Documents you may use on the Final Exam

Powers Chart
Factors of the first 100 numbers
Unit Circle

You can also have your flow chart for solving exponential and logarithmic functions.

Final Exam Review

Hard to believe but Finals are finally here.
We are working on Final exam review projects.
Final Exam Review Project
Final Exam Review one unit per page
Final Exam Review Condensed
Rubric

Unit 2 problem 11 has an error. please change it to x³ + x² - 16x - 16

Week of December 8

Monday - We finished the in class project where we created the sine and cosine curves. We also discssed the key characteristics of the sine and cosine graphs
Standard Form: y = a Sin bx     and y = a Cos bx
Domain: All Real numbers
Range: changes depending on amplitude and vertical shifts up and down
Amplitude = |a|
Period = 2π/b

Tueday  - We will graph sine and cosine and identify all of the characteristics.

Wednesday - We will graph Tangent and identify all of the key characteristics.

Thursday - we will review for the test on Friday

Friday - Trig Test

Unit 4 Review

Unit 4 Review

Unit 4 Review KEY

Optional extra points using USATestPrep

In order to offer students a variety of opportunities to improve their grade, we are offering a way for students to improve their grade as well as prepare for their final exam.
USATestPrep offers students tutorials and tests to practice all of the lessons we have covered and will be covering in the course.

I have created a how to tutorial page to help students set up an account or log in with an existing account. Click Here to view the document.

Students will log into USATestPrep and go to the pull down menus at the top of the screen and choose SLO - Advanced Algebra.

Students will then choose a topic that they need to study and complete the lessons and practice problems in that area. Once they feel confident with the topic, they can choose to take a practice test and choose the domain (Unit Name). the program will generate a 10 question test for that unit.

Extra points will be added to the existing test as follows:

70% - 5 extra points
80% - 10 extra points
90% - 15 extra points
100% - 20 extra points

Make sure that you choose Ms. McGuire as the teacher so that I will get a report of your progress and can give you your points.  You can also print a copy of your results and turn those in as back up.

November 17 - 21

Monday - we learned about the three types of exponential equations and the three types of logarithmic equations.  We completed a flow chart with steps and examples for each type of equations.
Notes solving equations
blank flow chart

Homework is on the last page of the Notes above.

Tuesday we will practice with solving all types of equations.
Practice sheet 1
Practice sheet 2

Wednesday we will review for the test on Logarithms and Exponential functions
For a copy of the review and key go to the post titled Unit 4 Review.

Thursday we will test.

Friday will be a catch up review day.

Expanding and condensing logarithms

Friday, Nov. 14, we worked on expanding and condensing logarithms.

Note page for properties of logarithms

We had homework that was due on Monday, Nov. 17.
Expanding logarithms practice
Condensing logarithms practice
Inverse practice  (example 1, 2, 6 all parts)

Week of November 3 - 7

Monday we discussed the characteristics of Rational functions and how to graph them.
Characteristics of Rational functions and graphs

Tuesday you enjoyed a day at home.

Wednesday we continued discussing characteristics of Rational functions. 1st and 3rd worked on a task using the ipads and a website called Desmos.com. Desmos is a graphing app and website. we were able to explore different functions and how together they made up a rational function, we were able to see how the roots of one function corresponded to the key characteristics of the rational function.
For more practice you can download the task and continue working on it using the website Desmos
Task on graphing rational functions

Thursday we will review for the test which is scheduled for Friday.If you need another copy of the review or you are absent on Thursday, you can download it and print it.
Review
Review Key
Remember that all reviews are mirrors of the actual test.

Friday we will take our last assessment on Unit 3 Rational and Radical functions.

Week of October 27 - 31

Monday - We started the second half of unit 3 with solving Radical Equations. if you need another copy of the notes. you can down load them Here

Tuesday we added to the solving of radical equations by using the same steps to solve Radical inequalities. Except step 4 changed. With inequalities there is no need to check your result, but if you are dealing with < or <= you have to find the lower bound by setting the radicand >= 0 and solving for the variable.  Remember that all answers for inequalities must be written in interval notation.

