Friday, April 11, 2008

Friday, April 11

The class started with some notes on natural logs.
We then did some examples.

This is our assingment.

Wednesday, April 9, 2008

Happy Birthday CHIEF!

Keep your stick on the ice.

April 9th

Fellow Classmates,

Well as I am sure you all have noticed, Mr Max is not present again today. I saw him briefly before class and he said the test is STILL ON for tomorrow.

Key points to remember while studying for the test...
5log(x^4) - 6log(x) - MAKE SURE YOU DIVIDE WHEN SUBTRACTION IS USED!
answer: 30 log ((x^4)/x)

5log(x^4) + 6log(x) - REMEMBER TO MULTIPLY WHEN ADDITION IS BEING USED!
answer: 30 log (x^4)(x)

Good luck on the test tomorrow..
Accelerated Math deadline next Friday - 30 objectives!

Thanks,
Cramer

P.S. Keep your elbows off the table

Not Much...

Very little (read: nothing) happened in the way of instruction on my scribe day so unfortunately I have very little to write about for my blog post...

At any rate, here are a few interesting links:

http://www.math10.com/en/math-games/3D-logic.html

This is simply a 3d logic game - just connect the squares. I thought it would be pertinent to our math glass since logic skills and mental three-dimensional rotation skills are closely related to mathematical aptitude.

Also for the more verbally inclined:

http://www.freerice.com/index.php

Just a simple vocabulary test, only with a little extra feature: for every word you get correct, the site will donate 20 grains of rice though the UN World Food Bank to help end world hunger.

Also for the budding autodidacts among us:

http://en.wikipedia.org/wiki/Natural_logarithms
http://en.wikipedia.org/wiki/E_(mathematical_constant)

Enjoy!!!

Monday, April 7, 2008

The Homework Argument

Tagging along on Cindy's idea, I have found a couple more articles that talk about the pros and cons of the infamous "homework". Here are links to two articles that have been published in Maclean's:

Homework Hysteria
http://www.macleans.ca/article.jsp?content=20071128_96876_96876&source=srch

Interview with Alfie Kohn, author of 'The Homework Myth'
http://www.macleans.ca/article.jsp?content=20060911_133063_133063&source=srch


And finally, here is one I found on the website for The Washington Post:

As Homework Grows, So Do Arguments Against It
http://www.washingtonpost.com/wp-dyn/content/article/2006/09/11/AR2006091100908.html

So, for anyone who would like some extremely good points to tell teachers next time they assign mounds of homework( I do believe a couple of teacher's names were brought up...)check these out. Maybe our school board will decide to restrict the amount of homework(unfortunately, probably not in our final few months here).
Today Mr. Max went continued with logarithms.
I hope everyone finished all their assignments that were due.
Hope you had a good spring break.















Were halfway there, keep on trying!

Change of Base

Well technically this was our last class before SPRING BREAK since tomorrow those of us who aren't cramming for accelerated math objectives will be cheering on cramer at team stuff day.

Anyways today he taught change of base theorem, which is needed when the base isn't 10. Below is the derivation of the formula you need( the thing in the box).

Then he showed us examples.. both with and without a calculator.


And then.. of course.. the dreaded HOMEWORK .

Also with regards to that last comment on dreaded homework.. i saw this on the news.. great idea if you ask me.. have a read...
http://www.oxfordlearning.com/letstalk/no-more-homework/
Yes this is extremely late.. partly because i had trouble logging into blogger.. AGAIN.. nevertheless.. my apologies.. also tecnically this isn't the last class before spring break and we do not have team stuff day tomorrow.. sorry for those of you who might have got their hopes up... Anna..

Friday, April 4, 2008

Identity Examples


Thursday, March 27, 2008

Work Class/Team Stuff Day

Due to the activities taking place today, attendance was optional. Therefore, we had a class to work on Accelerated Math and ask Mr. Maksymchuk questions. I found it to be a pretty productive class and I hope everyone else did too. Being the kind teacher that he is, Mr. Maksymchuk hasn't assigned us any homework over Spring Break. Recall though, that he assigned all of Exercise 23 yesterday and it would probably be a good thing to do some of the review questions of earlier exercises.

