Wednesday

Algebra II

Here are the two videos to be shown in class today:

Completing the Square video 1 - (only show until 2:50)

Completing the Square video 2 - (only show until 3:20)

Tuesday

Plane Geo

As promised, here's the answer key to the chapter review. Happy Studying!

Ch 4 Review key!

Welcome back!

Precalc

See new post on the forum page of the ning site

http://mrfritzprecalc2009.ning.com/forum/topics/monday-1130-homework

Thursday

Hey all, just two one more day to go, keep it up!

Precalc

Today we started talking about exponential growth/decay. See the attached note sheet and HW below.

Notes:

3.1 Notes Day 1

HW:

3.1 Day 1 Worksheet

Wednesday

Precalc

Today we reviewed the basic rules of exponents in preparation for the next chapter on exponential and logarithmic functions.

HW:

Exponent Exercises worksheet

Do all of the ODDs on both sides, and do ALL of 87-92 and 95-104

5 Days and counting

Friday is just around the corner, and that means Thanksgiving break is on its way! I know I can't wait.

Precalc

Here's the review sheet I handed out today:

Ch 2B review

... And the key (sorry if the pencil doesn't show well):

Ch 2b review key

Happy studying!

Thursday

Hey all, I hope you are feeling ready for the weekend because it's coming up very soon!

Precalc

Today we covered Quadratic Factors of Partial Fractions. Not too much of a change here, just remember to write a linear binomial over the quadratic factor.

**QUIZ TOMORROW**

Notes:

Partial Fractions - Quadratic Factors

HW:

Worksheet # 5

And here's the answer key: Worksheet #5 Answers

Mild Monday

Last time I checked, it was supposed to be cold in November. Oh well, I don't mind delaying the chill as long as I can.

Precalc

Today we began decomposing partial fractions! This is exciting.

Notes:

Partial Fractions - Day 1

Homework:

Partial Fractions Worksheet

**If you need help on solving systems with the calculator, here's an info sheet.

Wednesday

Algebra II:

For homework tonight, all you need to do is write the 3x3 systems as matrices. Don't worry about the word problems yet or solving if you don't have a graphing calculator.

Ex:

3x + 2y -1z = 10

-4x + 1y = 0

x + y + z = 23

becomes:

[ 3 2 -1 10]

[ -4 1 0 0]

[1 1 1 23] --> except the brackets are all one line like the examples from class

Thursday

Plane Geo

Here's the answer key as promised for the review sheet:

Review key

Happy studying!

Tuesday

Precalc

TEST TOMORROW!! Study everything from 2.1-2.5, that's all fair game people!

Here is the key from the worksheet we looked at from class today:

Through 2.5 worksheet key

Monday

Happy first day of the second quarter!

Precalc

Today we covered polynomial inequalities. Remember to test all of those real intervals!

***TEST WEDNESDAY***

Notes:

Polynomial Inequalities (blank)

Polynomial Inequalities (filled in)

Homework:

Polynomial Inequalities worksheet

Happy Friday!

Week 9, see ya later! Happy end to the first quarter everyone - three to go! I can smell the summer air already...

Precalc

Today we explored complex zeros of functions, and how to reduce polynomials over the reals and complex numbers.

***The Mathematical Lens Project can be turned in on the following dates: 10/30 is the early bird special (I'll give you 5 bonus points right off the bat) 11/3 is the final day to turn in the project. After that, there is a 10% reduction each day.***

Notes:

2.5 day one (blank)

2.5 day one (filled in)

HW:

Textbook p210: #9-35 odd, 41-45 odd, 54

Thursday

Precalc

Today we covered a TON. We discussed what odd multiplicities of x-intercepts greater than 1 looked like, we covered complex numbers, and we launched a mathematical modeling project. Useful documents are below:

Project instructions:

Mathematical Lens Project

Notes:

2.4 Notes - Complex Numbers

HW:

Textbook: p202 #5-37 odd, 43-49 odd, 55-63 odd

Tuesday

Hey all, happy Tuesday! Make sure you get some time outside while it's still above freezing, the cold times are rapidly approaching.

Precalc

Today we discussed the leading coefficient test and how to determine a function's end behavior.

