THANK YOU!

Thank you all for such a wonderful semester! I learned a lot from all of you.  I am looking forward to **hopefully** teaching at Hoggard next year. All of you cross your fingers for me. Thank you for being such wonderful students. 

And remember...

9.2-9.3 Graphing Rational Functions Walkthrough

Graphing Rational Functions Walkthrough
This link will require you to *gasp* read, but I think they do a really good job of walking you through all of the steps required to graph a rational function.

If baseball players want to increase their averages, solving rational equations would tell them how many hits they needed. Do you think the size of a skydiver affects the fall? Rational expressions can be used to model how a skydiver’s size affects the falling speed. In 1530, the invention of the diving bell provided the first effective means of breathing underwater. Like many other diving devices, a diving bell uses air that is compressed by the pressure of the water. Because oxygen under high pressure (at extreme depths) can have toxic effects on the body, the percent of oxygen in the air must be adjusted. The recommended percent p of oxygen (by volume) in the air that a diver breathes is:
p=(660)/(d+33)
where d is the depth (in feet) at which the diver is working.

Question: At what depth is the recommended percent of oxygen 5%?


In 1873 the closed hard hat diving suit was invented.

Carbon Footprint?

You shouldn't consider these suggestions lightly. Think about how many years you have left to live on this earth.Studies project that we only have about ten more years before we can stop the effects of global warming due to our constant creation of carbon dioxide. Small changes can have a much larger impact than you think, so be conscious and make smart earth friendly decisions.

Chapter 8 Test Practice

8.1 Exponential Growth
8.2 Exponential Decay

8.3 The Number e

8.4 Logarithmic Functions

8.5 Properties of Logs

8.6 Solving Exponential and Logarithmic Functions

8.7 Modeling Exponential and Power Functions

CHAPTER 8 Quiz

Also check one of the posts below for more links.

Come in in the morning if you have questions! 

Good Luck studying. See you tomorrow.

Logarithm Help

Follow the link to go to an online application that you can work on for help. It gives you immediate feedback as soon as you choose your answer so it will keep you from doing a problem wrong. I advise that you try to do almost all of the problems WITHOUT a calculator first, as you will not necessarily have a calculator to solve these on your test for this chapter. Click here.

The same site also has problems including logarithms once you have solved one, you can click the following answer button to see a worked out solution that includes all of the steps. Click in this vicinity to link there.


Also
Here are the links to the lesson Quizzes from your book as ususal.
Section 8.4
Section 8.5


Do you like logs as much as this guy?

See, i told you logs were fun!

Can anyone tell me what show this is from?

Dying for more about LOGarithmS?
How about a log joke?

Q: How do we reduce an exponential growth of grass? 

A: Using a "ln"-mower!

  

Way before calculators existed Logarithms were developed to reduce large numbers into smaller numbers, so that operations such as multiplication and division can be performed more efficiently. When translated literally from the Chinese language, logarithm means reduced number.   The logarithmic form is another way of expressing the exponential form, this time in much smaller numbers.   Logarithms were devised by John Napier in 1614.

CH 8.1-8.3 Quiz Practice

8.1 Exponential Growth
8.2 Exponential Decay
8.3 The Number e

Homework Calendar 4/14-4/29

Look at how it happens!

The value of (1 + 1/n)n →2.17827, as n → +∞

***Super Advanced Math Speak
The line (1 + 1/n)n is asymptotic to the line y=e

Oiler's Number, not the letter E

Leonhard Euler (pronounced oiler) was the most prolific mathematician of all time. He wrote more than 500 books and papers during his lifetime (about 800 pages per year) with an incredible 400 further publications appearing posthumously. His collected works and correspondence are still not completely published: they already fill over 70 large volumes, comprising tens of thousands of pages.

The number e is a famous irrational number, and is one of the most important numbers in mathematics.
The first few digits are:
2.7182818284590452353602874713527...
this is often called Euler's number after Leonhard Euler

Pee Wee's Big Spring Break Adventure

Personally, I think you should spend your break making one of these.

They are called Rube Goldberg Machines.

Reuben Garret Lucius Goldberg (July 4, 1883 - December 7, 1970) was an American cartoonist who received a 1948 Pulitzer Prize for his political cartooning. He is best known for his series of popular cartoons depicting Rube Goldberg machines, complex devices that perform simple tasks in indirect, convoluted ways. 

Mathmagic

can you figure out which step makes this a false statement?

Exponential Growth

Watch the Stark Trek Episode: The Trouble with Tribbles

Algebra 2 Reference Guide

A collection of helpful Algebra II hints can be found, viewed and printed by clicking here.

You may not want it now, but it's going to be really helpful come exam time!

Chapter 7 TEST

Section 7.4
Section 7.5
Section 7.6
CHAPTER 7 TEST

The Chapter 7 Test will be on Thursday April 3.
Use these links and the previous links for chapters 7.1-7.3 to help you study.
Please Note: Your test will not be multiple choice, and will NOT be calculator active

QUIZ Friday- 7.1, 7.2, 7.3- Online Study Guide

Section 7.1
Section 7.2
Section 7.3

Click on any of these links to go to the respective online quiz that coincides with your text.