Here's a link to a slide show of some really cool math tricks that will make everyone think you're a genius! (As if they didn't already know that.)
http://www.slideshare.net/simonesu/amazing-math-trick

Good luck to Cramer's team in Team Stuff Day!

Have a great Spring Break everyone!

Bethany

Tuesday, March 25, 2008

Logarithm Laws

Greeting peers today in Mr. Max's dictatorship, I mean class, he started by trying to recruit more students for the national math competition on April 15.

After this largely unsuccessful attempt we dived head long into logarithm laws which are largely based on rules for exponents that we already should know.

Exercise 22 1-14 was assigned and don't forget about the 19 accelerated math objectives due on thursday





http://www.swop.net/

Graphmatica

best. program. ever.

adding to Amy's post

So as you all know, today Mr. Max taught us about logs!



He began with explaining to us what a log was, and it is really just another type of notation that can be used to express things such as really big numbers and it is the inverse of an exponential function.



He also explained what the parts of a logarithmic function were.

In the function:

x = b^y --> x is the argument, b is the base, and y is the argument.



In the second screen shot, he then went on to show us how to write exponential funtions in logarithmic notation and vice versa.



In the third screen shot he showed us a logarithmic function that does not exist. This is because if you try to sub in a +2 for the x value you wont arrive at a -4 and if you sub in a -2 for x, you will end up with a +1/2

On the fouth and fifth slides he graphed examples of logarithmic functions, and on the following slide he gave us a list of 8 common log properties.



Exercise 20 #'s 1-12 and Exercise 21 #'s 1-8 are due for tomorrow!



Hope these notes were helpful and have a great day!







Anna

Monday, March 24, 2008

LOGs

Hello everyone. Today Mr. Max taught us about LOG's. We defined them and wrote some notes about the properties of LOG's. Here are the screenshots from today:











Seems like it won't be too terribly hard. He also reminded us that doing the cumulative excercises really does help.

He also gave us a game plan for the week:

Monday(today)-define LOG's
Tuesday-Law's of LOG's
Wednesday-Solving LOG's with theorems
Thursday-Natural LOG's("i")

Some notes about Thursday:
-Mr.Max is planning on teaching a lesson, so if you haven't signed up for "Team Stuff Day", DONT!
- 19 Objectives are due on Thursday at 3:40! Don't leave it till the last minute(like I tend to do...)

Well, since there will be more people than just me putting stuff up today, I'll keep it short and sweet. You can hear what they have to say. Later!
Amy


Thursday, March 20, 2008

Hand In Assignment

Exponential Functions

Hey class,
So today Mr. Max taught us a few things on Exponential Functions, beginning with identifying some of the parts of a function and some useful terms that we should iNvEsTiGaTe
:


*this picture above shows what an increasing or decreasing graph would look like


*He also explained to us what a discontinuous function would look like







and here he explained the one to one property, this is a property in which there can only be one corresponding domain value per output value






He also made us a list of perfect squares and cubes that we should try to memorize, and our assignment is posted above along with the blog question that he will have posted for us at the end of the day. Have a great Easter weekend everybody!!
~Anna














So i was checking Edline last night and when i saw my math mark i had a mild heart attack. Turns out I forgot to post those examples and i am so sorry since maybe if i had it would have helped someone with the test we wrote.. my apologies. I'm hoping that i can still get a mark for this but even if i don't i thought i'd do it for the benefit of my classmates.
So here she is:

1. Find exact value of sin75.

sin(30+45) = (sin30*cos45)+(cos30*sin45)
= [(1/2)*((sqrt.2)/2))]+[((sqrt.3)/2)*((sqrt.2)/2)]
= ((sqrt.2)/4)+((sqrt.6)/4)
= ((sqrt.2)+(sqrt.6))/4

2. Simplify sin5xsin3x- cos5xcos3x.
= -(cos5xcos3x+sin5xsin3x)
= - cos(5x+3x)
= -cos8x

Better Late Than Never

Well, I finally figured out how to do these examples! I may not get marks for them, but I guess the main thing is that I know how to do them.

