Today's Slides: January 17

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Did You Know?

Did you know I wrote this post last year and now I get to write it again?

Did you know I can see your classroom from two windows?!

My first window is your blog. I am excited by what I see and hear! I never cease to be amazed by the quality and sophistication of your scribes; you constantly achieve new heights in illustrating and annotating your scribes. More than that I am so impressed when you celebrate each others’ learning, when you are creative, and when you critically reflect upon your learning in your BOBs.

Did you know Mr. K’s blog is my second window? I admire and respect what I see and hear here too! Did you know that Mr. K celebrates your learning on his blog? that he reflects upon what best helped you to learn and why? that he unselfishly shares all he knows with those who read his blog? that he learns from the conversations on his blog? that he writes with passion and is creative? and that he commits many random acts of kindness by honoring other teachers’ accomplishments in his posts? Did you know all he expects of you, he shares those same expectations for himself?

Did you know that because of all that and more, Mr. K.’s blog has been nominated for “Best Education Blog” on the Canadian Blog Awards 2007 website?

I just happen to think that no one deserves this honor more than Mr. K.

What about you?

Scribe

Alright now in the morning we had a test on probability which I'm sure most of you did well on as it seem easy, all that review and group work payed off i guess.

As for the afternoon class we started to introduce our new unit a bit more, Sequences.

A Sequence is an ordered list of numbers that follow a certain pattern or a rule

we learn a few definitions as shown on today's slides:

we work on questions such as:

8, 14, 20, 26, 32, .......

we know by looking at this that it appears to be increasing by 6

so the next 3 values would be 38, 44, 50, but what will be the 56 value? the 116?

you could count all the way up to the 56th term but that's a lot.

so we can create a formula for this sequence.

So now to find a Common Difference

to refer to the Common Difference we use d.

To find d we will need to find the value of 2 terms tn and t(n-1).

so d=tn-t(n-1)

d=t2-t1

d=14-8

d=6

now to create the formula for this Sequence.

to find the nth term in an Arithmetic Sequence. we use:

tn=a+(n-1)d

a being the first term in this case 8

n is the "rank" of the nth term in the sequence which is 56 and 116.

d as we know is the common difference.

now that we have the formula we can find t116 and t56

t116:

Solution:
a=8
d=6
n=116

t116 = 8 + (116-1)(6)

t116 = 8 + (115)(6)

t116 = 8 + 690

t116 = 698 therefore the 116th term will be 698.

t56:
Solution:

a=8

d=6

n=56 (other values have stay the same only thing different is the n term of the sequence)

t56 = 8 + (56-1)(6)
t56 = 8 + (55)(6)
t56 = 8 + 330

t56 = 338 therefore the 56th term will be 338.

to find the implicit/linear function

using: y=mx+b we can find this function

since this sequence(8,14,20,...) is constantly increase by 6 we now that this is a linear function

we can create the equation is we know:

d and the y intercept

we already know d so lets find the y-int

m=d

b=y-int

x=n

So we already know: tn=dn + b

to find b we must find the oth term to do this we know the sequence increase by 6 so from 8, the 1st term we can find the 0th term

t0=8-6

t0=2

and there we have it t0, which is the y-int is b so the equation is:

tn=6n + 2

so to test this let use n=4 which is 26

t4 = 8 + (4-1)(6)
t4 = 8 + (3)(6)
t4 = 8 + 18

t4 = 26 therefore the 4th term dose = 26 to our first equation.

now is it the same for our implicit equation?

t4=6(4) + 2

t4=24+2

t4=26 same answer with less the work.

that's pretty much what we went over this class, now its time for me to choose a scribe at random..............ok done and it will beee: wendy

Today's Slides: January 16

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BOB

Well it is time again for us to BOB. This unit " probability" wasn't as tough as it was for me in past years of precal. However there were some new concepts and ways to solve questions that provided me with some difficulty. My muddiest point would be not knowing when to use the "Choose" and when to use the tree diagram. Somewhere along those lines I get a bit upset. Hopefully today I'll be able to do well on the test.

Last Minute BoB

VERY late Bob post and there is a perfectly good reason for this...which i have no business typing out here. Anyways on to the BOB!

The unit was quick. Just as we were learning the stuff and you think you got it all what should happen? He pulls combinatorics out of nowhere! COMBINATORICS! I seen that and was saying to my self "What in the H - E Double Hockeysticks was going on"

I guess the thing that gave me the most trouble was the the type of questions where we were given one of the probabilites then told to find what was the chance it was from the previous event. Like yesterdays pretest...we were told that john was late for class (or was it on time?) then asked to find what were the chances he brought his lunch. Those kind of questions were giving me quite a bit of trouble.

For a day or so i didn't understand the mutually exculsive idea, but it was soon resolved. I hope that i can just remember for the upcoming test.

B0B

heyyah! this been a combination of hard stuff and fun stuff. The probability that I gonna failed this test is 70% but if I study....it would be 40% anyways my muddiest part is choose formula although I understand it more every time I apply this to solve the probability.well...may we have a nice day tom.