The International School of Panama
Algebra II and Trigonometry
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Mathematics, rightly viewed, posses not only truth, but supreme beauty --
a beauty cold and austere, like that of sculpture.
Bertrand Russell (1872-1970)
2003/04
Course Name:
Algebra II and Trigonometry
Instructor: Marta Ortiz De Zevallos MSc. MEd.
Level:
10th, 11th and 12th
Grade
Class Schedule:
Group 1
Days 1 and 3, period B, Room 8
Group 2
Days 1 and 3, period C, Room 8
Group 3
Days 2 and 4, period F, Room 8
Textbook:
Collins, W., et al, Algebra 2, Integration, Applications, Connections,
Glencoe, McGraw-Hill, USA,
General Goals: (1) To help the students explore the language of algebra, in verbal, graphical, tabular and symbolic form.
(2) To help the students develop the skills necessary for solving problems and modeling patterns and relationships with variables and functions.
Course
Description:
The Algebra II and Trigonometry course starts by Analyzing Equations and
Inequalities. Then the following topics will be explored: Graphs and Linear
Functions, Solving Systems of Equations and Inequalities, Polynomials and
Radical Equations and Quadratic Functions and Inequalities. The second part of
the course will start by the Trigonometric Functions and Graphs, to continue
with Polynomials Functions, Rational Expressions and Exponential and Logarithmic
Functions.
1.-
Analyzing Equations and Inequalities |
1.1 - Expression and Formulas |
1.2 - Properties of Real Numbers |
1.3 - Solving Equations |
1.4 - Solving Absolute Value Equations |
1.5 - Solving Inequalities |
1.6 - Solving Absolute Value Inequalities |
2.-
Graphing Linear Relations and Functions |
2.1 - Relations and Functions |
2.2 - Linear Equations |
2.3 - Slope |
2.4 - Writing Linear Equations |
2.5 - Special Functions
|
2.6 - Linear Inequalities |
3.-
Solving Systems of Linear Equations and Inequalities |
3.1 - Graphing Systems of Equations |
3.2 - Solving Systems of Equations Algebraically |
3.3 - Cramer's Rule |
3.4 - Graphing Systems of Inequalities |
3.5 - Linear Programming |
3.6 - Applications of Linear Programming |
3.7 - Solving Systems of Equations in Three Variables |
4.-
Exploring Polynomials and Radical Expressions |
4.1 - Monomials |
4.2 - Polynomials |
4.3 - Dividing Polynomials |
4.4 - Factoring |
4.5 - Roots and Real Numbers |
4.6 - Radical Expressions |
4.7 - Rational Exponents |
4.8 - Solving Radical Equations and Inequalities |
4.9 - Complex Numbers |
4.6 - Simplifying Expressions Containing Complex Numbers |
5.-
Exploring Quadratic Functions and Inequalities |
5.1 - Solving Quadratic Equations by Graphing |
5.2 - Solving Quadratic Equations by Factoring |
5.3 - Completing the Square |
5.4 - The Quadratic Formula and the Discriminant |
5.5 - Sum and Products of Roots |
5.6 - Analyzing Graphs and Quadratic Functions |
5.7 - Graphing and Solving Quadratic Inequalities |
6.-
Exploring Trigonometric Functions |
6.1 - Trigonometry |
6.2 - Angles and Their Measure |
6.3 -
Trigonometric Functions of General Angles |
6.4 - Law of Sines |
6.5 - Law of Cosines |
6.6 - Circular Functions |
6.7 - Inverse Trigonometric Functions |
7.-
Using Trigonometric Graphs and Identities |
7.1 - Graphing Trigonometric Functions |
7.2 - Trigonometric Identities |
7.3 - Verifying Trigonometric Identities |
7.4 - Sum and Difference of Angles Formulas |
7.5 - Double-Angle and Half-Angle Formulas |
7.6 - Solving Trigonometric Equations |
8.-
Exploring Polynomial Functions |
8.1 - Polynomial Functions |
8.2 - The Remainder and Factor Theorems |
8.3 - Graphing Polynomial Functions and Approximating Zeros |
8.4 - Roots and Zeros |
8.5 - Rational Zero Theorem |
8.6 - Using Quadratic Techniques to Solve Polynomial Equations |
8.7 - Composition of Functions |
8.8 - Inverse Functions and Relations |
9.-
Exploring Rational Expressions |
9.1 - Graphing Rational Functions |
9.2 - Direct, Inverse and Joint Variation |