Wednesday - Today we started graphing radical equations. 

Notes graphing square roots
Keeper #6

Thursday we will continue with graphing radical equations this time with cube roots.
Notes for graphing Cube Roots
Keeper #7

Friday We will quiz over solving radicals and graphing radicals.

Review for Part 1 of the rational and radical test

If you are needing extra work on the first radical and rational test, here is a copy of the review and answer key that was given in class on 10/23/14
Review

Review Key

October 21 - Solving Rational Equations

Notes

Keeper #4 student note page

Let's get to work Task

Warm up today was on the board.

It was to find the LCM (Least Common Multiple)

1)  6, 8, x

2)  x - 5, x^2 - 25
3)  x, 2x, 7


Don't forget the test is on Friday, October 24.

October 20 - Adding and subtracting Rational Expressions

Notes
Keeper #3
Homework assignment: textbook pg 198-199, 17, 22-27, 28
Warm up
TOD - Write a letter to a friend explaining how to solve the problem 3/x+7  + 4/x-8

Georgia Tech Society of Women Engineers High School Outreach Event

https://www.eventbrite.com/e/georgia-tech-society-of-women-engineers-high-school-outreach-event-tickets-13656108789?aff=efbnen

Notes for week of October 13 and Homework

Tuesday Notes: Completed Notes - Simplify and Multiply
                          Student note page
                       
               Homework: Textbook pg 190-191
                                    18-20, simplify only
                                    24-27 multiply

Wednesday Notes: Completed Notes - Division
                               Student Note Page
                               Warm up
                               TOD
               Homework: Textbook pg 190-191
                                    28-31
Thursday : We will take a quiz

Friday:  We will continue practicing multiplication and division

Week of October 13 - preview

This week we start unit 3, Radical and Rational Equations

Monday - We will begin by reviewing factoring from unit 2. Rational expressions are polynomials that have been written in fractional form.
Tuesday  - We will practice Multiplying Rational Expressions
Wednesday - We will practice Dividing Rational Expressions
Thursday - Quiz on Multiplying and Dividing Rational Expressions
Friday - Pep rally Day - We will continue practicing Multiplying and Dividing Rational Expressions.

Week of Oct 6 update

Monday we worked on writing the equation of a polynomial give the zeros.
We also looked at sketching the graph of a polynomial give key characteristics.
If you would like extra practice with sketching the graph, you can click HERE

Tuesday we worked on solving systems of equations that consisted of a quadratic and a linear.
We learned to solve them graphically and algebraically. If you need the completed notes, you can click HERE
We also had a practice page. you can click HERE if you need another copy of the practice.  Both notes and practice need to be kept in your KEEPER notebook.

Wednesday we will finish reviewing for the test. Last Friday you received the review. If you need another copy, you can download it HERE

Thursday we will take the assessment and also begin a self assessment about where we are grade wise.  We will continue this project on Friday along with the BOX project.Download Box Project

A week in Preview, October 6 - October 10

Monday and Tuesday we will work on the final topics for the test on Wednesday.
We will learn how to take given roots and write an equation.
We will learn how to sketch the graph given key characteristics.
We will learn how to solve a system of equations that consist of a quadratic and a linear. We will do this both graphically and algebraically.

Tuesday we will also finish working on the review.

Wednesday we will take the assessment and complete a student survey.

Thursday we will work on a Box Project that will utilize what we have learned about Polynomials.

Friday we will begin work on Unit 3, Rational expressions.

This week in Review Sept 28 - October 3

Monday - We discussed how to determine end behavior of a graph by looking at a graph and by looking at the leading coefficient and degree of the polynomial. We created a chart in our notes. You can download a copy of the chart by clicking HERE
Then we looked at the 8 graphs we have been working with on all of our characteristics and learned how to identify the x and y intercepts graphically.

Tuesday - We learned how to find the x and y intercepts algebraically.
     Steps to find the x-intercepts of a polynomial algebraically

1. Set the polynomial equal to 0
2. Factor the polynomial completely
3. Set each factor equal to 0
4. Solve each for the variable

     Steps to find the y-intercept of a polynomial algebraically

1. Replace all x with 0
2. Simplify

We again took all of the equations that we have been looking at for the characteristics and used them to practice finding x and y intercepts. We used the graphs to confirm that we had solved correctly.

