Weekend Homework

Trig is coming!

This weekend, please complete the review worksheet (that I wrote by hand) provided in class; this will help us review some of the skills we need with fractions and triangles to succeed in our trigonometry unit. You can also find the worksheet below.

• You may have to look up some of the terms if you don't know what they mean: complement, supplement, special right triangles, coterminal angles.
• You likely have never heard the term coterminal angle before
• This is all review of the fundamental skills we'll need in trig; if you don't know how to do something (like add or divide fractions), watch a youtube video!

You know I'm checking this homework--it's our first one of the quarter! Get it done, even if you were absent, so you don't start the quarter with a 0!

Other than that, enjoy your weekend, watch the Superbowl (hopefully the Patriots lose by 03154314 million points), and keep your eye on some potential snow Monday! See you soon!

Test Tomorrow!

Today we got a glimpse of the "new course" we'll be starting--trigonometry! Tomorrow we'll put the official bow on our first semester with one last test...the universal screen we took at the start of the year!

Tonight's homework is, of course, to study! This is your first test grade of the third quarter!

The test is 25 multiple choice, all with a graphing calculator. Here's what's on it:

• Evaluate a function like f(x+2)
• Find the domain of a rational function (denominator can't = 0)
• Determine where a function is increasing, decreasing, constant
• Evaluate a composition (f(g(4)))
• Find the inverse of a (linear) function
• Find the slope-intercept form of a line parallel to a given one
• Describe shifts/reflections
• Identify the vertex of a quadratic in standard form (a(x-h)^2+k)
• Find the maximum value of a given quadratic (x = -b/2a, sub x to find y)
• Find all zeros of a polynomial
• Divide using long division
• Factor a polynomial completely given a factor
• Divide complex numbers (multiply by the conjugate of the denominator)
• Find all zeros of a function
• Find horizontal asymptotes (look at degree of numerator, denominator)
• Find vertical asymptotes (set denominator = 0)
• Evaluate an exponential function
• Find exponential form of a log equation
• Use change of base to rewrite a log
• Use properties of logs to condense an expression
• Solve an exponential equation (take log of both sides, remember?)
• Solve a log equation with same base (condense, write exponential form)
• Find the amount of time it takes an account to double if it's compounded continuously (know the equation!)
• Solve an exponential equation

Midterms!

The next time I see you all will be for your first midterm exam! Study, study, and study more. This is a tough test; it's definitely not impossible, and there won't be anything that surprises you--we've covered it all!

Of course you should work through your midterm review packet to study (and check your answers with the key I provided). You can also use all of your old tests and quizzes to study! (That's what I would do!)

Here's a list of exactly what topics are on the midterm: (I am literally typing these topics as I read through your exam...)

• Find the slope of a line given two points
• Find the equation of a line given a point and slope (in slope-intercept or point-slope form)
• Find the equation of a line parallel or perpendicular to a given line
• Challenge: find parallel and perpendicular line when the line you are given is vertical/horizontal
• Determine if lines are parallel, perpendicular, or neither
• Determine if a set of ordered pairs represents a function
• Evaluate functions (sub values for x)
• Find the domain of a function
• Graphically
• Rational functions (fractions), radical functions, and log functions
• Find the range of a function (graphically)
• Determine intervals of increasing, decreasing, constant (given a graph)
• Identify what type of function is shown (know the shapes of the parent functions!)
• Write equations of a function given different shifts/reflections
• Describe the shifts/reflections in a function
• Find compositions of functions
• Find the inverse of a function
• Given an equation
• Switch x and y, solve for y
• Given sets of ordered pairs
• Apply the horizontal line test
• Graph quadratic functions
• Find the vertex
• Find x-intercepts
• Find the y-intercept
• Determine shifts and if the parabola opens up/down
• Find the maximum/minimum value of a quadratic (the vertex!)
• Determine the end-behavior of a polynomial
• Use long division to divide polynomials
• Use synthetic division to divide polynomials
• Factor a polynomial (complete) given one of its factors
• Do (repeated) synthetic division given the factors to arrive at a quadratic, then factor the quadratic
• Determine possible rational zeros (rational zero test)
• Write complex numbers in standard form
• Add/subtract complex numbers
• Multiply complex numbers
• Divide complex numbers (multiply the numerator and denominator by the conjugate of the denominator)
• Simplify powers of I
• Find real zeros of a function
• Factor
• Graphing calculator
• Find all zeros of a function
• Factor (if possible) OR
• Find real zeros first
• Use repeated synthetic division (with the real zeros) to get to a quadratic, then factor or use the quadratic formula to find remaining zeros
• Graph rational functions
• Find horizontal asymptotes
• Find vertical asymptotes
• Find x and y-intercepts
• Substitute values of x to find "additional points"
• Graph!
• Use the laws of logs to expand and condense logarithmic expressions
• Find compound interest
• Continuously Compounded (Pe^rt)
• Compounded n times per year (P(1+r/n)^nt)
• Evaluate logs (with and without a calculator)
• Re-write in exponential form
• Graph logarithmic functions
• Graph exponential functions
• Use the change of base formula to evaluate logs
• Solve exponential equations
• Solve log equations
• Add/subtract functions
• Sketch the graph of a polynomial function
• Find zeros
• Determine multiplicity of zeros (bounce or cross?)
• End behavior
• Find "additional points"
• Evaluate exponential expressions
• BONUS:
• Find the inverse of a function like: y = (x+1)/(x-4)
• You may have to look up how to do this!

