In case you didn't listen in class...

Alright. Today in class we went over last night's homework and answered any questions that you had (that is if you weren't there or just didn't pay attention). Last night's homework was the first two sides of the packet about graphing Logs. The post below will have what you need. Tonight's homework is to finish the packet. As Anthony FAILED to mention yesterday, Mrs. Prior handed out the Midterm Review Packet that we all know and love. So, if you didn't get one, ask.

Click here to view the solutions for the Practice Graphing Exp. & Log Functions packet

Click here for a blank copy

Today we took another awesome mad minutes and went over questions in our previous homework together. Today’s homework is to complete questions 1 through 4 in the packet

Calendar for January 2013, including exam schedule:

Click here to complete the online writing assignments on Logs.  These assignments will be DUE by 11:59pm on Thursday, January 3, 2013.

Click here for summary notes on Logs

Alex!  Don't forget- your group is posting this week!

Today in class we learned about logarithms and how a log. function is the inverse of an exponential function.  The homework is GPC number 7.  p.178 #1-11,15,17,22,24 and p.178 #48,50-52

Today in class, we took a quiz on composite functions and inverse functions.

Homework: NONE.

Ten Essential Questions on Compositions & Inverses:

Essential Questions: What is a composite function? How do we create a composition of two or more functions? What do we know about the domain of composite functions? How do we decompose a function? And 6 more....
Classwork: Today we went over the 10 essential questions that summarize what we have learned so far(Mrs. Prior took a picture of them). Specifically, we spent more time reviewing how to restrict the domain of the original function so that the inverse would be a function.
Homework: Study for the quiz on Wednesday! It would be helpful to review the essential questions, Glencoe homework assignments, and the rule of four packets. Also, all of the notes we have taken during class. Good luck studying!

December 6, 2012

Today in class we received Contemporary Mathematics in Context textbook (blue). Everyone needs to return the orange books at some point. Then, we worked on Investigations 1 and 2 in the blue book (pg 143-149) and tried answering the essential questions written on the board.

Essential Questions:

• What is the definition of inverse function?
• What is the relationship between the domains and ranges of inverse functions?
• What is the relationship between the graphs of inverse functions?
• How do we verify algebraically that two functions are inverses?
• When does a function have an inverse function?
• How do we algebraically find the inverse of a function?

Homework: GPC assignment # 4 (pg 71 #46, 48, 50, 52; pg 70 #14, 16, 18, 28, 30) due tomorrow

Re-works for Function Families and Vertical Transformations Quiz due Monday

Reminder: Quiz on Monday

Today in class 12/5 we talked about the definition of inverse functions. We also discussed the factors that have to be true for two functions to be inverse. We discussed and did practice problems on how to find and verify/ prove inverse functions. We went over why some functions must have restrictions put on them in order to find the inverse functions. If a function doesn't pass the horizontal line test it must have restrictions on it's domain before the inverse function can be found. There was no homework tonight.

Yesterday 12/4 in class we went over the homework from Monday and went over how to decompose functions. We also made a table about what Opposite, Reciprocal, Additive Inverse, Multiplicative Inverse, and Inverse functions. We also went over what Identity was. Our homework was in the Glencoe Precalculus book assignment 3.

Notes on Identities/Opposites/Reciprocals/INVERSES:

All right... who is supposed to be recording this week?!

BONUS POINTS for anyone who can effectively remind me to assign weeks for recording on the website!

EQ: What is a composition of functions?  How do we compose two or more functions and simplify the result?

In-Class: We did a Mad Minutes quiz.  Mrs. Prior checked the HW (GPC#1) and then we went over the HW answers.  We did more practice composing and simplifying functions.

Mrs. Prior handed out the new investigation in a packet.

Homework: Inv. 2 #4-6 (in new packet)

Click here for solutions to the Modeling Review Wkst

Have a Happy Thanksgiving!

