**Course Syllabus and Guidelines for Algebra II – Mr. Beretsky – Room B-230**

**Course Description and Expectations**

Algebra II is a continuation of Algebra I, which is also a Pre-requisite. The Algebra II course reflects the belief that the Belchertown High School educational community fosters academic excellence and responsible citizenship in a positive, safe and respectful environment in order to develop productive contributors to society.

Algebra II students are expected to:

- Read mathematical problems actively and critically.
- Write effective solutions to problems and projects
- Present solutions to problems effectively
- Use a variety of appropriate resources including the computer and calculator to solve mathematical problems
- Employ multiple critical and creative thinking strategies in reasoning and problem solving
- Demonstrate a knowledge and appreciation of how mathematics can be used outside the mathematics classroom
- And meet all of the course objectives listed below

Topics Include:

- Real Numbers and Algebraic Expressions
- Equations, Inequalities and Problem Solving
- Graphs and Functions
- Rational Expressions
- Rational Exponents, Radicals and Complex Numbers
- Quadratic Equations and Functions
- Probability and Statistics
- Function Operations
- Exponential and Logarithmic Functions

- Systems of Equations
- Exponents, Polynomial and Polynomial Functions

- Analytical Geometry
- Sequences and Series

This is a full year course (5 – graduation credits)

**Course Objectives**

**The student will be able to:**

- Identify, state the properties and perform arithmetic operations on real numbers in any format
- Solve systems of linear equations and in two or three variables using algebraic and matrix methods
- Describe and use the properties of exponents to simplify polynomial expressions
- Simplify, multiply, divide, add and subtract rational expressions
- Solve rational equations and real world applications that are modeled by rational equations
- Use the remainder theorem to factor and evaluate polynomials
- Describe and use the properties of rational exponents to simplify radical functions and expressions
- Solve radical equations and real world problems modeled by radical equations
- Identify, add, subtract, multiply and divide complex numbers
- Solve quadratic equations and real world applications modeled by quadratic functions
- Solve quadratic and rational inequalities
- Graph and analyze the graphs of quadratic equations
- Use combinations and permutations to solve problems
- Use the binomial theorem to expand (x+y)
^{n} - Find probability of various single, compound, dependent and independent events
- Perform algebraic, composition and inverse operations on functions
- Describe the characteristics of exponential functions and show how are they useful in solving real-world problems
- Describe characteristics of logarithmic functions and show how are they useful in solving real-world problems
- Solve systems of non-linear equations
- Demonstrate the ability to identify and evaluate arithmetic and geometric sequences and series

- Identify, evaluate, perform arithmetic operations and create algebraic expressions
- Find solutions of linear equations
- Find solution of simple and compound linear inequalities
- Translate real world applications into equations or inequalities and solve them
- Understand the properties of functions and demonstrate how relations and functions can be represented numerically, graphically, algebraically, and/or verbally
- Find the equations of linear functions and use those equations to solve real world applications

- Solve real world applications which use systems of linear equations in two or three variables using algebraic and matrix methods

- Add, subtract and multiply polynomials and polynomial functions
- Factor polynomials and use this method to solve polynomials

- Find the distance and midpoint between points in the coordinate plane

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**Textbook**

Intermediate Algebra – K. Elayn Martin-Gay -Brooks Pearson – Prentice Hall– 4^{th} edition –2005

Algebra 2 -Larson, Boswell, Kanold, and Stiff – Published by McDougal Littell Inc. – 2004 (Chapter 12)

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**Internet Access**

I have a homepage on the Internet. http://webpages.charter.net/beretsky

This page will contain a course specific section on which I hope to put all homework assignments, problems of the week, projects, a copy of the course syllabus and links that will be helpful and interesting to you. Be sure to visit this page regularly.

Email can be sent to me at beretsky@charter.net.

**You are expected to bring the following materials to class every day:**

Notebook (discussed in detail below)

– **A binder with sections is recommended**

– Lined paper

– Graph paper

Ruler – scaled in centimeters

Pencils and erasers

Textbook – ** covered** at all times

**A Graphing** **Calculator **such as the TI-83+ or TI-84+ is strongly recommended. A **Scientific Calculator **may be used.

