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Saturday, March 25, 2006

A del.icio.us idea ...

We talked about this in class on Thursday. Students often find more, and better, sites than I do. You're better websurfers than I am. ;-) That got me thinking .....

I spend a lot of time looking for good websites that help us learn in this class. But what if we all spent a little time doing that? What if there was an easy way for us to both save our bookmarks (without cluttering up our favourites list) and share them with the whole class with the click of a single button? And what if we could access those bookmarks not just from home, but from any computer in the world? Hmmm .....

Well, there is an easy way to do that! Instead of saving bookmarks on your home computer sign up for a free account at a site called del.icio.us. You can then access them from any computer in the world. You can easily install a little button/bookmark that allows you to save any webpage you're looking at without interupting your surfing. Now we can all make recommendations to each other learning resources with the click of a single button in our del.icio.us accounts! Tag it using this tag:

cal45s

You should also tag each entry with several other words that indicate what it is about; things like: trig graphing stats circles etc. Also, include a brief descriptive clipping from the site (or type one in yourself).

As soon as someone starts saving links I'll add a del.icio.us box to the bottom of the sidebar of our blog. It will show the 10 most recently saved links automatically as you find them. There is will also be a link to the entire archive that you can browse at your leisure.

You can read this tutorial on how to get started with del.icio.us. You might also be interested in watching this screencast that illustrates just how powerful this web tool is.

Remember, this is part of your homework for Spring Break. You must save at least two links for each unit we have studied so far. Try not to post a link that someone else has already found. You can see what's already been posted by looking in our archive.



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Thursday, March 23, 2006

Derivatives of, and Definitions of a derivative

So, I'll start my scribe now, since it involves no pictures, it should be quick n' easy. Woohoo! Anyways, here I go, Enjoy!

I came late to Calculus (oh no!) by 15 minutes (a big oh no!), so I missed the quiz. Alarm didn't go off, mom did. Boy that wasn't fun. Anywho, we wrote in our math dictionaries. The notes looked like this:

Derivative of:

A constant function

f(x) = k f'(x) = lim f(x+h) - f(x)
h->0 h

The Derivative of a = lim k-h
constant funcion h->0 h
is ZERO.
= lim 0
h->0 h

= 0

A linear function

f(x) = mx+b f'(x) = lim f(x+h) - f(x)
h->0 h

The limit of a = lim [m(x+h)+h] - [mx+b]
linear function h->0 h
is the slope of
the line. = lim mx + mh + b - mx - b
h->0

= lim mh
h->0 h

= lim m = m
h->0


So, after all those notes, Mr.K said, we are to do something different, but are going to go back to that stuff up there in future classes. He needs to pay attention to these things first he says. So, different notes, but related, are appearing on the board.

The Definition Of A Derivative

f'(x) = lim f(x+h) - f(x)
h->0 h

A derivative is:

The slope of a tangent line
A rate of change


A summary of derivative rules.

Constant function : f(x) = k f'(x) = 0
Power function : f(x) = x^n f'(x) = nx^(n-1)
Constant times a function : f(x) = kg(x) f'(x) = kg'(x)
A sum or difference of a function(s) : f(x) = g(x) +/- h(x) f'(x) = g'(x) +/- h'(x)

*note the +/- is the + over the - , so we're not dividing here. I couldn't find that character on the character map. Sorry for the incovinience.

Ex. Find the derivative of :

f(x) = 3x² - 2x + √x - 5
f'(x) = 3▪2x - 2 + (1/2)^x^-1/2
= 6x - 2 + 1/2√x

*note the √ is square root, and the ^'s are to the power of. Since I've never done a proper scribe, tell me all those commands that give it the oh so nice look.

I hope this helps. Next scribe will be Temesgen.

But now, there's only 2 of us, Calvin dropped, so, we have to work something out. Scribing once a week is a lot of work!

Enjoy!



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Tuesday, March 21, 2006

Derivative

In todays class we started with a quiz as usual. And Mr.k wrote 4 question on the board which's similar to the question below:


And if you were ask to write the equation of the line tangent to f(x) first thing to do:
  • find the slope of the tangent
  • (1,y) find the y value by substituting the 1 into the equation
  • which in this case is y value = 15
  • (1,15) and slope m=8
  • Use the y-y=m(x-x) to write the equation

Page 30-36 was assigned for homework and page 16 in the blue booklet. Next scribe is calvinw.