Summary Notes on All Transformations:
(click to enlarge)

EQ: Something about horizontal translations.
In-Class: We did an activity that will continue tomorrow in class, where we had to identify equations from graphs of different parent functions. These graphs included both horizontal AND vertical translations.
Homework: Pages 10-15 in the PINK Packet due tomorrow!

Tuesday, November 13, 2012

In class today, we were given a new equation that was ±Af[C(x±D)]±B. Each group was given a colored sheet of paper that was considered "part" of the equation and had to write down what it meant. Part of what we learned was about horizontal transformations. Pictures to come soon, but for the part [C(x was the id o<c<1, the parent function would be stretched horizontally, if c>1, than the parent function is compressed horizontally. However, in most cases except for trig functions, the C value can be used as an A value. The ±D)] part is when it is being added, the graph translates to the left. If it's being subtracted, the graph shifts right.
For homework we were given a pink packet with graphs of certain function families and transformations to fill out. Pages 4-9 are due tomorrow.

Yesterday 11/7 in class we went over the Practice with Vertical Transformations on Function Families packet that was homework over the weekend. Mrs. Prior posted the answers on the blog. We have a full class quiz on these types of problems tomorrow 11/9.

REVIEW for Quiz on Function Families Lessons 1 & 2:

Click here for a blank copy of the Modeling Practice Problems
Click here for Solutions to Modeling Practice Problems

Click here for a blank copy of the Vertical Transformations Practice
Click here for Solutions to the Vertical Transformations Practice

In class we went over some portions of the packet, and how to make equations more simple in order to transform the graphs.
The EQ is:  What are the effects of A and D on the graph and table of  +/- A(F(x))+D? 
The homework is to check over the answers to the packet with the answer key on the website.

Essential Question: What are the effects of A and D on the graph and table of +/- A(F(x))+D?
In Class: Today we did an activity of posing in the shape of specific functions, and talked about certain variables that would translate, reflect, compress or stretch parent functions. A packet, "Practice with Vertical Transformation on Function Families", was given out to, well, practice graphing functions of the form +/- A(F(x))+D.
HW: None for tomorrow, though test corrections are due Friday. May be a good idea to do a couple graphs in the packet.

Today we introduced the next lesson. We examined how to model the cooling of hot coffee and the heating up of ice cream in a broken freezer. The homework for tonight is in the Orange Book: pg 445 OYO and pg 449 OYO.

In Class: For the first half of class we went over the packet we did for homework. We looked at piecewise functions, both drawing them and wiriting equations. Then, we looked at a setpwise function. When we came back from lunch we took a partner quiz.
HW: No homework this weekend!!!

In Class: Today in class we worked on piece wise graphs and graphing them when we are given equations. Then we put the graphs on the board and discussed them. Also, we did the same thing with floor and ceiling graphs.
HW: Finish the piece wise packet that she gave us at the end of class for Friday and also the writing assignment is due Friday.

In Class: Today in class, we worked on our packet with practice problems for the function families. Practice problems inluded solving linear, exponentail, and power model euquations. Mrs. Prior also passed back a few papers from a while ago, like the unit circle quiz filling in coordinates.
HW: Finish the packet except for nmber one on the last page. This means #1-3, #1-6,and #8. You don't need to do the step function on the last page!  

Click here to view the solutions to the Practice Problems on Linear, Exponential & Power Models

In Class: For the first half of the class we peer edited our writing assignments. Mrs. Prior stressed the idea that communicating our thinking and ideas is the most important, not necessarily if you arrive at the correct answer. She gave us a hard copy of the rubric on colored paper. The second of the class we went over problem #5 on page 426. We discussed how to find volume of an irregular shape if you are given the area of the base or height. With problem 5 part d, the volume and area of the base were given, so we were able to find the base.
HW: The writing assignment is due on Friday and MUST be typed. We were also given a packet and Mrs.Prior told us to start it and we will have time to work on it tomorrow in class. You should be able to do the kidney bean pool problem.  