Notes:

2.2 Leading Coefficient notes

HW:

Textbook p178 #17-26 all, p193 #55-69 odd, and the word problem on the back of the notes sheet

Monday

Hey everyone! Happy Monday, and good luck on the final stretch of the first quarter. It feels like only yesterday we were meeting each other for the first time... look how far we've come!

Precalc

Today we covered the Rational Zero Test, and how to factor polynomials using this technique.

Notes:

2.3 Rational Zeros Test notes

HW:

p192: #42-46 even, 51-54 all, 56-70 even, 87, 89, 93

Friday!

Hey Everybody! Way to make it to Friday; even though it's been a four day week, it still has felt like a long one. Make sure to get in some good time for rest and relaxation!

Precalc

Today we talked about synthetic division a little, and took a quiz. Answers to the long division homework from Thursday night are here.

Notes:

Synthetic division notes

HW:

Synthetic division Worksheet

Algebra II

Today we covered finding x given f(x)=b and finding y given f(a) algebraically. Your homework this weekend is HWS #7

Plane Geo

Today we reviewed 3.1-3.4. The homework is the worksheet handed out in class. Have a good weekend!

Wednesday

Happy middle of the week everyone! Two days until the glorious weekend!

Precalc

Today we worked on some more factoring techniques. Don't forget to recognize the perfect square trinomials!

HW:

Factoring Worksheet #2

Tuesday

Hi all, happy Tuesday! We've got a head start on the week, and we're already halfway through! Before you know it, it'll be the weekend again!

Precalc

Today we began factoring. Remember to use those flowcharts when deciding how to factor!

HW:

Factoring worksheet - ALL!

Algebra II:

Today we reviewed how to draw graphs given domains and ranges. Be sure to study for the QUIZ tomorrow!

HW:

HWS #5 in packet (it's two pages)

Plane Geo
Today we reviewed the special angle pairs and how to solve algebraic equations using the special angle pair theorems and postulates. Remember, the theorems and postulates only deal with congruent and supplementary pairs. Study for QUIZ TOMORROW!

HW:

3.2 Worksheet

**And if you didn't get the notes or homework from Friday, here they are:

3.2 Notes 3.1-3.2 Worksheet

Thursday

Hi everybody, I hope you're all staying dry today!

Precalc

Today we dove into quadratic applications. We hit some word problems and saw how we could apply quadratic functions to "real life" scenarios.

HW:

Handout

Algebra II

Hey Algebra Twobians. Keep up the good work finding those domains and ranges. Remember to use interval notation!

HW:

HWS #3 (p18-19 in packet)

Plane Geo

Today we discussed a little more about transversals and parallel lines.

HW:

See schedule

Monday

Happy Monday everyone. Week 6, here we go!

Precalc:
Study for the test! If you still haven't printed out the test corrections assignment, here it is again:

Test corrections assignment


Algebra II:
Today we began talking about what a function is and how to evaluate them.

HW: textbook --> p17 #19-33, #43-48


Plane Geo:
Test tomorrow!

Here's the key for the worksheet you got today to study with:
Ch 2 Wks key

Wednesday

Hey all, it's the middle of the week, we've got just a few days until the weekend!

Precalc

Today we began our journey into the world on inverse functions. Don't forget, quiz FRIDAY and test TUESDAY!

Notes:

1.5 Discovery notes - this is what we completed in groups

1.5 Discovery notes completed - here's a filled out version of what's above

HW:

1.5 worksheet - just the front side (1-4)

Algebra II

Today we covered writing equations from absolute value equations and inequalities.

HW:

HWS #3

Plane Geo:

Today we worked in groups to solve for measures of angles by combining geometric concepts with some simple algebra.

HW:

2.5 Study Guide Worksheet

Tuesday

Hey everyone, I hope this week is going well for you. It looks like Fall is settling in just fine, so put on a sweater and snuggle up with some math homework!

Precalc

Today we reviewed compositions of functions. Remember, you must consider the domain of the "inner" function of a composed function.

Notes:

1.4 In Class Notes

Homework:

Graph the "Part B" side of last night's homework.

Test Corrections:

The directions for the corrections are here. Make sure you follow them carefully to receive credit!

Monday

Algebra II

Homework: HWS#2 **ONLY THE ODDS**

Plane Geo

As promised, the key for the "reasons" worksheet is here!

Thursday!

Precalc

Here are a few resources to study with... for you! Use them!

Transformations study guide

Graphing piecewise on TI83/84

HW:

STUDY!!

Wednesday

Precalc

Here is a study guide for transformations... for you! Use it!

Transformations study guide

HW:

Do the odds in the review packet.

Tuesday

Precalc

Today we talked about horizontal stretches and shifts. Remember, f(cx) will stretch/shrink by a factor of 1/c. TEST FRIDAY!!

Notes:

1.3 Day two notes

HW:

On your worksheet, do only the odds and don't do Part II.

Algebra II

Today we did some review of the chapter. Don't forget, Test Thursday!

HW:

HWS #7 in packet.

Plane Geo

Today we reviewed 2.1-2.3 for the quiz tomorrow.

HW:

Worksheet handed out in class.

Monday

Hey Everyone! Happy Monday, and goodbye to summer. Bring it on fall!

Precalc

Today we talked about shifts and vertical stretches and shrinks with common functions.

Notes:

1.3 Day one

HW:

HW #7 on schedule

Algebra II

Today we discussed graphing absolute value inequalities:

HW:

HWS # 6 in packet (p30)

Plane Geo

Today we reviewed the laws of syllogism and detachment.

Here's that picture that a couple of you have been asking for: long-haired Mr. Fritz

HW:

see schedule

Hawk Pride Wednesday!

Hi everybody! Today certainly flew by with shortened periods. Enjoy the break if you aren't testing tomorrow, and if you are, good luck! I'll see you on Friday!

Precalc

Today we discussed how to create functions out of word problems. Remember to be careful to properly identify the input (x) and the output (f(x)).

Notes:

Word problems notes

HW:

p106 # 47-50, 57, 58, 67-70, 73

Algebra II

We had a quiz today, no homework!

Plane Geo

Today we discussed conditional - or 'if' -> 'then' statements. We covered converses, inverses, and contrapositives. Remember, converses switch, inverses negate, and contrapositives do BOTH!

HW:

p. 80 #2, 6, 19-30 all, 57-62 all

Two for one Tuesday

Hey everyone! I'll give you two pieces of advices for the price of one: (free)

1. Always look both ways before crossing any interstate highway

2. Befriending a squirrel will prove to be a wise decision if you are ever stranded in the woods.

Precalc

Today we reexamined piecewise functions, even/odd functions, and maximum and minimun values.

Notes:

Even/Odd Definitions and piecewise graphing

HW:

textbook: p106 #25-46 all, 51-56 all

Algebra II

Today we reviewed for the QUIZ TOMORROW!!! The Solutions for tonight's homework is posted below:

HWS # 5 solutions:

page 1

page 2

page 3

Monday

Week four, here we come! We're starting to get some momentum in this school year, let's keep it up!

Precalc

Today we sunk our teeth into some definitions of local max/mins of functions, and increasing/decreasing/constant intervals.

Notes:

1.2 Day one notes

HW:

Library of Functions packet: pg 3, 4, and 5. Fill out all of the information for each function

Thursday!

Howdy y'all, this short week is almost at a close. In just a few ours, we'll be saying "TGIF!"

Precalc

Today we hit a few different topics. We discussed setting functions equal to each other, we discussed piecewise functions, and we even touched on difference quotients. Don't forget to take your time with the difference quotients, and don't be intimidated, it's basically an algebra problem!

Notes:

1.1 day two notes

HW:

p. 94 # 35, 36, 43-59 odd, 71-76

Plane Geometry

Test tomorrow! Make sure you study hard and complete that worksheet! If you want to review the questions from today's station activity, the worksheet and solutions are posted below:

Review worksheet

Worksheet solutions

09/09/09

Today is a significant day! We won't have another single digit repeat in the date like today until January 1, 2101. So hold on to the day and do something sweet!

Precalc

Today we began looking at functions and what they are all about.

Notes:

1.1 Day One notes

HW:

HW #1 on your schedule

Thursday

Hello everyone, we're almost through the week, and then a three day weekend! Keep pushing!

Precalc

Today we covered absolute values. Don't forget that rotate and flip trick!

Notes:

P5 notes

HW:

HW # 5

Algebra II

Study for test!!

HW: p26 in packet # 1-11

Look for solutions to come...