Wednesday - We learned how to use synthetic division and the Rational Root Theorem to solve polynomials for all zeros, also known as roots, solutions, x-intercepts.

For a Partial note page with a worked out example, click HERE

Thursday and Friday were review days.

Thursday you had several graphs to look at and list all the characteristics that we have been working on.  Unfortunately, I do not have a digital copy of the graphs.  You also had an end behavior worksheet that you can click HERE if you need another copy. Then there was also a page of polynomials to solve. I also do not have a digital copy of the 8 polynomials to solve. All of this work is due on MONDAY, Oct. 6.

Friday you will work on the review for the unit test. We still have some topics to cover but you can begin working on your review problems that we have covered and start your studying over the weekend.  If you need another copy, you can click HERE.

The Next Test is Wednesday, October 8

Tuesday, September 23, 2014 - Characteristics of Polynomial Graphs

Today we will work on the characteristics of graphs of polynomials.
We will discuss:
Interval notation
Domain
Range
Interval of increase
Interval of decrease
Relative Minimum and Maximum
Absolute Minimum and Maximum
Zeros, x-intercepts, solutions
y-intercepts

we will use a power point presentation for notes and have a guided note page as well.
you can download both here:
Student note page
Power point presentation of characteristics

We will also use parts of the Polynomials Patterns task to help us practice identifying all of the characteristics mentioned above. you can download an extra copy of that document as well here:
Polynomials Patterns task

Monday September 22, 2014

Today we applied what we had learned about operations with polynomials to operations with complex numbers.
We reviewed i and its powers.
we practiced adding, subtracting and multiplying complex numbers.
Homework is 1-32 even on operations with complex numbers
you must show work to get full credit.

Do Not Forget the Winter Break Assignment

If you lost your copy or forgot to pick one up last Friday, you can download your copy here: Fall Break work

Unit 2 Part 1 Review Answer Key

Want to check your work?
Need to know how you are doing on the review?
You can download the review answer key below:
test review answer key

Unit 2 Polynomials - Part 1 Review

We will work on this review Thursday, Sept. 11, to prepare for our test on Friday, Sept 12.
If you would like to get a head start on review, you can download the review here: Review

Factors of the first 100 number

If you lost your sheet of the factors of the first 100 numbers, you can print another one by clicking here: Factors of first 100 numbers

Week of September 8

This week we will be finishing the first half of the polynomial unit.

Monday we will discuss pascals triangle and the Binomial Theorem.
Tuesday we will practice Expanding binomials using the Binomial Theorem. We will also have practice with all of our factoring types.
Wednesday we will expand the rules of polynomials to include complex numbers.
Thursday we will review for our assessment.
Friday we will have our assessment.

week of Sept 3

If you missed the warm ups and TOD for this week, you can see them by clicking below.
Remember these are required for your keeper check which will be Friday Sept 12.
warm ups and TOD

Homework on Sept 3 and 4:
complete 1-12 on Kutasoftware Factoring when a = 1
complete 1-8 on Kutasoftware Factoring when a >1
complete any 10 on factoring difference of perfect squares

On Thursday, we completed a factoring puzzle working in pairs.

On Friday we will have notes on factoring the sum and difference of perfect cubes and we will have practice with all of our factoring techniques.

Quiz on Wednesday, August 27, 2014 and Keeper Check

DONT FORGET

We have a quiz on everything polynomial that we have learned:

classifying polynomials

Addition and Subtraction of polynomials

Multiplication of polynomials

Applications of polynomials

Also we have our second Keeper(notebook) check. I will be looking for the following:

Warm up 8/18 (2 pts)

Warm up 8/19 (2 pts)

And You Believe That, Task (10 pts)

Warm up 8/21 (2 pts)

Warm up 8/22 (2 pts)

Warm up 8/25 (2 pts)

Warm up 8/26 (2 pts)

TOD 8/26 (2 pts)

Warm up 8/27 (2 pts)

Total 26 pts

Unit 2 Polynomials

We started Polynomials on Thursday, Aug 21.
We began by identifying and classifying polynomials based on degree and number of terms.
Then we learned how to Add and Subtract polynomials.
On Friday, Aug 22, we practiced with identification and addition and subtraction.
On Monday, Aug 25, we learned about multiplying polynomials.
On Tuesday, Aug 26, we applied what we have learned about polynomials to finding perimeter and area of geometric shapes.

Below you will find links to warm ups, assignments, notes, and various odds and ends of information:

Keeper #4 Notes
Kuta Software worksheets Naming Polynomials
Kuta Software worksheet addition and subtraction of polynomials
Kuta Software worksheet Polynomial Basics
Warm up on 8/22/14
Warm up, application problems, TOD for 8/26/14

Unit 1 Part 2: Sampling and Questioning

We have spent the week of August 18-22 working on our sampling techniques and unbiased questioning.
We did the "And you believe that" task Monday and Tuesday.  On Monday we also looked at the Menu Project that was due on Friday, Aug. 22. and students placed their "orders" from the menu. The "orders" were returned to the students on Tuesday.
Wednesday, we discussed the required Side Dish, "Experiment Design" and had class time to work on our other activities for our Appetizer,  Entree, and other side dish.

All the Warm ups and TODs and Documents needed for the Week can be found below.

And You Believe That Task

Menu Project

Population Practice

Experiment Design

Sampling Activity

Warm up 8/19

Warm up Matching activity 8/20

TOD 8/20

Week 2

Monday we will continue the discussion of Empirical Rule and begin working on the task Let's Be Normal.

Tuesday we will take the first common assessment and then begin the discussion of z-scores.

Wednesday we will continue working with z-scores and finish the task Let's Be Normal.

Thursday we will review for Unit 1 Part A Assessment

Friday we will have an assessment for Unit 1 Part A. I will also collect your keepers and grade them.

Keeper #1 List
Warm up 8/5                    5 points
Keeper #1                       10 points
Warm up 8/6                    5 points
Warm up 8/7                    5 points
Keeper #2                       10 points
Warm up 8/8                    5 points
Empirical Rule Practice     10 points
Warm up 8/11                    5 points
warm up 8/12                     5 points
Warm up 8/ 13                    5 points
Warm up 8/14                     5 points
Warm up 8/15                     5 points
TOTAL                              75 points

Week 1

Monday - Today was a getting to know you day. As I reviewed Transcripts, students worked on Math Windows. Then students presented their Math windows to the class.
We also discussed the highlights of the syllabus.

Tuesday - For the warm up, students will measure each others heights in inches and record them on a sticky note. Then we will organize the data from smallest to larges and find the 5 number summary and create a box and whisker plot. then we will organize the data in different ways, for example histogram, dot plot.
Then we will take notes on Variance and Standard deviation. and practice finding both.
We will also discuss how to put lists in the calculators and use the calculator to help us fond the mean and the standard deviation and variance.

Wednesday - Then we will take notes on Variance and Standard deviation. and practice finding both.
We will also discuss how to put lists in the calculators and use the calculator to help us fond the mean and the standard deviation and variance.
Keeper #1

Thursday - We worked on the Bell curve and Normal distribution with the Empirical Rule.
We used Keeper #2

Friday - we quizzed over everything from the week and for homework we completed Empirical Rule Practice


I hope everyone had a great first week.

CCGPS Advanced Algebra Syllabus

CCGPS Advanced Algebra Syllabus

Welcome Back

Welcome back to another great year at Pebblebrook.
I look forward to assisting each of you as you continue your journey towards graduation.

I am attempting to do things a little different in my classroom this year. I am going to be doing what is called a flipped classroom.  In this environment, students will have the opportunity to watch videos at home and take notes at their own pace. They will come to class with notes and questions and we will address those questions and then work on problems and projects associated with the lesson they learned.
This allows students to have access to me when they are working on the "hard stuff".

On this blog you will find access to videos, assignments, and other important documents.

I hope this year is an amazing learning opportunity for everyone.