Thursday, October 18, 2012

In Class: We did a quick quiz on labeling the function families of graphs. Also, we worked on our writing assignment with our partners that chose to describe the same senario for last night's homework. Remember for the equation part that Mrs. Prior doesn't care if it is right; she just wants to see your effort and frame of thought.
HW: Work on the writing assignment draft that is due Monday.
Field trip people- Work on the writing assignment along with pg. 434 #1 and #2 in the thin orange book.

Essential Question: What type or types of situations can be modeled by  the various function families?
In-Class: Mrs.Prior is back! At the beginning of class we took a mad minute quiz.  We also did an activity with different graphs and had to form a group with people that had the same function families. Then we tried to pick a problem that would best represent the graphs we were given.  Some people had no problems, some people had one or two. We added these graphs and problems to the posters of the different function families. Go math!
HW: Jot down some ideas about ONE problem out of the four given on the assignment paper. Be prepared for a quick quiz tomorrow on function families. Four graphs will be given and then we have to decide what family each belongs to.  

Essential Question: How do we identify which family a function belongs to if we are given a ...graph? ...equation? ...description? ...table?
In-class: Mrs.Prior was absent today, and we had a substitute. We were given the entire class to work on #2-6 on p.424-427 in the orange books we got last week (Contemporary Mathematics in Context). 
HW: Finish #2-6 on p.424-427.

In-class: In class we took a mad minute quiz and went over it after. Then, Mrs. Prior explained and made posters for ceiling, floor, and piece-wise functions and what they model in real life.
EQ:How do we identify which family a function belongs to if we are given a graph? ...equation? ...description? ...table?
HW: No homework for the weekend!

Here's the list of Glencoe assignments for Unit 2 Function Families:

Click to enlarge

In Class: Today Mrs. Prior, put out the posters we made yesterday (see yesterday's post), and we looked over them and asked any questions about the function families. We also finished filling out the tables in the blue packet. Mrs. Prior also went around the room and checked the Glencoe Pre-Calc HW assignments #6-8 and #1 of the new unit (p.52 #1-6). An orange textbook was handed out for the new unit. This textbook can be kept at home.

Essential Question: How do we identify which family a function belongs to if we are given a graph? ...equation? ...description? ...table?

Homework:  Orange Book p.423-424 #1

In-Class: Today, in class, we got together with a partner picked by Jethro and we got handed a graph from the blue packet. We had to use the graph to make a poster that outlined the name of the function, the equation, the graph, the table, the domain and range, words to describe it, as well as how we would describe to someone younger.
EQ: I have no idea.
HW: Glencoe Precalculus, Page 52 #1-6

Tuesday, 10/9

In class: We got two packets, in one packet there were layouts for pasting graphs, equations, domains, ranges, and function families for equations. In the other were the graphs, equations, etc that were made for cutting and pasting. This is what we worked on in class.

Homework: Finish cutting and pasting the rest of the packets in order.

Instructions for Function Match:

(click to enlarge)

ROY!  Your group is responsible for entering the HW and Objectives this week!

CLICK HERE to view solutions to your first quiz
CLICK HERE to view solutions to the Quick Quiz on graphing
CLICK HERE to view selected solutions to the Six Flags problems

Tuesday, October 2 2012

Today in class we got into groups and continued to review the colored papers. We reviewed what would be on the test. Our homework is to study for the big test on Thrusday. Good luck!

Monday, October 1, 2012

Today is class we went to the computer lab to fill-out a survey. Then we went back to class and got into groups according to the color of homework paper. We worked in our groups reviewing our homework and got another sheet of colored paper to do for homework. The other homework was GPC#8 due tomorrow. We have a test on everything we have covered so far on Thrusday. There is an extra help session tommorow after school. Good luck!

today in class we went over homework and worked on writing equations by using a graph as well as finding points on sin and cos graphs by only using the equations
the homework for today was gpc #7

Please REGISTER YOUR GRAPHING CALCULATOR here

CLICK HERE to view solutions for the packet "Practice Graphing AsinCx+B"

Today we did this activity with a bunch of graphs that made no sense until we found out that they are different functions of Sin and Cos. We found differences between these graphs and we started talking about them and then the bell rang. Oh and do GPC assignment #6.

