We Made It!

Break time! Woooo!

Rest up, relax, hang out with friends and family, watch tv, play outside, read a book, do some math....come back ready to learn! We'll have lots more log stuff to learn for our 9 days leading up to midterms!

Check the blog later in the week for an extra-credit opportunity!

Have a wonderful vacation!

We're....almost....there....

So close to break....hopefully you aced your test today!

Tomorrow we will only have about half of a class....we'll do.....some math....

No homework tonight!

For those of you who I won't see tomorrow, have an amazing break! Come back rested up and ready to power through some more stuff with logarithms! Have fun, enjoy family and friends, eat a lot, sleep a lot, and go outside! See you all soon!

STUDY, STUDY, STUDY

Test Monday! This is the last hurdle between you and the winter break; work hard this weekend to prepare for our test! Look over your pop quiz (I returned today), use the graphing practice/answer key I gave you in class, and study your 3.1 take home quiz (with the graphs of e and compound interest stuff).

The test is broken into 7 different parts (about 30 questions). Here's what you need to know:

Part 1:

• Evaluate exponential expressions
• Be sure to know how to deal with fractional exponents, negative exponents, and 0 (as an exponent)!

Part 2:

• Evaluate logarithmic expressions
• Remember, the log of a negative or of 0 is undefined!
• Study your pop quiz--this is the same stuff (1-9 on the pop quiz)

Part 3:

• Simplify logarithmic expressions
• Know the properties of logs we discussed in class!
• These are the same as 10-15 from our pop quiz
• Remember, if the "base" is the same as the number we're taking a log of, the expression = 1
• log(1)=0 no matter the base
• a^log(x)...The "a" and the "log" "cancel out" if the bases are the same! (The base of the log is the same as "a")

Part 4:

• Sketch the graph of a given logarithmic function
• This is what we discussed today (Friday) in class!
• Use the practice problems and answer key I provided you to study!
• Remember, you only need to show the asymptote, "shifted point," and the general shape to get credit

Part 5:

• Compound interest problems
• Study our 3.1 take home quiz--we had a bunch of these types of problems in that packet~
• Most important: know the formulas! If you don't know the formulas, these are impossible!

Part 6:

• Find the domain of a logarithm algebraically
• This is like the stamp problem we had today in class (that I printed out so you can keep)
• Remember, what's "inside the log" must always be >0; set up an inequality and solve!

Part 7:

• Graphing exponential functions
• For this section, you will be provided with 6 graphs and 6 equations; you have to label each graph with the correct equation
• Additionally, you also have to describe the shifts/reflections (in words) for these functions
• Study your 3.1 take home quiz (with the compound interest stuff)
• We also had a 3.1 homework (and I passed out an answer key) that you can use to study!

More generally, everything you need to know is in section 3.1 and 3.2 of your book. Use your resources! Look up videos on youtube! Try some of the links on the right! Just be ready to get an A!

Have a great weekend!

Thursday HW

Tonight, please complete the following in your textbook (practice your graphing!):

Page 195: 35, 37, 39, 41, 43, 45-48, 49, 51

Tomorrow (in class) we'll do some graphing practice and get ready for our mid-unit test on Monday! Yay!

See you there! Enjoy your afternoon!

Nice work today!

Great work today! I think I could have left the room and you all would've been fine...as always, an impressive effort on our classwork!

Tonight, please finish the investigation we started today in class (if you didn't already). Remember, this is a 36 point classwork grade--so finish! Get an A! I'll collect this tomorrow. If you were absent, I'll give you the investigation to complete on your own (due by Monday).

Tomorrow in class we will discuss what we found in our groupwork. We will talk more about the domain of a logarithmic function, and then we will start to graph logarithmic functions with different bases, with shifts, and with reflections!

Then, on Friday we'll do some practice and finish section 3.2....all in preparation for a quiz/test/quest on Monday!

If you'd like to get a head start, here's tomorrow night's homework:

Page 195: 35, 37, 39, 41, 43, 45-48, 49, 51

Enjoy your afternoon! See you all tomorrow!

Extra Credit HW?

Tonight, please feel free to earn some homework extra credit! Complete the following in your textbook:

Page 196: 53 - 60; if you complete each of these you can add a point to one of your homework 0's!

Tomorrow in class we will continue to explore logarithms as we start to investigate the graph of
log(x) and how the logarithmic function relates to the exponential function!

Enjoy your Tuesday! See you all manana!

Monday.....

Back to work!

Tomorrow we'll answer any homework questions and take a look at the natural logarithm....then, we'll move onto graphing! Yay!