Wacky Wednesday

Here's a picture of a wacky watermelon:

Precalc

Today we discussed solving radical and absolute value equations both algebraically and graphically.

Notes:

P4 Day 2 notes

HW:

HW # 5 on the schedule

Algebra II

***For homework tonight, only do the ODDS on HWS #5. In addition, complete a real number assignment by clicking HERE***

Monday Monday Monday!

Our first Monday! Fact of the day: the candy known as "Black Crows" was intented to be named "Black Rose," but the printer misheard the order and wouldn't reprint the wrappers on the candy. So the name stuck!

Precalc

Today we touched on solving equations algebraically and graphically. Don't forget to check for extraneous solutions!

Notes:

P4 Day 1 notes

HW:

HW # 4 on your schedule

Algebra II

Today we learned about absolute value equations. Don't forget to see if your equation is reasonable looking, and don't forget to find two solutions in absolute value problems.

HW:

HWS#3 --> p15-16 in your packet.

Plane Geo

Today we did some review and took a quiz. Good work so far this year, take the night off!

Friday!

We made it to Friday, everyone! Week 1... done.

Precalc
Take the day weekend off!

Algebra II

Homework tonight:

p29 # 18-25

Plane Geo

Homework tonight:

see schedule

Thinkin' Thursday

If you had the ability to change one physical rule about the universe, what would it be? Think about it! I would give humans wings.

Precalc

Today we went over equations of lines and their various forms. Remember, when deciphering word problems, find the key information and extract the points in disguise.

Notes:

P-3 class notes

HW:

HW #3 on your schedule

**Don't forget to study for the quiz tomorrow on P1-P3**

Algebra II

What happens when you cross an equation with an alligator? An inequality! Today we dove into solving inequalities and graphing them. Remember, "and" inequalities connect, and "or" inequalities go out.

***Reminder: Half period quiz on 1.2 and 1.3 tomorrow!***

HW:

***There is a change in the HW***

HWS#2 (page 10 - all of it)

p.45 #13-18, 20-30, 40-46, 50

Plane Geo

Today we entered the world of planes, lines, and points. We leared some good vocabulary and how to name these various geometric components.

HW:

Refer to your ch 1 schedule

Day 2, WE MADE IT!

Way to go everyone, we're two days in now, and still going strong! Before you know it, it'll be Friday.

Precal

Today we worked on the TI's and learned how to calculate intersections and set up a window. If you forget how to do something, feel free to shoot me an email asking for help! mrfritz23@gmail.com

HW:

HW#2 from the schedule

Algebra II:

Today, we looked a little more at order of operations as well as how to set up and solve equations. Make sure you take your time and go step by step.

HW:

HW #2 from the schedule **Don't forget that HWS#1 is page 7.

Plane Geo:

Today we discovered the magic of the coordinate plane. By using equations and ordered pairs, we can discover graphs and relationships between points.

HW:

HW #2 from the schedule

Welcome Back!

Congratulations everyone on getting through day one of school! The air is teeming with excitment over all of the valuable knowledge that awaits you.

***All Classes!***

Part of your first homework assignment is to fill out a survey telling me a little bit about yourself. Just click this link -** survey **- and you'll be whisked away into cyberpace!

Precalc

Today we discussed the Cartesian Plane and the many wonders that it holds. We reviewed some important formulas such as the midpoint and distance formula, and discussed the equations of a circle. Below are links for the course syllabus, the chapter P schedule, and a copy of today's class notes.

Homework:

p.8-11 # 9-14 all, 16-20 even, 45-60 multiples of 3, 68-80 even, 86

Syllabus

P Chapter Schedule

Day 1 notes

Algebra II

Today we scratched the surface and worked on some review order of operations. Don't forget PEMDAS! In case you loose your syllabus, there's a copy posted below. Also, take note of the homework assignment change!

Homework:

p.14-15 # 15-36 all, 38-46 even

Online survey

Syllabus

Plane Geo

Today we took it easy and went over course outlines. If you didn't finish the survey during class, then do that for homework (the link is in the beginning of the post). Also, make sure you complete that textbook worksheet for tomorrow. If you happen to lose the syllabus or Chapter 1 schedule, it's posted below. Have a good day!