9.3 - Multiplying and Dividing Rational Expressions |
9.4 - Adding and Subtracting Rational Expressions |
9.5 - Solving Rational Equations |
10.-
Exploring Exponential and Logarithmic Functions |
9.1 - Real Exponents and Exponential Functions |
9.2 - Logarithms and Logarithmic Functions |
9.3 - Properties of Logarithms |
9.4 - Common Logarithms |
9.5 - Natural Logarithms |
9.6 - Solving Exponential Equations |
Evaluation:
The grading system will be based on 100 points,
distributed as follows for each quarter:
30% Selected
& Daily Homework:
Several times during each quarter,
a specific homework assignment or part
of it will be collected and graded. This
will always be previously announced. The
Daily Homework will consist on all your Math
assignments (1 point if done, 1/2 point if
incomplete, no points if not done).
10% Performance:
Anything between 1 and 10 points
will be awarded at the end of each quarter to evaluate the
students progress in the course.
The way in which requirements are fulfilled, the ability
to demonstrate that some skills are being acquired, and the
efficiency with which tasks are accomplished will be
taken into account. Other aspects to be
considered will be participation, initiative, creativity,
originality, reasoning ability in approaching and thinking
through problems, and arriving at logical conclusions.
Cooperation in group activities and contribution to the
class in general, are also taken into account for this part of
the grade.
50% Tests and
Quizzes: Regular tests covering several
sections of a chapter, or in many cases a full chapter will
be given and scored on a percent basis. All tests will
always be previously announced. Quizzes and pop quizzes
will count between ½ to 1/3 of a test (depending on the
content). Be always prepared for pop quizzes.
5% Portfolio: The portfolio with
all the work will be evaluated each bimester and it must be complete and
well organized. It must contain all the session specified in the
document titled The Math Portfolio
5%
Project(s)
Note:
The semestral grade is 40% first quarter, 40% second quarter, and
20% semestral exam or project. The same applies to the second semester (with third and fourth
quarters).
·
Scientific Calculator.
·
Binder for the Math Portfolio
·
Graph paper (millimeter squares).
·
Pen, pencil, eraser, and ruler.
Students are
expected to follow strictly all ISP rules related to behavior
inside and outside the classroom, and during tests or exams.
All students must read and follow the rules outlined in The
International School of Panama Student Handbook. Common
sense is always expected.
Students are also
expected to pay attention during classes, be respectful with
teachers and classmates, participate actively and ask
relevant questions, take class notes, work cooperatively in
groups, and practice problems on a daily basis. They must hand in
their assignments and projects on time keeping all worksheets, tests, exams, and homework in the portfolio. Honesty is expected in all activities.
Any course that
you take may be as easy or as hard as you want to make it. It
all depends upon following the directions given by the
instructor, in using common sense, and in exercising your good
judgment. Effort is the key word for success. If
you have any doubts, talk to me. If you have a special problem in
which you think I can help you, or if you just need to talk to
somebody, Ill be glad to help you. During lunch and recess
and office hours you will probably find me in rooms 31,32,
or 33 or in the computer lab.
This document
must be kept in your portfolio.
_________________________________
Marta
de Ortiz de Zevallos
Math/Chemistry
Teacher
-----------------------------------------------------------------------------------------------------------------------------------------
Please read
and analyze this document at home. Comments are welcome.
Algebra II and Trigonometry, Mrs. