Wednesday, March 28, 2007

Virtual Tour - Science

Be warned! This is not for the faint-hearted.

1) http://www.edheads.org/activities/hip2/
Virtual Hip Resurfacing :Take on the role of the Surgeon throughout a hip resurfacing surgery!

2) http://www.edheads.org/activities/hip/
Virtual Hip Replacement :Take on the role of the Surgeon throughout a hip replacement surgery!

3) http://froguts.com/flash_content/index.html
Click on "demos" on the top-right corner to view 3 demos.

Surprising Solution - Math Problems

Hey!

Here is a very simple problem with an even simpler solution. Yet the solution most pupils will come up with is much more complicated.

Try the problem yourself tonight and see whether you fall into the "majority-solvers" group. Give me your response tomorrow.

A single elimination (one loss and the team is eliminated) basketball tournament has 25 teams competing. How many games must be played until there is a single tournament champion?

Thursday, March 22, 2007

DIVISIBILITY OF NUMBERS

Divisibility Math Trick

We are able to enhance student learning in mathematics with tricks. There are many tricks to teach pupil divisibility in mathematics. Some tricks are listed here. If you know others, please let me know.


A Number is Divisible By 2 if :
Its One's Digit is divisible by 2.
E.g. 368: 8 is divisible by 2, therefore 368 is divisible by 2.










A Number is Divisible By 3 if :
The Sum of its digits is divisible by 3.
E.g. 732: 7 + 3 + 2 = 12, 12 is divisible by 3.
Therefore 732 is divisible by 3.

For example: 12123 (1+2+1+2+3=9) 9 is divisible by 3, therefore 12123 is too!








A Number is Divisible By 4 if :
If the last two digits represent a number divisible by 4
E.g. 524: 24 is divisible by 4, therefore 524 is
divisible by 4.









A Number is Divisible By 5 if :
It ends in Zero or Five.
E.g. 105: 105 ends in a Five, therefore 105 is
divisible by 5.













A Number is Divisible By 6 if :
It is divisible by BOTH 2 and 3.
E.g. 786: 6 is divisible by 2, therefore 786 is
divisible by 2.
7 + 8 + 6 =21 and 21 is divisible by 3,
therefore 786 is divisible by 3.
Hence 786 is divisible by 6.








A Number is Divisible By 7 if :
Take the last digit, double it and subtract it from the rest of its numbers. Check if the
result is divisible by 7.
E.g. 28: 8 x 2 = 16, 16 – 2 = 14 and 14 is
divisible by 7. Therefore 28 is divisible by 7.

Example: Is 2016 divisible by 7?
6(1) + 1(3) + 0(2) + 2(6) = 21
21 is divisible by 7 and we can now say that 2016 is also divisible by 7.






A Number is Divisible By 8 if :
The last three digits represent a number divisible by 8.
E.g. 3 792: 792 is divisible by 8, therefore
3 792 is divisible by 8.

Example: 6008 - The last 3 digits are divisible by one, therefore, so is 6008.









A Number is Divisible By 9 if :
The Sum of its digits is divisible by 9.
E.g. 36 792: 3+ 6 + 7 + 9 + 2 = 27 and
27 is divisible by 9. Therefore 36 792 is
divisible by 9.


For example: 43785 (4+3+7+8+5=27) 27 is divisible by 9, therefore 43785 is too!







A Number is Divisible By 10 if :
It ends in a zero.
E.g. 320: 320 ends in a zero, therefore 320 is
divisible by 10.






A Number is Divisible By 11 if :
The difference between the sum of its
odd-position digits and the sum of its even-position digits is divisible by 11.
E.g. 957: (9+ 7) – 5 = 11 and 11 is divisible by 11.
Therefore 957 is divisible by 11.





A Number is Divisible By 12 if :
It is divisible by BOTH 3 and 4.
E.g. 684: 6 + 8 + 4 =18 and 18 is divisible by 3,
therefore 684 is divisible by 3.
84 is divisible by 4, therefore 684 is divisible by 4.
Hence 684 is divisible by 12.


Monday, March 12, 2007

Math Holiday Homework - Create a Tessellation!


Gentlemen, you have to go to 'Sharepoint' to read up the tutorial on how to create a tessellation.
You may want to view this tutorial too. But you need to have 'JAVA' plugin install for your browser.

http://arcytech.org/java/patterns/patterns_j.shtml



Try this website for really advanced stuffs of the world of tessellations!
1) http://www.mcescher.com/
2) http://library.thinkquest.org/16661/escher/tessellations.1.html


On Wednesday night, I will post the Science Homework.