Example One: Determine the exact value of sin135
sin(90+45)=sin90 cos45 + cos90 sin45
= (pi/2)(sqrt.2/2) + (0)(sqrt.2/2)
=(sqrt.2)(pi)/4

Example Two: Simplify: sin6xsin4x - cos6xcos4x
= -(cos6xcos4x-sin6xsin4x)
= -cos(6x+ 4x)
= -cos10x


Amy

Wednesday, March 19, 2008

Wednesday, March19

Today was test day. I found it to be quite complicated.

I do not know what to write about to benefit the class mathematically so here are some random funny things because humour is beneficial in its own special way.


rinkworks.com/graffiti/g/math.png
That is a true mental breakdown.(I couldn't get the picture to appear clearer)

www.saynotocrack.com/img/geometry/question3.gif
This one also made me laugh.
And now some jokes.
Teacher: What is 2k + k? Student: 3000!
Q: What do you get if you divide the cirucmference of a jack-o-lantern by its diameter? A: Pumpkin Pi!
Q: Why do you rarely find mathematicians spending time at the beach? A: Because they have sine and cosine to get a tan and don't need the sun!
Q: Why do mathematicians, after a dinner at a Chinese restaurant, always insist on taking the leftovers home? A: Because they know the Chinese remainder theorem!
Teacher: "Who can tell me what 7 times 6 is?" Student: "It's 42!" Teacher: "Very good! - And who can tell me what 6 times 7 is?" Same student: "It's 24!"
A math student is pestered by a classmate who wants to copy his homework assignment. The student hesitates, not only because he thinks it's wrong, but also because he doesn't want to be sanctioned for aiding and abetting. His classmate calms him down: "Nobody will be able to trace my homework to you: I'll be changing the names of all the constants and variables: a to b, x to y, and so on." Not quite convinced, but eager to be left alone, the student hands his completed assignment to the classmate for copying. After the deadline, the student asks: "Did you really change the names of all the variables?" "Sure!" the classmate replies. "When you called a function f, I called it g; when you called a variable x, I renamed it to y; and when you were writing about the log of x+1, I called it the timber of x+1..."
Q: What is the most erotic number? A: 2110593! Q: Why? A: When 2 are 1 and don't pay at10tion, they'll know within 5 weeks whether or not, after 9 months, they'll be 3...
Trigonometry for farmers: swine and coswine...
Q: How does a mathematician induce good behavior in her children? A: `I've told you n times, I've told you n+1 times...'


And finally for gregs benefit, the rock lobster video.

I hope you enjoyed my random post.

Tuesday, March 18, 2008

identities sum and differences

Ok now being only a couple days late for this due to some technacal difficulties with logging on to blogger for some reason i can now conribute my wise learnings, I keep trying to tell myself this anyways, in the form of two examples.

So hear is exhibit A using the identity Cos(a+b):

= Cos(A)* Cos(B) -Sin(A)*Sin(B)

= Cos(5x)*Cos(2x)-Sin(5x)*Sin(2x)

= Cos(5x+2x)

= Cos(7x)

And now for exhibit B which is like A in reverse and more specific:
Cos(75 degrees)
= Cos(45 degrees+ 30 degrees)
= Cos(45)*Cos(30)-Sin(45)*Sin(30)
= (sqr(2)/2) * (sqr(3)/2) - (Sqr(2)/2) * 1/2
= (sqr(6)/4) - (sqr(2)/4)
= (sqr(6)-sqr(2))/4

Well hope this helps someone
Aloha, everyone. Today Mr. Max assigned Excercise #17, 1-12; and Excercise #18, 1-16. We get all of today's class to work on them and study for tomorrow's test.







He also told us that the test will be the same as the pre-test, but with different numbers. Since the whole pre-test idea seems to be liked by the whole class, we will continue to get pre-tests before each of our real bi-weekly tests.







One last thing-The latest due date for Accelerated Math is March 27th with 19 objectives.







Well good luck on the test tomorrow everyone!







Amy






from my.opera.com/offspring/blog/show.dml/359734