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Sunday, March 19, 2006

Scribe

Sorry for the delay in the post. Just been busy for the weekend. This scribe post will be for Thursday, March 16, 2006. So here I go.

We started class with a small multiple choice quiz. It consisted of 4 questions and the quiz lasts 8 minutes, and begins at the start of class.

So we discussed a tangent line.




















ex. f(x) = x² @ x=3

f(3) = (3)²

= 9

f(3+h) = (3+h)²

= 9 + 6h + h²

d y = lim f(3+h) - f(3)
d x h-> 0 h

= lim 9 + 6h + h² - 9
h ->0 h

= lim 6h + h²
h ->0 h

= lim 6+h
h->0

= lim 6
h->0

There, revised. That's what I originally wanted it to look like. Sorry if it still doesn't help.

Next scribe is Temesgen



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Box Up Sunday!

This is a clever little game. You've got to get the small blue box inside the large red box. You can only push a box from the inside. The black boxes, if used cleverly, can help you get the blue box inside the red one. But sometimes they're just in the way. I made it to level 4 pretty quickly, but then it starts getting tough. How far can you go? ;-)

Have fun with this!




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Saturday, March 18, 2006

Challenge


challenge
Originally uploaded by laniritterhall.
I'm wondering if this challenge has anything to do with calculus? Can you help me out?

Best,
Lani



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Wednesday, March 15, 2006

The "New" Guy

Now I bet you guys have been wondering who this Gerald (M) character is under the contributors list for a while now. While I did mean to introduce myself earlier, now is better than never. I, Gerald (M), am a member of Mr. K's mentorship project, and while I don't claim to have all the answers, you can rest assured that I will try my absolute best you help out any way possible (and hopefully not make things any worse, as I am also just a student).

"Do not worry about your difficulties in Mathematics. I can assure you mine are still greater."

- Albert Einstein



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Tuesday, March 14, 2006

Seek and ye shal find ....



The Coin Hunt has officially begun as of 12:30 this afternoon. The race is on! Who will be the first to find the coin? Will the students find their coin before the teachers find theirs? Who will win the pizza party? Which charity will benefit from this year's hunt?

Check the walls of the building as you walk into school in the morning for hints to figuring out the puzzles.

Happy π Day!!
Have fun with it. ;-)



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Sunday, March 12, 2006

Sunday Knight



How far can you go? Play here! ;-)



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Thursday, March 09, 2006

scribe.

sorry about the late scribe, didnt know that i was yesterdays. well yeah, we did a quiz and then we did review on the limits. test tommorw. van your next after the test.



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The Mystery Coin Hunt!

π Day is around the corner .. it's five days away! Soon, soon, the hunt will be on!




Somewhere on the property of DMCI a coin will be hidden. Hidden so carefully and cleverly that it cannot be discovered by chance or simply by looking for it. On March 14, π Day, the coin's location will be revealed buried in a series of riddles and puzzles. Until it is discovered the coin's location will remain a mystery....





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Tuesday, March 07, 2006

Limits

March 6
In today’s class we did a pretest on Limits and a review for unit of Limits was giving for homework. The next scribe is calvinw.



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Sunday, March 05, 2006

Sunday Gridlock



In this game you have to move the blocks (vertical blocks move only vertically and horizontal blocks move only horizontally) out of the way so that the blue block can slide out the "door" on the right. Although this game can sometimes get frustrating there is always a way out. Remember Sisyphus!

So far I've made it to level 6, how far can you get?



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Saturday, March 04, 2006

Scribe for March 2

In today's class we just work on the exercise booklet. The next scribe will be Me again.



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Thursday, March 02, 2006

It's Coming ....

Scribe for tuesday Feb 28

Sorry for such a huge delay, I didn't know I was scribe for this day. CALVIN didn't TELL me, so I never knew. Some help he was. Anyways, on to the scribe.

So, for that day, we started off the class by having Mr.K tell Calvin and I about how homework is important, and that, you will fail if we don't do it. We nod and agree and so on. So, we sketch graphs, 3 different graphs, and they all have 3 kinds of something. (sorry I forgot that word)
(I may have to edit this later, I need to talk to Mr. K about this at lunch)

1. continuous
2. jump
3.

I'll continue this after I ask Mr. K about it at Precal-40 tomorrow. Sorry for the delay everyone.
Next scribe will be Temesgen



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