## Unit 5 Conics: Advanced Algebra & Statistics

Unit 5 is all about getting to know Conic Sections.

GPS Standards: MM3G1, MM3G2 & MM3G3c

Essential Question: How can the standard equation of the circle, ellipse, hyperbola, and parabola help to draw these shapes?

Write 3 things you learned.

Give 2 examples.

Tell 1 thing you still do not understand or would like more information on.

## ILT Functions, Graphs & Reading

Recently you have analyzed graphs & matched real-world situations appropriately. You have also translated between verbal descriptions of situations & sketches of graphs.

1. Describe 3 things you learned with functions & graphs.

2. Give 2 examples in detail.

3. State 1 misconception or something you still need help with.

**Bluford Series**

1. State the name of the book you are currently reading.

2. Give a brief summary.

3. What is your opinion of this book? Relate the book to something in real life.

## Unit 4 Advanced Algebra & Stats Solving Equations & Inequalities

This unit requires you to have an understanding of solving basic equations from Math I & Math II. Properties of exponents and logarithmic functions were introduced in Unit 3, and will be related to lessons in Unit 4. If you are weak solving equations, then address the problem now.

**GPS Standards:**

MM3A2d Understand & use properties of logarithms by extending laws of exponents.

MM3A2g. Explore real phenomena related to exponential & logarithmic functions including half-life & doubling time

MM3A3a. Find real & complex roots of higher degree polynomial equations using the factor theorem, remainder theorem, rational root theorem & fundamental theorem of algebra, incorporating complex & radical conjugates.

MM3A3b. Solve polynomial, exponential & logarithmic equations analytically, graphically & using appropriate technology.

MM3A3c. Solve polynomial, exponential & logarithmic inequalities analytically, graphically & using appropriate technology. Represent solution sets of inequalities using interval notation.

MM3A3d. Solve a variety of types of equations by appropriate means choosing among mental calculation, pencil & paper, or appropriate technology.

Click Here for Video on Log Application & Half-Life

Click Here for Video on Half-Life Practice Problems

Click Here for Videos on Solving Exponential & Logarithm Equations

**Essential Questions:**

- What are logarithms?
- What might the relationship be between exponents & logarithms?
- How are the properties used to solve exponential & logarithmic equations?
- How do you use exponential & logarithmic equations in banking, finance & science?

**Create a Thinking Map organizing the above information. Include vocabulary, GPS Standards & essential questions with solutions. Also include a real-world example.**

## Copyright Laws & Plagiarism

Often times students are asked to create projects, write essays, and utilize resources from the media, internet, and the library.

**1. How often do you cut & paste information you find on the internet? **

**2. What are the do’s & don’ts of Fair Use of someone else’s idea or work? **

**3. Why is it important to cite sources?**

**4. How original is your work?**

Dr. Backer of Cambridge College shared the following videos directed by Eric Faden & Weird Al Yankovic.

**5. Summarize your thoughts & give your opinion after watching the following videos.**

## Are schools killing creativity?

What do you think about the Ted Talks video from Ken Robinson? Do you agree or disagree & why? Explain your own experiences. Do you have any solutions?

## Unit 3 Essential Questions Advanced Algebra

**Unit 3 deals with lots of Exponents & Logarithms (Georgia Performance Standards):**MM3A2 – Students will explore logarithmic functions as inverses of exponential functions.

**Process Standards:**

MM2P1. Students will solve problems (using appropriate technology).

MM2P2. Students will reason and evaluate mathematical arguments.

MM2P3. Students will communicate mathematically.

MM2P4. Students will make connections among mathematical ideas and to other disciplines.

MM2P5. Students will represent mathematics in multiple ways.

**Answer 3 or more of the following Essential Questions:**

1. What are natural logarithms?

2. What is the difference between logarithmic growth & decay? Include a graph & a mathematical model.

3. What is a logarithm?

4. Explain how logarithmic functions are inverses of exponential functions.

5. How can you simplify expressions with rational & radical exponents?

6. What is the difference between natural logarithm & common logarithm?

## GPS Advanced Algebra Unit 3

**Unit 3 deals with lots of Exponents & Logarithms (Georgia Performance Standards): MM3A2 – Students will explore logarithmic functions as inverses of exponential functions.**

**Process Standards:**

MM2P1. Students will solve problems (using appropriate technology).

MM2P2. Students will reason and evaluate mathematical arguments.

MM2P3. Students will communicate mathematically.

MM2P4. Students will make connections among mathematical ideas and to other disciplines.

MM2P5. Students will represent mathematics in multiple ways.

**Describe something you have learned in class or relate what you have learned to the real world. Describe a career that depends on this area in math & exponents and logarithms are used.**

**Your comment should be in the form of 3-2-1 (3 things you learned, 2 examples you can explain, and 1 thing you still need help with).**

Check out classzone.com to practice math concepts. Unit 3 animations correspond to the Math III curriculum in Georgia. Practice Solving Radical Equations. Math I Unit 3 helps with simplifying radicals.

Real World Example from classzone: How does the hang time of a jumping human compare to that of a kangaroo? In this activity, you will explore this problem and learn how to solve radical equations.

Watch the following vidoes for extra help:

Convert between logarithms & Exponents

## GPS Advanced Algebra Final Exam Review

Open the following links to play an online Jeopardy Game. If you find any errors please post the corrections so I can update the game (state the problem & solution).

1. Final Exam Review

http://jeopardylabs.com/play/gps-advanced-algebra-ii-final-exam-review

2. Unit 6: Data Analysis Review

http://jeopardylabs.com/play/advanced-algebra-data-analysis

3. Unit 4: Conic Section Review

http://jeopardylabs.com/play/gps-advanced-algebra-unit-5-conic-sections

4. Watch brightstorm videos.

Do you have any suggestions for your peers on how to get ready for the final exam?

What would you differently for this class?

What helped you to learn the most?

What do you think of the tasks, fieldtrips & lessons?

## GPS Algebra/Geometry EOCT

How do you feel about the End of Course Test?

What did you do to prepare for the test?

If you could do anything differently what would it be?

Are there any GPS Standards that you were not familiar with? If so, describe them.

What class activities were the most fun and effective? (activities, assignments, groupwork, tasks, etc)

Can you think of any fieldtrips or games that can help in the future?

Don’t forget to practice your reading skills on www.readingmate.com

## Lesson 6.3 Project Approximate Binomial Distributions & Test Hypotheses

**MM3D3.** Students will understand the differences between experimental and observational studies by posing questions and collecting, analyzing, and interpreting data.

Now that you have completed your project, explain what you noticed:

1. Describe 3 group presentations. What stood out about their survey, PowerPoint, or work. List positives & areas that need improvements.

2. From your research, did you find any teen statistics that surprised you?

3. How would you compare your data to other teens in Georgia? Are your numbers higher or lower? Did you accept or reject the claim?

4. Did you learn anything new that can help you in the future?