In Class- Today we learned how to find the length of an arc and the area of a sector given the radius by utilizing proportions. The proportion of the angle to the whole circle is equivalent to the length/area of the arc/sector compared to the circumference/area of the circle. Homework- study for tomorrow's quiz.

CLICK HERE for the solutions to the Review Packet for the quiz

CLICK HERE for Exemplars of Explanations on Using the Unit Circle

Student Solutions to the Arc Length/ Sector Area Wkst (click to enlarge):

Mrs. Prior's Notes on Arc Length & Sector Area (click to enlarge):

In-class: We took a quick-quiz on the unit circle (filling in the coordinate points and the radians). We also played bingo to review for the quiz on Tuesday.
Homework: Unit 6 Circular Functions Review Packet (optional).
Reminders: There will be a quiz on Tuesday 9/18.

Essential Question: How do we convert between angle measures?
Classwork: Did another Mad Minutes quiz, talked about, explained and came up with examples of co-terminal angles (equations- x+360°n or x+n2π where is x the given degree and n is the number of full rotations [must be a whole number]). We labeled radians for all labeled angles on the unit sheet as well. (Trick to remember: All 45° degree related measure are 1/4π greater than the last. All others go up by 1/6π.) We also went over the homework (assignment #3) in class.
Homework: Assignment #4 (due 9/13) 
                 Writing Assignment (due 9/14)

Essential Question: What is a radian?
Class: Took a quick quiz on x and y-cordinates and thier relations to circle degrees when on an x-y plane and right triangles. Then we tried to convert radians to degrees and radians to degrees. There are many different way to do this. Such as using a proportion, dimensional anaylsis, or multiplying. We now know that 1 radian=180 degrees/pi and 1 degree=pi/180 degrees.
Homework:Assignment #3(due tomorrow) and the online assignment (due friday)

Essential Question:What is a radian?
Class: New seats, blog assignments, online assignment, continued going over radian worksheet (millimeter beads), radian is another way to measure angles (bigger than degrees), 2pi is the amount of radians in a circle
Homework:Come up with radian measures for all special angles (on unit circle...30, 45, 60, 90, 120, 135, 150, 180, 210, 225, 240, 270, 300, 315, 330, and 360), Quick Quiz tomorrow on x and y-coordinates and degrees in the Unit Circle

Complete the online writing assignment by clicking HERE.  This assignment is due by 11:59pm Friday 9/14.

Essential questions:  How do we use the Unit Circle to graph the functions sine and cosine?  How can we find and/or estimate values of sine and cosine using the circle and/or the graphs?  What is a radian?

*We took a QQ on the Unit Circle and "Mad Minutes" #2

HW:  CYU p.427 in online CorePlus textbook

Essential questions:  How do we use the Unit Circle to graph the functions sine and cosine?  How can we find and/or estimate values of sine and cosine using the circle and/or the graphs?

HW:  CYU p.427 in online CorePlus textbook;  Quick Quiz on angle measures and coordinates on the circle

Essential question: How do we find the x-coordinate and/or y-coordinate of a point on a circle given only the angle of rotation and the radius?

HW:  Make sure you can view the online textbook...if you have problems, please see me on Tuesday.  Have a great long weekend!

Essential question: How do right triangles relate to circles?

HW:  GPC #2 and find "formulas" for the x-coordinate and y-coordinate of a point on a circle (with radius 1) based on the angle of rotation.

Essential questions: What do we remember about right triangles?  How do right triangles relate to circles?
HW: Fill in coordinates for all "special" angles on the circle; Color and cut out triangles on yellow oaktag

Complete the "Getting to Know You" survey here

Looking forward to a great year in 2012-2013!