**General Classroom Behavior**

- You are expected to respect and value yourself, your school environment and the diversity of the BHS community.
- You are expected to contribute to classes and work cooperatively whenever the situation requires.
- You are expected to come to class prepared and you are responsible for all missing work
- Bullying of any kind is not permitted in this classroom
- You are expected to use pencil and show work for all mathematics on homework, class work, projects, tests and quizzes
- You are to be in your assigned seat when the bell rings. Otherwise you are late which may result in a detention.
- You are expected not to talk while I am speaking or interrupt while other people are speaking.
- There will be no getting out of your seat or speaking without permission. If you want to speak or get of your seat during class, raise your hand and wait to be recognized.
- There will be no leaving the room except for emergencies, which should not occur often.
- If you need to leave the room, just take the pass and leave as quietly as possible.
- Books should be covered at all times. If you lose your book, report it to me immediately.
- The bell does not dismiss the class.
- No eating or drinking in the classroom.
- The Pass is to be used only in an emergency

**Quarter Grading Policy**

Your grade consists of tests, quizzes, homework, class work, journal writing and projects which are assigned a point value. Quarter grades will be calculated by dividing the total number of points that you have earned by the maximum number of points that you could have earned and calculating a percent. For example if you earned 600 points out of a possible 800 points, then you get 600/800 = 75%.

**Tests will account for about 30% of your grade, Quizzes for 30%, Homework for 20% and all other work (Notebook, Projects, Classwork, etc. ) 20%**

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**Year Grading Policy**

Quarter 1 – 20% **A** 90 -100

Quarter 2 – 20% **B** 80-89

Quarter 3 – 20% **C** 70-79

Quarter 4 – 20% **D** 65-69

Final Exam – 10% **F ** 0-64

Midyear Exam -10%

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**Notebook**

You are advised to keep a well-organized notebook with two sections:

Section 1 – Class Notes

Section 2 – Homework/Class work/Projects

All materials should be neat and dated and each section of your notebook should be in chronological order.

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**Quizzes and Tests**

Quizzes – Generally, short (20-30 minutes) / 6-8 per quarter / Covers selected sections. (50 points). Tests – Full Period – 3 or 4 per quarter / Covers a chapter. (100 points).

**Intermediate work, if needed, must always be shown to get full credit, even if you use a calculator**. **I generally give partial credit on tests and quizzes for correct work even if the final answer is incorrect**. **You must use pencil to get full credit**.

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**Homework**

Homework is very important when learning mathematics. Homework assignments (posted on my homepage) will be given daily and will often be graded. Grades will range from 5 to 0. 5 indicates that you attempted all problems (work shown) and got most of them correct. 0 indicates you did not do your assignment, missed an assignment and did make it up, or made very little attempt. Homework may be turned in **one** day late at reduced credit. At any time during the year that you score 84% or above on a test or quiz you earn a homework-pass, which gives you full credit for one homework assignment. This pass is only valid until the next quiz or test.** You must use pencil to get full credit. Repeated failure to complete homework on time may result in a detention. **

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**Projects**

Throughout the semester there will be projects and research papers, many of which will require a computer. (There are computers in the classroom and the library, which are available during study periods and before and after school, if one is not available at home.) These projects will require class work and home work and will be assigned a numerical value from 25 to 150 points. Projects will be posted on my Internet homepage. **Projects should be typed and all mathematics must be done in pencil.**

** ****Midyear Exam**

At the end of the second term, you will be given a midyear exam. This exam will consist of all the material from the beginning of the year to that point. This will count for 10% of your final grade. **So, this is an important test!!**

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**Problems of the Week – Extra Credit**

Any time, that your grade on a quiz or test is below a 75%, you may do a problem of the week to earn up to 5 extra credit points. **This is the only opportunity that you get to get extra credit!** You can access the problem of the week and a blank answer sheet via my Internet homepage. Extra Credit problems of the week will be due anytime before the next quiz or test. You will be required to write up a solution or indicate why you could not solve the problem. (Your solution will be graded from 0 – 5 points extra credit points –** to be eligible for extra credit you work must be on time and contain a complete write up done in pencil**)

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**Make-up Work**

If you miss a test, a quiz, project or a significant class work assignment (or a homework assignment (posted on my homepage) for any reason, you are expected to make it up. Generally, you will be given up to one week from the day you return to make up that assignment. For example, if you are out of school on Monday and return on Tuesday, you have until the following Tuesday to make up your work. **Incomplete work, for any reason, will count as a 0.** Quizzes and tests may be made up, before school, after school or during study periods.

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**Extra Help**

If you are having trouble with any material, you are expected to seek extra help from me. I will be available after school in room B-230 from Monday to Thursday and before school by appointment on any school day. I may also be available during your study period.