# CCGPS Advanced Algebra

### Resources Organized by Chapter

## Tips & Tricks for Online Learning

- Keep a notebook organized by chapter
- Take thorough notes and practice
__on paper__. - Try the self-check problems at the bottom
- Email me if you are confused on how to solve a problem
- Remember that quizzes & tests are timed so be sure you give yourself enough time to finish when you open it! Once it is opened you must complete it!
- You must show your work on the Worksheet/Assignments. The apps Genius Scan or Cam Scanner are free and will let you take a picture of your document and convert it to a PDF to upload. Or you can type your responses!

Calculator:

https://www.desmos.com/calculator

Standard Deviation Calculator:

https://www.easycalculation.com/statistics/standard-deviation.php

## Adobe Chat Links

## Fall 2015 Chats

8/3/15 Welcome Chat: http://gavirtualschool.adobeconnect.com/p5ol4r4c47n/

8/10/15 In this chat we looked at different methods of factoring, long division and synthetic division: http://gavirtualschool.adobeconnect.com/p8ude9lpf9c/

8/17/15: In this chat we reviewed operations with polynomials and inverses. I would look at this chat AFTER reviewing the content! http://gavirtualschool.adobeconnect.com/p8erx49dkk6/

8/24/15: In this chat we looked at compositions of functions, the quadratic formula and finding zeros (and what they mean on the graph): http://gavirtualschool.adobeconnect.com/p4viqxoj0yc/

8/31/15: 14 Week Welcome Chat:

http://gavirtualschool.adobeconnect.com/p3w2ns93cmm/

8/31/15: Graphs of Polynomials: extrema, domain/range, multiplicity:

http://gavirtualschool.adobeconnect.com/p60a9f60ipk/

9/8/15: In this chat we covered mult, dividing, adding & subtracting rational expressions along with solving rational equations: http://gavirtualschool.adobeconnect.com/p9d5qu5pgb8/

9/14/15: In this chat we solved radical equations:

http://gavirtualschool.adobeconnect.com/p85k5k7azjz/

9/21/15: Reviewed exponent rules, looked at rational exponents, then graphed exponential functions:http://gavirtualschool.adobeconnect.com/p6e3y8ul8j4/

9/28/15: In this chat we learned about logarithms, their properties and how to solve equations with them. I did problems like those on the Solve Equations Handout:

http://gavirtualschool.adobeconnect.com/p2z3ws4c2lj/

10/5/15: In this chat we did some commonly missed problems from the Exponential & Logs Test: http://gavirtualschool.adobeconnect.com/p4ycv25ofng/

10/12/15: In this chat we looked at function notation, greatest integer functions & piecewise functions: http://gavirtualschool.adobeconnect.com/p3cxlg0qksj/

10/21/15: In this chat we looked at inverse functions and problems like #2-4 of the Handout: http://gavirtualschool.adobeconnect.com/p1xj9lmccyy/

10/26/15: In this chat we looked at commonly missed problems from the Geometry & Modeling Quiz: http://gavirtualschool.adobeconnect.com/p5cjbaaqgb8/

11/2/15: In this chat we covered Normal Distribution and Z-Scores: http://gavirtualschool.adobeconnect.com/p31l9arvfcf/

11/12/15: In this chat we did a few more standard normal distribution problems: http://gavirtualschool.adobeconnect.com/p54qkye1l33/

11/19/15: This is an old chat but it goes over problems from the Conclusions from Data Handout: http://gavirtualschool.adobeconnect.com/p6cbukcb7fm/

8/10/15 In this chat we looked at different methods of factoring, long division and synthetic division: http://gavirtualschool.adobeconnect.com/p8ude9lpf9c/

8/17/15: In this chat we reviewed operations with polynomials and inverses. I would look at this chat AFTER reviewing the content! http://gavirtualschool.adobeconnect.com/p8erx49dkk6/

8/24/15: In this chat we looked at compositions of functions, the quadratic formula and finding zeros (and what they mean on the graph): http://gavirtualschool.adobeconnect.com/p4viqxoj0yc/

8/31/15: 14 Week Welcome Chat:

http://gavirtualschool.adobeconnect.com/p3w2ns93cmm/

8/31/15: Graphs of Polynomials: extrema, domain/range, multiplicity:

http://gavirtualschool.adobeconnect.com/p60a9f60ipk/

9/8/15: In this chat we covered mult, dividing, adding & subtracting rational expressions along with solving rational equations: http://gavirtualschool.adobeconnect.com/p9d5qu5pgb8/