Stamps Due Tomorrow!

Get your stamps together to turn in tomorrow! If you don't have time (or you forget) you can turn them in on Tuesday, the day of our exam.

• Count them (twice) and write the total on the front
• Staple/fasten them together or put them in an envelope/bag/etc.
• I will randomly select 5 people per class to double check (their counting)

Tonight (for homework), please complete the solving exponential and log equations worksheet provided in class (or below). I know we've been racing through this section; do your best on tonight's homework. Tomorrow we'll answer any and all questions and talk a little more about the exam.

See you all tomorrow!

Thursday's HW:

 



Midterm Review HW!

Good work today! I know we're moving fast, but we have to. We'll keep doing so tomorrow, as we start to talk about solving logarithmic equations.

Tonight, please complete the following problems in your review packet:

40, 41, 42, 44, 45

Enjoy! Tomorrow I'll provide you with another answer key and we'll answer any homework questions before moving onto our new stuff!

Have a great Wednesday!

Midterm Review Time!

Sorry for the late post...had some technical difficulties earlier.

Tonight, please complete questions 1-20 in the midterm review packet (provided today in class).

This is a longer homework than usual; you will have to take some time to use your notes to look up things you don't remember, you may have to look at old quizzes, etc. The more effort you put into studying now, however, the less you'll have to worry on your 3-day weekend before the exam! 

I did my homework as well; tomorrow I have a completed answer key for you (for questions 1-20), as well as one for our weekend homework. (Did anyone figure out 15-17? Not me.)

Tomorrow in class we'll talk about some homework questions, then we'll practice some "solving exponential equations." 

After that, most likely on Thursday, we'll learn how to solve logarithmic equations, and have a quiz on Friday. 

Busy week! Keep working hard!

Enjoy your Monday!

Weekend HW!

I love weekend homework! (said no one, ever)...

But we have to do it. Have to keep working hard and learning and getting better at math...especially with a midterm fast approaching!

This weekend, please complete the "Laws of Logarithms Worksheet" provided in class.

• Remember, #'s 15, 16, and 17 are extra credit. If you can figure out all 3 I will count your homework grade as double (so you'll get credit for 2 homework assignments)!

The worksheet is below in case you lost yours....have a fantastic weekend!

Quiz Tomorrow!

Tonight, study! How, you ask? By doing the problems below!

Tonight's homework: please complete the following in your textbook:

Page 203-204: 35 - 41, 57 - 61 (all odd)

Tomorrow's quiz will entirely be based on the laws of logs: use your classwork (from today and yesterday) and your homework to study! Here's what's on your quiz:

• Expanding logs (using the laws)
• Condensing logs (using the laws)\
• Evaluating logs (the basics; study the first page of our unit test from before break; this is the stuff we learned in 3.2)

Wednesday HW: Laws of Logs!

Now we're really back to work....a couple more days until the weekend, then 5 days until exams!

Tonight, please complete the following in your textbook (and yes, I'm checking!):

Page 203-204: 23-33 (odd), 47 - 55 (odd)

Tomorrow we'll finish our learning/notes for 3.3, and Friday we'll do some classwork/practice (after we take a quick pop quiz! :) )

See you all tomorrow! Enjoy your Wednesday!

Extra Credit Flash Cards!

Want some extra credit? And to study?

Flash cards must be (correctly) created for each of the following:
Each property/term must be defined with a mathematical example and/or described in words.

Create these flash cards so that they are helpful to you. Do whatever is going to allow you to best prepare yourself for our next quizzes/tests/midterm! 

1.Fractional exponents

2.Negative exponents

3.y=logab (re-write in exponential form)

4.y=log1/y=ln1

5.Logaa

6.a^logaa

7.Domain of logarithms

8.Relationship between an exponential and logarithmic function (asymptotes/intercepts, domain/range, coordinates, symmetry; *this does not require mathematical example*)

9.Log(ab)

10.Log(a/b)

11.Log(a^b)

12.Change of Base formula (you can find this in section 3.3 of your textbook, or just google it! That's what I did!)