Click here to view solutions to the graphing portion of the Rational Functions packet (p.23-28)

Click here to view the SOLUTIONS to the Polynomials Review Packet

Click here to view the completed PINK Polynomial Packet

Solution to #15 from Review Packet:

This week we have been working on proving trigonometric identities and other problems involving them. The homework this week was hw #15 and #16 on the hw sheet. They were both in the GPC book. In class we practiced doing proofs and we also learned new methods to solve problems and to think about them. We also have a test next week on Friday 3/29 on proving the trig identities and on everything having to do with trig and inverse trig functions

Click here to view the solutions to the "Levels" of Trig Equations packet

Click here to view the solutions to the Review Packet/Stations

Proofs from class today:

Friday March 15, 2013

Today in class we worked on #14 on the homework sheet, which is p446 #5 in the blue book. For homework we have to finish #14 on the homework sheet.

Identities from p.466 in Blue 4B book:

Thrusday March 14, 2013

Happy Pie day!!!
Today in class talked about identites and the difference between simpifying and proving.
Simplifying: Start with one expressiona dn use identites and algebra to turn that expression into an equivalent expression.
Proving: Start with two expression and use identites and alegbra on one or both expression until both sides are the same.
Homework is #13 on the homework sheet. And tommorrow bring your blue book to class!

Wednesday March 13, 2013

Today in class we reviewed #11 and #12 from the homework sheet. There is no homework tonight!

Tuesday March 12, 2013

Today we took a quick quiz on reciprocal trig functions. We also took notes and prove the statement that sin theta squared + cos theta squared = 1
The essential question was
Of a circle with radius x^2+ y^2 =r^2
Homework is #12 on the homework sheet. 

Monday Marach 11, 2013

Today we took notes on Reciprocal Identities and discussed sec, csc and cot in a right triangle,unit circle, and on the graph. The essential questions were
What are the 3 reciprocal trig functions?
What is the meaning of reciprocal trig functions in right triangles and the unit circle?
How do we graph reciprocal functions?
Homework tonight is #11 on the homework sheet. We have a quick quiz tomorrow!

Examples of Simplifying Trig Expressions using Identities (3/13/13):

Notes on the Pythagorean Identity (3/12/13):

Click here for the COMPLETED "Cut & Paste" graph packet

Today in class we were introduced to Cosecant, Secant, and Cotangent.

The homework is numbers 9 and 10 from the homework sheet.

Today in class we continued review for tomorrow's quiz.
The homework for tonight is to study for tomorrow's quiz.

For the quiz, you need to know:

• How to graph a tangent function (5 points)
• Graph the 3 inverse trig functions (5 points) and answer domain and range questions about them, why they make sense, and what the axes represent.
• You will need to know how to solve linear trig equations
• Primary solution and what it means
• All solutions on given interval
• Find an expression for all solutions
• Be able to deal with happy and unhappy numbers
• Be able to use the graphs to find these values
• Solve Tangent equations

Today in class we worked on more problems from the packet we received on Friday.

Homework: Get ready for the quiz on Wednesday!

Essential Questions: (of last week) How do we graph the inverse trig. functions? How do we solve linear trig. equations?

Thursday  February 28th and Friday the 29th:
In Class: We went over examples of solving cosine and sine inverse functions. We learned that the primary solution is the number given by the calculator because it is the solution on the inverse function. Then we looked at all solutions on [0, 2pi]. We learned it was helpful to draw the graph and then locate the solutions on there. Finally, we learned how to find all solutions (adding the period*n to the primary and secondary solutions). During class we talked about course selections as well.
Homework: Thursday: gold packet p.583 #12, p.585 #3. And the writing assignment was due on Friday.
Friday: Finish the first three problems of the practice problems packet we were given.  

Click here for solutions to the Trig Equations Link Sheets

In Class: Today we took our quick quiz at the beginning of the class. Then, we all received an equation and had to find our partner. Once we had partners, we looked at all the equations and grouped them by their similarities. When the bell rang, we were solving our given equation.
Homework: Work on the writing assignment due on FRIDAY!

Essential Question: How do we graph the inverse trig. functions?  
In Class: Today we went over how to graph the inverse of sine, cosine, and tangent. One method that we focused on was making a table using the coordinate points on the parent function and switching the values to find the inverse. We also talked about the importance of concavity. At the end of class, we were asked to solve the problem: 2 cos(x) -1=0. Mrs. Prior left us to think about how many solutions that equation would have.
Homework: page 288 #1-14 and #29-40. Tomorrow we have a quick quiz on graphing trig. functions!

Today in class 2/12 we had a sub so we were assigned to do Investigation 1 #1-4 which started on page 459. The homework was to complete these problems if you didn't do so in class.

Click here to view the "calling cards" (problems) from Log Bingo
Click here to view the solutions

True Statements:

False Statements:

Tuesday, 2/5/13

In Class: Today in class we went over last nights homework, went over some essential questions and what will be on the big quiz. We went over more problems with logs and natural logs. We also took a mad minute.