9/14/15: In this chat we solved radical equations:

http://gavirtualschool.adobeconnect.com/p85k5k7azjz/

9/21/15: Reviewed exponent rules, looked at rational exponents, then graphed exponential functions:http://gavirtualschool.adobeconnect.com/p6e3y8ul8j4/

9/28/15: In this chat we learned about logarithms, their properties and how to solve equations with them. I did problems like those on the Solve Equations Handout:

http://gavirtualschool.adobeconnect.com/p2z3ws4c2lj/

10/5/15: In this chat we did some commonly missed problems from the Exponential & Logs Test: http://gavirtualschool.adobeconnect.com/p4ycv25ofng/

10/12/15: In this chat we looked at function notation, greatest integer functions & piecewise functions: http://gavirtualschool.adobeconnect.com/p3cxlg0qksj/

10/21/15: In this chat we looked at inverse functions and problems like #2-4 of the Handout: http://gavirtualschool.adobeconnect.com/p1xj9lmccyy/

10/26/15: In this chat we looked at commonly missed problems from the Geometry & Modeling Quiz: http://gavirtualschool.adobeconnect.com/p5cjbaaqgb8/

11/2/15: In this chat we covered Normal Distribution and Z-Scores: http://gavirtualschool.adobeconnect.com/p31l9arvfcf/

11/12/15: In this chat we did a few more standard normal distribution problems: http://gavirtualschool.adobeconnect.com/p54qkye1l33/

11/19/15: This is an old chat but it goes over problems from the Conclusions from Data Handout: http://gavirtualschool.adobeconnect.com/p6cbukcb7fm/

## Spring 2015 Chats

1/5/15: Welcome Chat - we covered what to expect in an online course: http://gavirtualschool.adobeconnect.com/p88qt9dll3l/

1/12/15: In this chat we discussed Properties of Exponents for the first 30 minutes, then z-score & normal distribution for the last 30 minutes!

http://gavirtualschool.adobeconnect.com/p2o44p13hym/

1/21/15: 16 Week Welcome Chat

http://gavirtualschool.adobeconnect.com/p6pg4dhyihg/

1/22/15: In this chat we covered normal distribution & z-scores with an intro to confidence intervals in the first 30 minutes, then more exponent properties & graphs of exponential functions in the last 30 minutes.

http://gavirtualschool.adobeconnect.com/p9ttc77ugom/

1/26/15: In this chat we spent the first 30 minutes looking at logarithms and the last 30 minutes exploring Confidence Intervals:

http://gavirtualschool.adobeconnect.com/p97hek6hbij/

2/2/15: In this chat we spent the first 15 minutes looking at Long Division and the last 45 looking at logarithmic functions & equations:

http://gavirtualschool.adobeconnect.com/p3qr3a9bds5/

2/9/15: I forgot to record this chat : (!! We reviewed the Central Limit Theorem and long division & complex numbers. Please email me with questions. I would say the newest thing we went over was complex numbers and here are a few good videos explaining them:

https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/v/complex-number-intro

2/16/15: In this chat we did a 10 minute intro to angles in standard form; then we spent about 45 minutes going over commonly missed questions in preparation for the Polynomials Test:

http://gavirtualschool.adobeconnect.com/p7foganliu1/

2/23/15: In this chat we spent the first 25 minutes looking at excluded values and multiplying & dividing rational expressions. Then we looked at finding co-terminal angles and converting from radians to degrees:

http://gavirtualschool.adobeconnect.com/p2j5ih48yw3/

3/2/15: In this chat we covered adding & subtracting rational expressions, solving radical equations & we looked at pos/neg & inc/dec:

http://gavirtualschool.adobeconnect.com/p7zj2rwmpts/

3/9/15: In this chat we covered graphing rational functions and identifying key features, then we looked at trig functions:

http://gavirtualschool.adobeconnect.com/p869jh45nxi/

3/16/15: In this chat we discussed an intro to Logarithms and then looked at commonly missed questions from the Trig Quizzes:

http://gavirtualschool.adobeconnect.com/p2v7eifyw67/

3/25/15: In this chat we covered log equations (2 - one at the beginning and one at the end) and then we did writing the equation of a line:

http://gavirtualschool.adobeconnect.com/p808majgq06/

3/30/15: In this chat we did a 10 minutes intro to Angles, Radians & Degrees. Then we looked at piece wise functions for about 30 minutes:

http://gavirtualschool.adobeconnect.com/p2du4nlag5x/

4/13/15: In this chat we looked at graphing trig functions for the first 20 minutes. Then we spent 20 minutes working on Operations & Compositions of Functions:

http://gavirtualschool.adobeconnect.com/p9q9spxx0at/

4/20/15: This was a short chat - we looked at inverse functions! : http://gavirtualschool.adobeconnect.com/p9fmz40g99q/

4/29/15: In this chat we looked at verifying inverse functions & inverse of logarithmic functions!

http://gavirtualschool.adobeconnect.com/p94amrkeh0h/

5/4/15: In this chat we looked at commonly missed questions from each test:

http://gavirtualschool.adobeconnect.com/p88qwuoy6h9/

1/12/15: In this chat we discussed Properties of Exponents for the first 30 minutes, then z-score & normal distribution for the last 30 minutes!

http://gavirtualschool.adobeconnect.com/p2o44p13hym/

1/21/15: 16 Week Welcome Chat

http://gavirtualschool.adobeconnect.com/p6pg4dhyihg/

1/22/15: In this chat we covered normal distribution & z-scores with an intro to confidence intervals in the first 30 minutes, then more exponent properties & graphs of exponential functions in the last 30 minutes.

http://gavirtualschool.adobeconnect.com/p9ttc77ugom/

1/26/15: In this chat we spent the first 30 minutes looking at logarithms and the last 30 minutes exploring Confidence Intervals:

http://gavirtualschool.adobeconnect.com/p97hek6hbij/

2/2/15: In this chat we spent the first 15 minutes looking at Long Division and the last 45 looking at logarithmic functions & equations:

http://gavirtualschool.adobeconnect.com/p3qr3a9bds5/

2/9/15: I forgot to record this chat : (!! We reviewed the Central Limit Theorem and long division & complex numbers. Please email me with questions. I would say the newest thing we went over was complex numbers and here are a few good videos explaining them:

https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/complex_num_precalc/v/complex-number-intro

2/16/15: In this chat we did a 10 minute intro to angles in standard form; then we spent about 45 minutes going over commonly missed questions in preparation for the Polynomials Test:

http://gavirtualschool.adobeconnect.com/p7foganliu1/

2/23/15: In this chat we spent the first 25 minutes looking at excluded values and multiplying & dividing rational expressions. Then we looked at finding co-terminal angles and converting from radians to degrees:

http://gavirtualschool.adobeconnect.com/p2j5ih48yw3/

3/2/15: In this chat we covered adding & subtracting rational expressions, solving radical equations & we looked at pos/neg & inc/dec:

http://gavirtualschool.adobeconnect.com/p7zj2rwmpts/

3/9/15: In this chat we covered graphing rational functions and identifying key features, then we looked at trig functions:

http://gavirtualschool.adobeconnect.com/p869jh45nxi/

3/16/15: In this chat we discussed an intro to Logarithms and then looked at commonly missed questions from the Trig Quizzes:

http://gavirtualschool.adobeconnect.com/p2v7eifyw67/

3/25/15: In this chat we covered log equations (2 - one at the beginning and one at the end) and then we did writing the equation of a line:

http://gavirtualschool.adobeconnect.com/p808majgq06/

3/30/15: In this chat we did a 10 minutes intro to Angles, Radians & Degrees. Then we looked at piece wise functions for about 30 minutes:

http://gavirtualschool.adobeconnect.com/p2du4nlag5x/

4/13/15: In this chat we looked at graphing trig functions for the first 20 minutes. Then we spent 20 minutes working on Operations & Compositions of Functions:

http://gavirtualschool.adobeconnect.com/p9q9spxx0at/

4/20/15: This was a short chat - we looked at inverse functions! : http://gavirtualschool.adobeconnect.com/p9fmz40g99q/

4/29/15: In this chat we looked at verifying inverse functions & inverse of logarithmic functions!