Tonight, please complete the following in your textbook:

Page 195:  1-15 (odd); 17 – 23 (odd) ; 25-29

Enjoy your sunny afternoon! See you all tomorrow!

Take Home Quiz!

This weekend, please complete the quiz that we started (in groups) in class! Don't forget!

Here's a hint for the last question:

• This question tells us that the element decays continuously. This tells us which formula to start with!
• The only reason this tells us that it's a daily rate is so we know that we can substitute numbers of days in for t, rather than years. (It has nothing to do with "n").
• Consider the rate....because this element is decaying, we have to use a negative rate (-r) in our equation!
• Part (c) asks us for the half-life. This means we have to try to estimate the value of t (the number of days) that it will take for our initial amount to decay to half (of the original amount). In other words, since our element started at 50 grams, we need to estimate the value of t when the amount will be at 25 grams.
• There are three ways to do this:
• 1.) "guess and check." Substitute different numbers for t! Try decimals too!
• 2.) Use the table feature of your calculator (after putting your equation in Y1) to see when the amount (Y) is at 25!
• 3.) Use the graph of the function. Look at the graph and trace along the curve to find out the x-value when y = 25!

If you lost your paper or were absent, you can find the quiz below. Enjoy!

Thursday HW!

Tonight, please complete the following in your textbook:

Tomorrow we'll do some practice/groupwork graphing some natural exponential functions and using our compound interest formulas!

Wedneday HW

Tonight, please complete the graphing practice (worksheet) I passed out in class.

Tomorrow we'll answer any homework questions, then we'll start to discuss e and compound interest!

Your homework is below in case you lost yours! Enjoy! See you all tomorrow!

Rainy Day Homework!

It is very important that you check the blog regularly!

Tonight, please complete the following in your textbook:

Page 185: 3, 7, 9, 11, 13, 15-18

It's a perfect day for math! Stay inside, wear some sweatpants, relax, and do some homework (because I am definitely checking!)

See you all tomorrow!

Monday HW

Tonight, please complete the 9 questions at the back of our graphing activity (from class today). Remember, these will be graded as a classwork grade, so do them! You will have about 5-10 minutes tomorrow in class to compare with a neighbor and hand in your "final answers;" if you do not do your homework, you will not be given this opportunity! This will be collected and grade (14 point classwork--I skipped #3,4, so it's not worth 18 pts).

If you lost your graphs/paper, you can find all the questions below:

Happy Weekend!

Thanks for working hard on the STAR test today!

This weekend, please complete the worksheet (exponents review) provided in class! If you lost yours or you were absent you can find the homework below...

**Many of you were using your graphing calculators to evaluate these....when we have a quiz/test, we will not be allowed to use a graphing calculator, so make sure you know how to do them without it! In other words...don't use a graphing calculator on your homework, because you won't have one when I give you a quiz (on Tuesday).**

On Monday we'll get back to work in section 3.1 and start examining the graphs of exponential functions! I can't wait!

Enjoy your weekend...do your homework tomorrow while it's raining! And good luck if you're taking the SAT's!

Another night off?!

No homework tonight!

Remember, tomorrow we will be in room 121 for STAR testing!

See you all there! Enjoy your sunny afternoon!

No homework tonight!

Wooo! A night off!

Hopefully you all dominated my test today! I'm looking forward to grading these.

Tomorrow we'll start our new unit....exponential and logarithmic functions! We'll start with our unit 3 pre test, and then we'll review our rules of exponents...get excited!

Enjoy your afternoon off (from PreCalculus). See you all in the a.m.!

Test Tomorrow!

Study, study, study!

Here's a breakdown of what's on tomorrow's test:

Part 1: Multiple Choice (8 questions):

• Determine the domain of a function
• Find the horizontal asymptotes
• Find vertical asymptotes
• Graph the rational function

Part 2: Open Ended

• Find vertical and horizontal asymptotes given a function
• Identify the coordinates (x, y) of a point of discontinuity (hole) given a function
• Find the x and y intercepts of a function
• 2 graphic organizers...
• Find x intercept, y intercept, vertical and horizontal asymptotes, domain, range, end behavior, additional points, and graph
• One of the two functions is a graph with a "hole" in it! (study the answer key for last night's homework)

Monday HW!

Back to work! Yay!

Tonight, please complete the two graphic organizers for rational functions with points of discontinuity (holes). These are great examples of what you'll see on your test Wednesday!

You can also find the homework below, in case you were absent or you lost yours.

Tomorrow in class we'll play some bingo to review for our test. Then, Wednesday is test day! Thursday we'll start our next unit, and Friday is STAR testing. Wooo!