Here they are ...
Friday, March 6, 2009
Thursday, March 5, 2009
The Fundamental Principle of Counting
Overview of Today
We started off today's class taking a quick look at the blog and then discussed the Bento picture (The first Slide for today). We discussed different ways to arrange the three vegetables in the yellow dish (came to the conclusion it was six). After that we reviewed the homework for last night, and moved on to The Fundamental Principle of Counting.
The Fundamental Principle of Counting
The Fundamental Principle of Counting states: If there are M ways to do a first thing and N ways to do a second thing then there are M x N ways to do both things (found on slide 7).
For Example:
You need to run your weekly errands and need to make a stop at a mall, a grocery store and a hardware store. In your area there are two malls, three grocery stores and two hardware stores approximately the same distance from your house. How many different possible routes are there that include stopping at one of each store.
First pick out the given information:
2 Malls
3 Grocery Stores
2 Hardware stores
Then multiply:
2 Malls x 3 Grocery Stores x 2 Hardware Stores
=12 Different Routes
For more practice:
http://regentsprep.org/regents/Math/counting/praccnt.htm
This site contains simple questions and explanations.
Important Things to Know:
Today there was not a great number of people who completed their homework and Mr. K was not thrilled. He has implemented Homework Quizzes. Mr. K will be checking our homework from a past date so it is important that we date our work as well as label the questions properly. The quiz will just be to hand in the question when it is asked.
There are a couple homework questions at the end of the slides.
Tomorrows scribe will be Alvina :)
Scribe Post for March 2nd
Hello everyone, today was a good day. It was a good day because Mr. K was back in class. I'm glad Mr. K is back and you probably are too.
Today's class was a slack class we did not really learn anything new, all we did was listen to Mr. K clarify what Dr. Eviatar was teaching us in the past week he was away.
He clarified the randBin feature on our graphing calculators. He also clarified The patterns in pascal's triangle.
Sorry the post is so short, there is not really much I can say other than that the class being as slack as it was it felt like a day off of math class.
The next scribe post will be... Jason
Wednesday, March 4, 2009
PROBABILITY
Hello everyone! We just discussed about the continuation of Pascal's triangle. It has many use like the representation of Fibonacci Sequence, Hockey Stick, and Sum of the Rows.
Fibonacci Sequence is:
- The sequence of numbers 1, 1, 2, 3, 5, 8, 13, . . . ., in which each successive number is equal to the sum of two preceding numbers.
- to understand clearly, you must follow the gray line in the image and in adding the numbers you must only count where the line pass through.
1 + 0 = 1, 1 + 0 = 1, 1 + 1 = 2, 1 + 2 = 3, 1 + 3 + 1 = 5 and so on.In Hockey Stick :
- " if a diagonal of numbers of any length is selected starting at any of the 1's bordering the sides of the triangle and ending on any number inside the triangle on that diagonal, sum of the numbers inside the selection is equal to the number below the end of the selection that is not the same diagonal itself. If you don't understand that, look at the drawing ".
in the green marked :
1 + 7 + 28 + 84 + 210 + 462 + 924 + = 1716
in the red marked :
1 + 6 + 21 + 56 = 84
and in blue marked :
1 + 12 = 13
About in Sum of the Rows :
- the sum of the numbers in any row is equal to 2 to the nth power, when n is the number of the row. For Example :
2ยบ = 1
2¹ = 1 + 1 = 2
2² = 1 + 2 + 1 = 4
2³ = 1 + 3 + 3 + 1 = 8
In addition to what we've discuss, Mr K. told us to create an account in Delicious.com.
First :
1.) go to delicious.com
2.) Join! or Sign Up to create an account
3.) after you fill up the information needed to make an account, the home page will pooped-up.
4.) click your name in the upper right side. Ex: James
5.) click How to get Started
6.) click also Install Firefox Adds-on if you don't have.
and that's all foks, I hope you will correct me if I have mistakes and missing information.
Tuesday, March 3, 2009
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