http://gavirtualschool.adobeconnect.com/p94amrkeh0h/

5/4/15: In this chat we looked at commonly missed questions from each test:

http://gavirtualschool.adobeconnect.com/p88qwuoy6h9/

## Fall 2014 Chats

Welcome Chat 8/4/14: http://gavirtualschool.adobeconnect.com/p4ieaprwsmc/

8/11/14: In this chat we did problems in preparation for your Measures & Normal Distribution Quiz Prep: http://gavirtualschool.adobeconnect.com/p2ifu33dsme/

8/18/14: In this chat we covered a few questions on z-score and then Confidence Intervals (the first 30 minutes are the Welcome Session for 16 week students so just fast forward!):

http://gavirtualschool.adobeconnect.com/p8gw7fhkm6y/

8/25/14: In this chat I answered some questions on Confidence Intervals and a few problems from the Conclusions from Data Handout (particularly #3). Then we did problems similar to those on the Operations with Polynomials Handout, (add, subtract, multiply - including Binomial Theorem, and division - synthetic and long) :

http://gavirtualschool.adobeconnect.com/p6cbukcb7fm/

9/2/14: In this chat we did questions on z-scores and confidence intervals,

http://gavirtualschool.adobeconnect.com/p6smuud6i02/

9/8/14 - In this chat we reviewed methods of factoring as well as a Perimeter & Area problem similar to the one on the Zeros of Polynomials Assignment: http://gavirtualschool.adobeconnect.com/p9qmdpmmg3r/

9/15/14: The first 30 minutes of this chat are a welcome session for 12 week students. Then we covered x-intercepts, multiplicity and geometric sequences & series:

http://gavirtualschool.adobeconnect.com/p16xw7xeksg/

9/22/14: The first 20 minutes of this Adobe chat go over z-scores and confidence intervals. Then the next 20 are rational expressions! I make a mistake in the last problem so ignore!

http://gavirtualschool.adobeconnect.com/pzuoke6w7g/

9/29/14: This Adobe chat covered Excluded Values, Factoring & Applications of Factoring:

http://gavirtualschool.adobeconnect.com/p3w2ej9zuu8/

10/6/14: In this chat we reviewed factoring (as needed for the Zeros of Polynomials WS), showed how to use the desmos calculator & went over long division. Then we did a few radical equations problems: http://gavirtualschool.adobeconnect.com/p7gqmmv2mkr/

10/13/14: In this chat we reviewed what margin of error and confidence intervals mean, then we looked at operations with exponents, specifically rational exponents:

http://gavirtualschool.adobeconnect.com/p6gl0o7qtzc/

10/20/14: In this chat we reviewed missed questions from the Graphs & Series Quiz as well as a few topics in preparation for the Polynomials Test:

http://gavirtualschool.adobeconnect.com/p621tqopvaj/

10/27/14: In this chat we covered rational expressions & operations:

http://gavirtualschool.adobeconnect.com/p6ljok07lke/

11/3/14: In this chat we went over excluded values, graphing rational functions & some radical equations problems:

http://gavirtualschool.adobeconnect.com/p49w3ulysye/

11/10/14: In this chat we went over graphing rational functions:

http://gavirtualschool.adobeconnect.com/p85womapgbo/

11/17/14: In this chat we worked on rational & radical equations and checking for extraneous solutions: http://gavirtualschool.adobeconnect.com/p9t3rjt18j7/

12/1/14: In this chat we reviewed commonly missed questions on tests:

http://gavirtualschool.adobeconnect.com/p31l0hgmxfq/

8/11/14: In this chat we did problems in preparation for your Measures & Normal Distribution Quiz Prep: http://gavirtualschool.adobeconnect.com/p2ifu33dsme/

8/18/14: In this chat we covered a few questions on z-score and then Confidence Intervals (the first 30 minutes are the Welcome Session for 16 week students so just fast forward!):

http://gavirtualschool.adobeconnect.com/p8gw7fhkm6y/

8/25/14: In this chat I answered some questions on Confidence Intervals and a few problems from the Conclusions from Data Handout (particularly #3). Then we did problems similar to those on the Operations with Polynomials Handout, (add, subtract, multiply - including Binomial Theorem, and division - synthetic and long) :

http://gavirtualschool.adobeconnect.com/p6cbukcb7fm/

9/2/14: In this chat we did questions on z-scores and confidence intervals,

http://gavirtualschool.adobeconnect.com/p6smuud6i02/

9/8/14 - In this chat we reviewed methods of factoring as well as a Perimeter & Area problem similar to the one on the Zeros of Polynomials Assignment: http://gavirtualschool.adobeconnect.com/p9qmdpmmg3r/

9/15/14: The first 30 minutes of this chat are a welcome session for 12 week students. Then we covered x-intercepts, multiplicity and geometric sequences & series:

http://gavirtualschool.adobeconnect.com/p16xw7xeksg/

9/22/14: The first 20 minutes of this Adobe chat go over z-scores and confidence intervals. Then the next 20 are rational expressions! I make a mistake in the last problem so ignore!

http://gavirtualschool.adobeconnect.com/pzuoke6w7g/

9/29/14: This Adobe chat covered Excluded Values, Factoring & Applications of Factoring:

http://gavirtualschool.adobeconnect.com/p3w2ej9zuu8/

10/6/14: In this chat we reviewed factoring (as needed for the Zeros of Polynomials WS), showed how to use the desmos calculator & went over long division. Then we did a few radical equations problems: http://gavirtualschool.adobeconnect.com/p7gqmmv2mkr/

10/13/14: In this chat we reviewed what margin of error and confidence intervals mean, then we looked at operations with exponents, specifically rational exponents:

http://gavirtualschool.adobeconnect.com/p6gl0o7qtzc/

10/20/14: In this chat we reviewed missed questions from the Graphs & Series Quiz as well as a few topics in preparation for the Polynomials Test:

http://gavirtualschool.adobeconnect.com/p621tqopvaj/

10/27/14: In this chat we covered rational expressions & operations:

http://gavirtualschool.adobeconnect.com/p6ljok07lke/

11/3/14: In this chat we went over excluded values, graphing rational functions & some radical equations problems:

http://gavirtualschool.adobeconnect.com/p49w3ulysye/

11/10/14: In this chat we went over graphing rational functions:

http://gavirtualschool.adobeconnect.com/p85womapgbo/

11/17/14: In this chat we worked on rational & radical equations and checking for extraneous solutions: http://gavirtualschool.adobeconnect.com/p9t3rjt18j7/

12/1/14: In this chat we reviewed commonly missed questions on tests:

http://gavirtualschool.adobeconnect.com/p31l0hgmxfq/

## Inferences & Conclusions from Data

This link helps identify some of the calculator terms that are referred to in the content: http://cfcc.edu/faculty/cmoore/TINormal.htm

Use this link for z-score charts:

http://www.regentsprep.org/Regents/math/algtrig/ATS7/ZChart.htm

Here is a standard deviation calculator:

http://www.mathportal.org/calculators/statistics-calculator/standard-deviation-calculator.php

__:__

**Measures Handout**- Be sure to use good reasoning for who should get the award (there is no correct answer as long as your reasoning is appropriate)
- See the video below for help with the chart

Measures Handout Help

## Polynomials

Long Division Help: http://patrickjmt.com/long-division-of-polynomials/

Synthetic Division Help: https://www.youtube.com/watch?v=bZoMz1Cy1T4

Here is a good video about finding max/min in a calculator: https://www.youtube.com/watch?v=keYBfngzopo

Solving linear systems extra practice: http://www.purplemath.com/modules/systlin5.htm

Solving linear-quadratic system: https://learnzillion.com/lessons/1363-solve-a-system-of-a-quadratic-and-linear-equation-by-graphing-no-real-solutions

## Rational and Radical Relationships

Multiply & Divide Rational Expressions: https://www.khanacademy.org/math/algebra2/rational-expressions/multi-div-rational-exp/v/multiplying-and-dividing-rational-expressions-1

Solving Rational Equations: https://www.khanacademy.org/math/algebra2/rational-expressions/solving-rational-equations/v/solving-rational-equations-1

Domain & Range of Radical Functions: http://radicalfunctionssp2010.weebly.com/domain-and-range.html

## Exponential & Logarithmic Functions

Solving Exponential Equations: https://www.youtube.com/watch?v=M6f6dANVyxA

Solving Log Equations: https://www.youtube.com/watch?v=59j0ALU3N7k

Properties of Logs: https://www.youtube.com/watch?v=LwNpOWg78h4

Graphs of Exponential Functions (basic)