Friday, December 19, 2008

Merry Christmas from Room 6

Each year the fall term seems to pass faster than the last. I think that’s why the holidays have become so important to me because no matter how busy I’ve been I always get some time to reflect on the past year, put things into perspective, and most importantly take some time to be with my friends and family.

I’d like to wish all of my students and their families a Merry Christmas and a Happy New Year. May you find joy in the time we have to spend with each other now and in the year to come.

Circuits Practice Test

...and so in the last class before the festivities began the physics teacher gave to his students...

Some physics homework!

The link above will take you to the answer key. I wrote it up in a hurry so there are pretty much just the answers, but it should hold you until we see each other in the new year.

Happy Holidays!

Thursday, December 18, 2008

Functions

Today we learned of a new type of relation called a function. The notes should explain most of it, but be sure to read the examples in your module.

When we come back we'll be looking into something called an arithmetic sequence and series. Take a short read of those lessons before you return.

Power in Electric Circuits

The link above (the title) will take you to today's notes. In planning for the holiday's I will have two old tests for you to work on (Chapters 14 & 15), and if you would read 6.5 before we will be in good shape come January and the dash to the final exam.

Have a great holiday.

Monday, December 15, 2008

December 15

Hope everyone stayed warm this morning...

Physics

Pre-Calc 20-you'll be reviewing today for your test tomorrow. If you have questions leave me a comment below the post or an email and I'll try to get back to you before tomorrow.

Pre-Calc 30-the longest video ever!

TMath 9

Sunday, December 14, 2008

A bit of a catch up day...

The link above will take you to the key for the Chapter 13 practice test you did for me last week. Once you're done with that give chapter 14 a read (yes almost all of it-up to 14.8). Most classes find this chapter pretty straight forward and I thought that we'd try and tidy it up this week.

See you tomorrow.

Rational Functions

The link above will take you to a website called "The Math Page". It's generally an excellent web site regarding almost every topic in high school math. On this topic its not bad (I would have included more graphs).

If the video isn't enough, take a look at the link above (click on the title).

Scientific Notation

Good afternoon everyone.

The link above (click on the title of this post) will take you to one of my favorite web pages for math. The author of these pages has done a wonderful job of explaining almost everything involved with high school math.

Read the section and take a look at your worksheet-have 1.7 finished for next class. See you on Wednesday.

If you have questions you can leave a comment (link below the post), email me, or drop by at noon tomorrow.

Good luck (and be good for Mrs. L!)

Thursday, December 11, 2008

Using the Remainder Theorem

The link above will take you to today's notes. Homework for tonight should be the assignment for lesson #3...if you get a chance please read through lesson #4

Solving Rational Expressions

Here you go...just remember you asked for this!
...and apparently there is a mistake in one of the examples...see if you can find it.

Addition and Subtraction of Rational Expressions

We watched the video (click the title of this post) and worked on Lesson #6. For homework tonight I would like you to read lesson #7 and copy the examples into your notes. Your feedback about the posted video was helpful and I will attempt to do more posting.

A question that came up during class was #7:

  • In the first line I factored the denominators
  • Then I found a common denominator
  • And simplify

Remember that your test is on Tuesday next week.

Wednesday, December 10, 2008

Remainder Theorem (Part 1)

We discussed how to confirm the inverse of a function by evaluating the composition of the two functions. That is to say that for any two functions f(x) and g(x)

if functions f and g are inverses.

The question we did in class was rather heavy on the fractions, but evaluation of the composition of the two functions is a way to prove that they are inverses.

As for the Remainder theorem, we reviewed the division of polynomials, factoring quadratic expressions, and solving quadratic equations for x (when y=0). Then we looked at how those are related to the zeroes of a function. For tomorrow I'd like you to read Lesson #3 over and I begin to show you the 'short way' of finding factors of any polynomial!

Exponent rules part 2

Today's notes...with some short examples. Have 1.8 finished for Friday, but don't hesitate to start 1.9 (that's Friday's assignment along with some exponent practice).

Tuesday, December 9, 2008

Inverse Functions

The link above will take you to the notes and examples we discussed today. Posting them with First Class seems to be easier for the short term so I'll see how that goes and perhaps if you find it useful I'll post some other things there as well. The homework discussion is posted HERE.

If there are any other questions you'd like to see solutions to don't hesitate to comment below and I'll put something together for you.

I was thinking about our discussion today about planning and I thought I'd take this chance to remind you to find a calendar or weekly planning sheet you can bring with you for tomorrow so that we can begin "planning for our tomorrows."

December 9 in PC 20

I'm trying something a little different. Below are some links to the notes and homework discussions we had today. My hope is that I will be able to provide you with a history of the notes and things we work out in class. This does not mean that you are no longer responsible for writing these things down in class, but you can use it as a resource if you're away.

If this works out well, I may post assignments and solutions here as well. Leave a comment if you find this helpful in some way.

Lesson 5 notes


Lesson 4 Homework Discussion

Monday, December 8, 2008

December 8

I thought that everyone would appreciate an opportunity to do some catch up and review today, so there's only one video for the grade 9's today.

Enjoy!

Thursday, December 4, 2008

Testing LaTeX


\Huge

\int_{0}^{1}\frac{x^{4}\left(1-x\right)^{4}}{1+x^{2}}dx
=\frac{22}{7}-\pi

\[
x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}
\]


\[
x = \pm \sqrt {3x^2 }
\]

Tuesday, December 2, 2008

13.5: Electric Field Mapping

Definition: A field is a region in three-dimensional space in which a property or quantity, such as a force, may be distributed.

This means that we will begin to not just look at the forces involved between several objects, we’ll look at how the forces are distributed around the field.

Charges in a field possess Electric Potential Energy. Lines drawn to connect areas of equal ‘Potential’ are called equipotential lines.

Drawing Electric Field Lines
1. Always drawn from positive towards the negative.
2. The stronger the field, the more lines we draw.
3. Equipotential lines are perpendicular to Electric Field Lines.

For homework tonight, please read section 13.6 and complete the chapter review questions for 13.4.

Header Graphic: http://ann-s-thesia.com

Thanks.