Homework: Page 450, Numbers 6 and 7, page 452 number 5 and page 453 number 4! Study for quiz on Thursday!

Monday (02/04/13)

In-Class: Today, we worked on our partner worksheets, finalized our answers, and handed in the worksheet to be graded. After, we took notes on how to draw graphs involving the special number "e" (exponential and logarithmic). These graphs also included multiple transformations.
HW: Blue Book (4B), Pages 452-3: #1 and #2. Also, we have a test on Thursday on inverses and logarithms!

Friday, February 1, 2013

In class: Today we reviewed Wednesday's homework, learning that e is a concept and not a number, which explains the structure of the formula for compounding continuously. We also began a partner worksheet that will be collected Monday.
HW: Finish the partner worksheet.

In class: Today we went over certain parts of last night's homework on the board and solidified our understanding of how to rewrite exponential functions with different bases. We also learned about natural log and the significance of e as a number and as a base in an exponential function. When e to the power of x is graphed, it has the slope of 1 at the point where it meets the line y=x.

Homework: A worksheet with more compounding interest and exponential function practice.

Essential Questions: How do we express exponential function in equivalent forms with different bases? How do we use exponential functions to solve problems about compounding interest?

Reminders: There will be a test on this material sometime next week!

In class: On Monday and today we took notes about bases,compounding and continuous compounding. We learnt about e means and limit notation.
Homework: Pg.451 #2 and Pg.452 #3 (Both of these are modeling problems and remember to do this because it will effect whether are not you can complete a rework for a test or quiz)! Just in case you didn't do Monday's homework it was a compounding worksheet.
Essential Questions: How do we express exponential functions in equivalent forms with different bases?
How do we use exponential functions to solve problems about compounding interest?   

Janurary 25 2013

Today we worked in the new blue book number 1,2,4,5 on page 438. Our homework is number 6 on page 440 and the OYO.

January 24, 2013

Today was midterm review day! We got back our midterms.  We took two surveys in the computer lab. No homework except try to bring in your blue book tommorrow we're getting a new one. First day of Semester two tommorrow!

Click here to complete the Midyear Student Reflection
AND
Click here to complete the Midyear Teacher Feedback

Click here to view solutions to the Midterm Review Packet
(keep in mind there may be a few mistakes!)
Click here to view the question breakdown of the exam

Click here to view solutions to all of the Log Stations

In class today (Tuesday) we continued with the log station activity.

The homework for tonight is to continue doing the midterm packet. The writing assignment is also due tomorrow. The big quiz on logs is Friday.

Friday, January 4, 2013

In Class: Today we did a mad minute at the beginning of class. We also learned how to solve three different types of log functions. The first just uses the definition of a log, the second uses the properties of logs and the definition, and the third has logs on both sides.

HW: Do GPC#12 and work on the midterm-review packet.

In Class: We had a Mad Minutes quiz at the beginning of class, then we went over the answers together. Afterward, we fixed a misprint in our midterm packet on #21: the function should be f(x)=log(base 3)(3x-6)+2 instead of 10^(x+1)=29. We got the rest of class to work on the Partner Writing Assignment, which is due next Thursday, January 10. (We got to choose our partners.) Each pair should turn in one final draft, and Mrs. Prior would like it if we sent them to her email so she can grade them on her iPad.

Homework: Do GPC #11, work on the midterm packet as well as on the Partner Writing Assignment, and don't forget that the individual Online Writing Assignment is due tonight by 11:59 pm!

Reminders: There is a big logs quiz next Friday, January 11! Our midterm exam is the Friday after that, January 18.

Essential Questions:

• What is the definition of a logarithm?
• How do we rewrite exponential equations?
• What are the properties of logs and how do we use them (Exponent, Product, and Quotient)?
• How do we change the base of log equations?
• How do we graph basic (ex. log base 2 of x) and transformed (ex. log base 2 of (x+3)) log functions?
• How do we solve exponential equations using logs?
• How do we solve log equations?

Examples of solving exponential equations using logs (from class 1/2/13):

First post of 2013!

In Class: We got our schedule for January and important dates to come ahead which included the early release on the 8th, assignments, the quiz and our midterm schedule. We worked on six equations with x as the exponent and as the base which we then had to solve those algebraically WITHOUT A CALCULATOR for x.

Homework: Online Writing Assignment due tomorrow (scroll down to the Dec.17 post), GPC# 10, and maybe even attempt to start the midterm review packet!
Essential Questions:

• What is the definition of a logarithm?
• How do we rewrite exponential equations?
• What are the properties of logs and how do we use them (Exponent, Product, and Quotient)?                 
• How do we change the base of log equations?
• How do we graph basic (ex. log base 2 of x) and transformed log functions?
• How do we solve exponential equations using logs?
• How do we solve log equations?   

IMPORTANT DATES: 

• Jan.3rd-Online Writing Assignment due and we are going to work on a partner writing assignment           
• Jan.10th-Partner Writing Assignment Due FINAL
•  Jan.11th-BIG MATH QUIZ
• Jan.18th-MIDTERM