Tuesday, May 30, 2006 

Scribe Post - 05/30/06

Sequences
The Scribe Post - May 30, 2006

- We only have one class today, since Caitlin wasn't in our class, Stephanie decided that I should go instead but anyways. Here is what we did.......


Mr. K directly putted up 4 Sequences while the announcers are speaking. He asked.

Find the next three Terms.....


4, 7, 10, 13, ?, ?, ?
3, 6, 12, 24, ?, ?, ?
32, 16, 8, 4, ?, ?, ?
2, 3, 5, 8,12, ?, ?, ?
The Answers.....

4, 7, 10, 13, 16, 19, 22
3, 6, 12, 24, 48, 96, 192
32, 16, 8, 4, 2, 1, 1/2
2, 3, 5, 8, 12, 17, 23, 30
How did we find out?

It is actually easy to find out, what is the next number of these values, IF YOU HAVE COMMON SENSE; we're not actually talking common sense in here, but I would like to say we're talking about math and here how it goes.

We see in 4, 7, 10, 13, 16, 19, 22 this values have all the same differences, and the difference between this numbers is THREE ( 3 ). It is easy to see that 3 is the difference, there is also another way to do it.


One of the way we can solve the number is by 3 (The Differences) multiply by the numbers right up the value and add 1.




The right equation for this Sequence is tn = n3 + 1 This is the RULE.


If you would to find out what is the next term without finding the TERM BEFORE THAT, this is what we called the RECURSIVE DEFINITION. The other definition for that is ..... Do the same thing to get the next answer is the ReCursive Definition.


For EXAMPLE, if you would like to find the 7th term without finding out what is the 5th, and the 6th terms. The equation for that is........


We need to put in the First term then we add the Number of Columns then minus 1 from it since there is only 6 in between and in between that's the differences and the Difference for this value is 3.


TO SOLVE THE EQUATION BY FINDING THE TERM 7...this is how is goes.

T7 = 4 + (7-1) 3
--- = 4 + (6) 3
--- = 4 + 18
--- = 22


( The SEQUENCE THAT HAVE A COMMON DIFFRENCE IS WHAT WE CALLED ARITHMETIC, and one example is right above*)


FOR THE NEXT SEQUENCE.


3, 6, 12, 24, 48, 96, 192

(This sequence is what we called GEOMETRIC, by having COMMON RATIOS in all the values*)


This is how we solve the equation, by finding the term without looking for the number before that value.







Tn = the term you are looking for
T1 = the first term
r = the ratio
n-1= the number of columns minus 1


T7 = 3 (2)^7-1
T7 = 3 (2)^6
T7 = 3 (64)
T7 = 192


The last two Sequence are also GEOMETRIC, because they don't have a common differences.


Then later on that period Mr. K told us about the Implicit and Explicit.


Implicit is a cuirrent inside suggestion

Explicit is a high current outside.


There is one more way we can find it, the LAST ONE IS IN OUR CALCULATOR. First we need to check if our mode is in SEQUENCE, so CLICK MODE, Go to the 4th row then choose SEQ.Then we enter our information in our Y= screen, and then we need to check our window for a better view.


To generate:
Go Second Quit
Enter in your calculator:
u by 2nd, 7 the bracets (First Term, and the up to what term would you like to see)
Then we store it in our L1.


MR.K also SAID THAT ADD UP SEQUENCES IS CALLED SERIES.


I don't know if I'm doing good at this scribe post this time, damn I shouldn't have wait for a day to fix this up now my memory is kind of loosing it.




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Sunday, May 28, 2006 

3D Tic-Tac-Sunday!



Better late than never. ;-)

I missed the Sunday Funday post last week and I really don't want to make that a habit so this week I'm posting two versions of this week's game ... 3D Tic-Tac-Toe. Here are the instructions for the game pictured on the left (may take a little while to load) ...

The object of 3D Tic Tac Toe is to get four in a row horizontally, vertically or diagonally on one plane or across all four planes.

You are Red, the Computer is Blue. In the first game, you go first. In subsequent games, the loser goes first. If the game ends in a tie, whoever went first will do so again.

The moves of the game are notated on the right. Moves that threaten a win are noted with an *. The Computer plays a strong, but not unbeatable game. Good luck!!!


These are the instructions for the game on the right ...

This game is basically a 3D tic-tac-toe, except that the rules have been changed to keep the first player from winning all the time. Here you have to form two rows that meet at a right angle (in the shape of an "L").


Have Fun!!




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Thursday, May 25, 2006 

B.O.B(Ivy 05/25/06)

The Periodic Function Unit (B.O.B)

hmmm....This unit for me at first was easy..but when we got to this problems now I'm in trouble...I didn't find A,B,and D hard to get but C is. About C first I was cool with it, by doing the sketch by looking at the formula y=AsinB(x-C)+D and by converting formula to sketch it was cool. I also like doing the converting Radians to Degrees and the other way. I really do need to review, like whoa...for the last units we have, I never did study and I ended up failing the tests, and I really do feel bad about it, one thing is I also keep hustling, and just let my studies go for a passing mark, oh whatever.. but yeah, need to focus this is the last time I'm going to study math.. ahehehehe. Oh. Yeah..I also feel bad about missing the last class this afternoon




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Friday, May 12, 2006 

Scribe (Ivy-5/12/06)

Today we have 2 classes.....

First class we finish everything that it needs to be done ,
and I guess most of us... didn't finish everything....hehe...

Second class.....we did this Personal Financial Assessment..it was kind of a test... if someone miss the 2nd class they better take the assessment..eyy..I guess i'm going to edit this later... need to go to work.. well I'mworking midnigts....

and next scribe will be STEPH.




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Sunday, May 07, 2006 

Kakuro Sunday

'A Kakuro consists of a playing area of filled and empty cells similar to a crossword puzzle. Some black cells contain a diagonal slash from top left to bottom right with numbers in them, called “the clues”. A number in the top right corner relates to an “across” clue and one in the bottom left a “down” clue.

The object of a Kakuro is to insert digits from 1-9 into the white cells to total the clue associated with it. However no digit can be duplicated in an entry. For example the total 6 you could have 1 & 5, 2 & 4 but not 3 & 3. Sound simple? Be warned it gets hard and is as addictive as Sudoku.'

Click here for more Kakuros.

(Thanks again to Think Again!)




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Tuesday, May 02, 2006 

Vectors Review Links

It's a little late but here are the links I promised you ...



We'll put some notes on this in your math dictionaries tomorrow in class. ;-)




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