Partial Sum Examples

At the beginning of class we were shown a blog post that was about a teacher's view of smartboards and sympodiums and how he believed they were a waste of money. Here is a link to that blogpost if you'd like to check it out: http://teacherleaders.typepad.com/the_tempered_radical/2010/01/wasting-money-on-whiteboard.html

Today we did 3 more example dealing with partial sums. Here's the slides that have the examples:

*Our assignment for today is to do questions 1-9 on Exercise 47.

**Reminder: Exercises 48, 49 and 50 are the last 3 exercises left. They are all review so you should challenge yourself by doing all 3 completely without using the answer key/solutions. This is really good practise for the upcoming pilot exam next Thursday!!

Binomial Theorem

Binomial theorem is defined as (a+b)^N where N equals a natural number.

See these terms??? (look up), well, look at the cool patterns within them (look down)

Here is an example showing how to use the binomial theorem:

Here is an example showing how to find a certain term within an expansion:

Here is another example showing how to put the binomial theorem to use:

This nifty picture down here is Pascal's Triangle. What you'll notice is that if you add any two numbers beside eachother, their sum is the number found directly below it. Example: 6+15=21

Homework:

Exercise 32, Questions 1-10

Exercise 33, Questions 1-10

Exercise 34, Questions 1-10

Below is a calendar of our next few weeks of school before the end of the semester.

-November 29th to December 1st we will be learning BINOMIAL THEOREM
-December 2nd to December 8th we will be learning CONICS
- December 8th and 9th we will be given time to review
-December 10th will most likely be our test
-December 11th to December 17th we will learning PROBABILITY
-December 18th we are off for Christmas Holidays!

-January 4th to January 11th we will be learning SEQUENCES

-January 12th to the 19th we will be doing review, but remember PILOT EXAM IS JANUARY 14th, and our FINAL EXAM IS JANUARY 20th

Brett's Test Question

Question:

1. a) How many 6 letter arrangements can be made using the letters M A T T E R ? Give your answer as a whole number. (1 mark)

b) How many 6 letter arrangements end with T T? Give your answer as a whole number. (1 mark)

c) How many 6 letter arrangements can be made if the letters M T T R must be together? Give your answer as a whole number. (2 marks)

Solutions:

1. a) 6!/2!= 360


b) _ _ _ _ T T
4!= 24


c) (3!) (4!/2!) = 72

**3 groups, 4 consonants, 2 t's


GOOD LUCK THURSDAY!

Work Period

Today was early dismissal, so our math class was only 40 minutes long. Instead of learning something new, we were given time to work on our exercises that were previously assigned to us. There will be a homework check either tomorrow or Thursday on exercises 11-20, so make sure you get everything done! We should also be working on our Accelerated Math.

By the way, this week is Media Literacy Week!
Basically, its a week to promote the proper understanding and techniques of media education. You can learn more about it on this website: http://www.medialiteracyweek.ca

Transformations- Absolute Values

Today we learned how absolute values can be understood as a piece-wise function (the function can be split into one or more pieces).

Definitions of an Absolute Value:
|x|= x if x is greater than or equal to 0
|x|= -x if x is less than 0

Example: When graphing y=|f(x)| :
|f(x)|=f(x) if f(x) is greater than or equal to 0
|f(x)|= -f(x) if f(x) is less than 0
The domain of |f(x)| is the same as the domain of y=f(x), but the range of y=|f(x)| will be f(x) is greater than or equal to 0.

I don't think I am making any sense... so I found this website that may help.
http://www.analyzemath.com/Graphing/Graph_Abs_Val_Func.html

Assignment: Exercise 11, Questions 1-12