube.

resizing - stretching
congruent triangle activity
similar triangle-1
similar triangle-2
congruency & similarity
proportions & similarity
introduction to ratio
ratios and proportions-1
ratios and proportions-2


Math Project # 9 - Algebra

Algebra

Due date : Monday, February 9, 2009

1. If the difference of length and width of a rectangle is 2 cm and the perimeter of that rectangle is 52 cm, then determine the area of that rectangle!

2. If the sum of 8 consecutive odd numbers is 4000, then determine the odd numbers all!

Note:
You may submit the homework through email, but let me know by filling in the shoutbox (sidebar on the right)

Basic Geometric Forms

Basic Algebraic Properties

Algebraic Properties of Real Numbers

The basic algebraic properties of real numbers a,b and c are:

1. Closure: a + b and ab are real numbers
2. Commutative: a + b = b + a, ab = ba
3. Associative: (a+b) + c = a + (b+c), (ab)c = a(bc)
4. Distributive: (a+b) c = ac+ bc
5. Identity: a+0 = 0+a = a
6. Inverse: a + (-a) = 0, a(1/a) = 1
7. Cancellation: If a+x=a+y, then x=y
8. Zero-factor: a0 = 0a = 0
9. Negation: -(-a) = a, (-a)b= a(-b) = -(ab), (-a)(-b) = ab

Algebraic Combination

Factors with a common denominator can be expanded:



Fractions can be added by finding a common denominator:



Products of fractions can be carried out directly:



Quotients of fractions can be evaluated by inverting and multiplying: