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BZ: douglas@damien-hs.edu Mr. Douglas
HONORS ALGEBRA II
Your grade will be determined on three factors: Test, Quizzes and Homework (100%)
Notebook: While a notebook is not required, I highly recommend that you keep a separate one for this class only.
Homework: There will be a homework assignment after each section in the text. Sometimes an individual section will be divided up into two or three days depending on its difficulty. On those occasions, the problems from that section will also be divided among several days. Each assignment will be collected and graded. Homework will be worth approximately 100 points each quarter. Each homework will be 4 points if turned in on time and complete. A late assignment will receive 2 points. At the end of the quarter, any assignments not turned in will receive a 0.
Tests and Quizzes: There will be a quiz approximately every three or four sections. A test will follow each chapter. The tests will be worth 100 points and the quizzes will be between 30-60 points. A mid semester final and a semester final will be given worth approximately 150 points.
Scale:
90-100% A
80-89% B
65-79% C
55-64% D
Below 54% F
The scale is adjusted to account for the difficulty of the course. Do not come to me at the end of the semester expecting a break or a boost to your grade.
Note: This is a difficult class. I am available for extra help but you must approach me and set up a time. On the same concept, I will not hold your hand regarding homework. If you miss a day or are late on an assignment, it is up to you to see me regarding what you missed. I encourage you to ask questions and seek extra help, I find the more involved you are the better you will do.
Technology: The graphing calculator (I will use a TI-89 and be showing you how to use that calculator) offers a variety of tools for solving equations, graphing systems, and generally making your life easier. Technology is an integral part of this class. However, technology will not think for you. You must be able to effectively use technology to analyze and interpret problems.
Classroom Conduct: You are expected to conduct yourself in a respectful and responsible manner during class. There are too many specifics to list, but at this point you should know what is considered proper classroom behavior. Follow all school rules.
Edlio: All notes will be saved and uploaded to an edlio class. You are required to enroll in the class. These notes will be available each day. If you are absent you should be able to go on line and gets the notes from the day you missed.
EXPECTATIONS
Honesty: I expect you to be honest when dealing with me. If I ask you a question, then you should provide a completely honest response. In some cases, this can be uncomfortable for you. For example, if you arrive late to class, I am going to ask you why you are late. There is a temptation to give a polite, selectively accurate explanation. This is the wrong thing to do. Everyone makes mistakes. Sometimes those mistakes lead to consequences, but I assure you I will do my best to treat you fairly if you are honest.
Homework: The goal of homework is for YOU to master the course content. As a result, I expect you to attempt the assignment on your own following these guidelines:
Before you start working, get out your notes and book. Consult the class notes when necessary to ensure you are following the proper guidelines in writing the solution.
Check odd numbered problems in the back of the book after you have completed it.
If you miss a problem or get stuck, refer to your class notes and then your textbook. Look for a similar type of problem that you can use as a guide.
Do not leave a question blank. At the very least, write an explanation of what you do understand about the problem and why you are stuck.
All homework should be done in pencil. When we discuss the homework in class, all corrections should be made in pen. That way we both can see what you need to work on and what you have already mastered.
You may only consult with another student AFTER you have attempted the work on your own. If you do receive assistance it should be clearly written on each students paper. You will learn a lot more by working alone, even if you struggle.
Quizzes, Tests, and Finals: You may not receive aid from any other human source, or from any written source. Storage of text, data, and equations in your calculator will be considered cheating. Instances of cheating will be handled in accordance with the student handbook.
In all that you do in this class (as well as in life), keep in mind one thing: It takes one instance to break someones trust, and a hundred to rebuild it.
Brief Course Description: A rigorous treatment of intermediate algebra and trigonometric topics which include equations and inequalities, functions and graphs, polynomial and rational functions, exponential and logarithmic functions, systems of equations, and trigonometric functions and their applications.
Course Outcomes:
I Know the basic concepts from Algebra 2.
A The application of exponent and radical rules.
B The simplification of exponential expressions.
1 Factoring by trial and error
2 Factoring using special cases: difference of two squares, perfect trinomials, and the sum and difference of cubes.
3 Factoring by grouping.
C Rational expressions.
1 Recognizing the limitations on the domain of rational expressions.
2 Multiplication and division of rational expressions.
3 Addition and Subtraction of rational expressions.
4 Simplification of compound fractions.
5 Rationalizing a complex denominator.
D Solving of equations.
1 Solving of equations using the graphing method, completing the square, and the quadratic equation.
2 Solving fractional expressions.
3 Solving equations with fractional powers
4 Solving absolute value equations.
E Solving and Graphing of Inequalities
Quadratic inequalities
2 Compound inequalities
3 Absolute value inequalities
II Know the application and manipulation of functions.
A Definition of a function
B Graphs of functions.
1 Power functions.
2 Piecewise functions.
C Transformations of functions.
1 Even/Odd functions
2 Horizontal and vertical shifts.
3 Vertical and horizontal stretching and compression.
D Quadratic functions.
1 Maximums and minimums.
2 Standard form.
3 Local maxima and minima.
E Combining functions.
1 Addition, subtraction, multiplication, and division
Composite functions.
3 Domain of composite functions.
III Understand the many applications of rational functions.
A The graphs of polynomial functions.
1 End behavior of a polynomial.
2 Intermediate value theorem.
3 Finding zeros and graphing of rational functions.
B Dividing polynomials.
1 Polynomial long division.
2 Synthetic division.
C Rational zeros of a polynomial.
D Complex zeros.
1 Definition of i.
2 Addition, subtraction, multiplication, and division.
E Complex zeros.
1 Multiplicities of zeros
2 Complex factorization.
F Rational functions.
1 Vertical and horizontal asymptotes.
2 Intercepts.
Graphing.
IV Understand how to graph and solve exponential and logarithmic equations.
A Inverse functions.
Definition of one to one functions.
2 Computation of inverse functions.
B Exponential functions.
1 Definition and graphing.
2 Natural exponential function.
3 Interest equations.
C Logarithmic functions.
1 Definition.
2 Graphing
3 Common logarithm and natural logarithm.
D Laws of logarithms.
1 Combining logarithmic expressions.
2 Expanding logarithmic expressions.
3 Change of base formula.
F Exponential and logarithmic equations.
V. Be familiar with all the applications, including graphing and problem solving associated with the unit circle.
A. The unit circle.
1 The relationship between degrees and radians and the ability to change radians to degrees and degrees to radians.
B Trigonometric functions of real numbers.
1 Even/odd properties.
2 Reciprocal identities.
3 Pythagorean identities.
C The graphing of sine, cosine, tangent, cosecant, secant, and cotangent.
1 Transformations of trigonometric functions.
D Right triangle trigonometry
1 Law of sines.
2 Law of cosines.
3 Heron's formula for triangle area.
E Trigonometric Identities.
1 Addition and subtraction formulas.
2 Double-angle, half-angle, and product to sum formulas.
F Inverse trigonometric functions.
1 Arcsine, arccosine, and arctangent.
G Trigonometric equations.
VI Be familiar with polar coordinates and vectors.
A Polar coordinates.
1 Definition of polar coordinates.
2 Converting polar coordinates to rectangular coordinates and rectangular coordinates to polar coordinates.
3 The relationship between polar equations and rectangular equations.
B Sketching polar equations.
C Vectors
1 Component form of vectors.
2 Operations on vectors.
3 Magnitude of vectors.
VII Know systems of equations including 2 by 2 and 3 by 3 matrices.
A Systems of equations.
1 Graphing method.
2 Substitution method.
3 Elimination method and elimination method with addition and subtraction.
B Two variable, two equation systems.
C Three variable, three equation systems.
D Matrices
1 Solving matrices using elimination method.
E Algebra of matrices.
1 Addition, subtraction, and scalar multiplication of matrices.
2 Matrix multiplication.
F Inverse matrices.
Objectives: By the end of the year students should be able to:
I Know the basic concepts from Algebra 2.
II. Understand the many applications of rational functions.
III Know the application and manipulation of functions.
VI Understand how graph and solve exponential and logarithmic equations.
V Be familiar with all the applications, including graphing and problem solving associated with the unit circle.
VI Be familiar with polar coordinates and vectors.
VII Know systems of equations including 2 by 2 and 3 by 3 matrices.
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