Syllabus

Chapter 1 schedule

Help with inverse funtions (Algebra II)

Hey everybody, if you're struggling with with these inverse functions, here's a good video of some dude explaining them a little bit. Feel free to email me if you have any questions or need extra help. (mrfritz23@gmail.com)

Inverse functions video

Wednesday

Hello all! Today's a great day for outdoor homework! Studies show people think better when they breathe fresh air and are in the sunlight.

Algebra II
In case you wanted to see the solutions to last night's homework, they are here:

4/7 HW Solutions

**Tonight's homework: please print out the "4/8 HW Sheet" and complete it, and bring in your answers tomorrow. If you cannot print them, then rewrite the problems on a separate sheet of paper and work them out on it.

4/8 HW Sheet

- If this word document isn't working for you, try this one: 4/8 HW sheet.pdf

Random Brain Teaser:

A newly married couple recently bought a cottage in a small mountainous village in Vermont. While they were there, the power went out due to a storm, and there was no sign of an early recovery. So they decided to stay at the husband's parent's house until they received power again. Now, the town where the cottage is was so small that the news of the power outage wouldn't be covered in the news, and they were so new to the neighborhood that they didn't have any contacts in the town or even the phone number of the local police department. How then, from the husband's parent's house could they discover when the power was back on in the cottage? (Hint: This brainteaser predates the internet)

Think you know the answer? Leave a comment!

French Fry Friday

It's a good day, a Fri-day!  Free up some time to eat French fries with a friend.

Precalc

Today we reviewed a little of 5.4-5.5 and then took a quiz on said material.  This weekend, bue sure to review for Tuesday's test, and bring questions for Monday!

Notes:

5.5 - Day 2 (From Thursday)

Homework:

Textbook: pp455-456 #'s 4, 6, 19, 23, 24, 32, 34, 35, 40, 47 

Problems not in textbook:

  Suppose A = sin(x) and B = cos(x), and x is in QI.

      Find the following in terms of A & B:

          ex) sin(2x) = 2sin(x)cos(x) = 2AB

      

          1) sin(x/2)     2) cos(2x)     3) sin(3x)-sin(x)

**If you are stuck or want to check over your work, Mr. Hurley has been nice enough to provide solutions for you here.  (For real this time!)

An exciting day for Scientists...

Sometime today around 9AM EST, Dr. Phillip Rosenguard, head of reanimatory bilogical research at Harvard University became the first successful scientist to reanimate a deceased human being.  Some fear that Mary Shelly's depiction of such an event will come true, and this human brought back to life, whom Rosenguard has named Odan (Once Dead, Alive Now) will destroy his maker as well as regular townsfolk.  Dr. Rosenguard assures others though that Odan is a friendly creation, however.  "[Odan] wouldn't hurt a fly, literally.  He's even careful not to step on ants."

Precalc

Today we covered double and half angle identities. (Section 5.5)  Don't forget to consider the quadrant of u/2 when solving you equations!

Notes:

5.4 - Day 2 (In case you were absent yesterday)

5.5 - Day 1

Homework:

HW #3 - p451 #2-26 even; #34-38 even; #46,48

*You all have been working hard, so I thought I'd give you the solutions to tonights homework to make your load a little lighter:  HW 3 Solutions

Spring... brake?

Hopefully this halt in Spring weather will end. I know I want to be outside and experience nature once again!

Precalc:
Today we began our adventure into the world of sums and differences in trig functions. Tomorrow, we begin solving and take section 5.4 a little further!

Notes:
5.4 Day 1 notes

Homework:
p. 440 #1-5; 7-15 odd; 17-26 all

***Due Thursday*** --> Test Corrections Assignment


Algebra II:
Today we discussed solving nth root equations. Tomorrow, we kick it into gear with rational root equations!

Homework:
p4 in your packet

Pot 'o Gold Tuesday

Happy St. Patrick's Day everyone!

Here's a challenge for the day:

Go find a rainbow, and then follow it until you reach the end.  I hear that only on this day each year, a leprechaun hangs out by the northern end waiting for a friend and collecting loose change.  The loose change he turns to gold and throws into his cauldron.  My hat's off to you if you find this mystical creature!

Precalc

Today we covered two lucky charms: general solutions and multiple angle trig equations.  

Notes:

Day 3 notes part 1  (the back page of day 2 notes)

Day 3 notes part 2

Homework:

In your textbook: p432 #11-24 all with gen. sol.'s chicken

Monday... the countdown begins!

Better start buying sunscreen before all of the spring breakers get it off the shelves!  Four days and counting!

Precalc

Today we expanded our love and knowledge of solving trig equations.  We hit calculator expressions, then using identities, and even touched a little on general solutions.  Tomorrow, more 5.3!

Notes:

5.3 Day 2 notes

Homework:

HW #7 --> out #60,65

p431, #5-9 odd (b only); 17-24 all; 32-40 all

Algebra II

Today, we graphed standard form polynomials.  So we factor just like we did in the last unit, and then we use our graphing knowledge that we've learned this unit.  A fusing of units, how clever of those curriculum writers!

Homework:

p13 & p14

Here are a few videos to help with your homework.  It's a couple of the example problems from class today.  

***Be sure to watch part 3 of the first example, I made a mistake that I wanted to clear up.  Can you spot it?

Page 10 example, part 1:     Fullscreen

Part 2:     Fullscreen

Part 3:     Fullscreen

Example 2: Page 11, #2

Part 1:     Fullscreen

Part 2:     Fullscreen

Friday the 13th, version 2.0

Happy Friday the 13th everyone. Be sure to check out one of my favorite Popeye cartoons, "I Don't Scare" for some paraskavedekatriaphobic entertainment. (Look it up!)

Precalc

Today we began our journey into the world of solving trig equations. We took our knowledge of algebra, and our knowledge of trig, and slapped them together to make a nice trigebra sangwich.

Notes:

5.3 Day 1 notes

Homework:

HW #6 -> p431 #6-10 (even, a only); 12-16 even (in the interval [0, 2pi) ), #26-31 all, 42-50 even

***don't do 2 or 4!

Algebra II

Pi Day!!!

Homework:

watch the popeye video!

and have a good weekend!

Thankful Thursday

Today, I'm thankful for students. They bring me much joy.

Precalc
Today we worked more on verifying identities. Tomorrow, we'll plunge into equations!

Notes:
5.2 notes - day 1 & day 2

Homework:
All multiples of 7 up to 140 in the trig identities packet

*Hint: for #140, you will need to substitute a pythagorean identity immediately twice on the left-hand-side of the equation. Then consider the LHS as a quadratic and go from there

*Hint 2 for #140: After some reworking, you may want to use a conjugate (on both sides). From there, maybe you can split fractions and rewrite in terms on sines and cosines...



Algebra II
Today we reviewed some of yesterday's material and worked on more graphing. It was awesome. Tomorrw, we'll kick it up a notch, so get juiced.

Homework:
In your packet - p8 #'s 1,3,4 on the bottom

Torrential Tuesday

Isn't it interesting to think that here in the Chicago area, we've been getting more rain than we know what to do with, and at the same time, there are areas in the world that haven't had rain in months? If only we could teleport rain clouds...

Precalc
Today we completed the last of our three-day coverage of simplifying trigonometric expressions. Good job everyone, we made it! Tomorrow, we use these skills and dive into verifying trig identies - where it gets even MORE fun! If you are feeling like you're not getting the hang of this, please come and see me and I will help you and show you more examples. A solid understanding of this material is crucial!

Homework:

worksheet #3 - ALL


Algebra II
No homework! Go jump in some puddles and play in the rain!

The Sleepiest Monday of the Semester (...so far)

Hello everyone, happy daylight savings time! Waking up an hour earlier can be a bit rough, BUT we can now have outdoor fun one whole hour later than we did last week! I don't know about you, but I will be tossing a frisbee around for sure today.

Precalc

Today was another exciting day of simplifying trig expressions, or what I like to call "math magic." Be sure to stay sharp on your simplifying strategies, as they will be used even more tomorrow!

Notes:

same as Friday, with some new notes towards the bottom

5.1 notes - day 2

Homework:

Worksheet 2 (just the odds)

Algebra II

Reharsal test today. Be sure to study for the real deal tomorrow. Also, don't forget tomorrow is your last day to make up power quizzes!

Be sure to check your answers on the practice test, and feel free to email me with questions (mrfritz23@gmail.com)

Practice test answers

Also, here's a little tutorial on how to use graphing calculators to graph functions:

tutorial

(on the bottom of the screen is a "show me" link that actually shows you with a calculator how to graph these functions.)

Friday March 6th - "Everybody's workin' for the weekend!"

Hello everyone! Today is a beautiful day; it's perfect weather for some outdoor math appreciatiation. Try doing your homework outside for an extra boost in your mood.

Precalc

Today we started the ever-exciting chapter 5! Don't forget those strategies we talked about in class... you better RECKONIZE!

Notes:

5.1 notes - day 1

Homework:

worksheet 1

Algebra II

Review, review, review. Don't forget on Monday is the practice test, and on Tuesday is the REAL DEAL. Let me know if you need any review problems or help on any of these topics.

Homework:

The rest of page 46 in your packet

March 4th, 2009

Precalc

TEST TOMORROW!!!
- Best of Chapter 4! Hurray!
Here's a review guide for you to study with:

test review


Algebra II

Now we can use graphs to narrow down our choices of Possible Rational Roots! This makes life much easier, resulting in sounder slumbers.

Homework:

p36A & p36B -> ALL

March 2nd, 2009

Precalc:

Today we discussed the definition of the arcsin(x), arccos(x), and arctan(x) functions. Be sure to get comfortable with all of their domains, and ranges. Also memorize your UNIT CIRCLE values!!!

Notes:

For a copy of the notes from today, click here.

Homework:

#4 on the schedule: p384 #5-14, 33-41 odd



Algebra II

Today, we embarked on a journey and came upon the rational root (zero) theorem. In case you missed the definition:

RRT - all of the possibile rational roots of a polynomial can be found by dividing ALL of the factors of the constant term by ALL of the factors of the leading coefficient.

Homework:
pMP3 - all
pMP6 - 1-3

If you're having trouble, here's an example problem with two parts... Enjoy!

Part 1:
fullscreen here


Part 2:
fullscreen here

February 26, 2009

Precalc:
Today we worked on an activity to discover how to write equations of given secant, cosecant, tangent, and cotangent functions. To download a blank copy of this worksheet, click here.

To download a competed version with correct answers, click here.

Download the completed version and then compare it with your sheet. Are there any differences? What caused these differences? Are they necessarily wrong?

Homework tonight:

Worksheet 2

Algebra II:

Double Synthetic Division!!!

Don't get too discouraged, remember, all you're doing is synthetic division twice. Break up your polynomial into factors one by one. And ~ don't forget check if quotients that are quadratics are factorable!!!

Homework:
p 30 - all questions under III (1-3)

Feb. 25th - 3 days of February left...

Did you know...?
On this day in 1943 Beatles guitarist George Harrison was born in Liverpool, England.
and...
In 1964 Cassius Clay (who later changed his name to Muhammad Ali) became the world heavyweight boxing champion by defeating Sonny Liston in Miami Beach.

Precalc:
Today we talked about the cotangent function and how it relates to the tangent function.

Homework:
Worksheet 1 (will be added soon)

Algebra II:
Today we went over synthetic division and the definition of "zeros." For those of you who forget, a zero is solution for 'x' that will make a polynomial equal to zero.

Ex: -2 is a zero for the polynomial x^2 + 5x + 6 because if you substitute -2 in for x, the polynomial equals zero, which also means that (x + 2) is a factor of this polynomial.

For help with synthetic division (and long division) the powerpoint used in class is available for download here.

Feb 24th - Mardi Gras!

Precalc :

Today we covered the graph y = atan(bx - c) + d

Homework is on the schedule --> #2

notes:  4.6 day 2.

Long division of polynomials

Here's a gift for you all:
The solution to problem 8! Fullscreen here


Here's a sample long division problem on p26. The first video is how to find the solution, and the second is how to check it.

Fullscreen


Fullscreen

Sample problem using tons of tools

I think this problem, or one similar to it, was on that factor frenzy sheet we did last week. Here are two different ways of approaching the problem, the first starts with the difference of squares, and the second starts with the difference of cubes.

Video 1:
fullscreen here


Video 2:
fullscreen here

Factoring using diff. of squares

Here's another video..
fullscreen here

Solve for x by grouping

Here's number 2 in the series of new algebra videos. Remember, if you want to see fullscreen, click the icon at the bottom right of the window or click this link.

Solve for x using diff. of squares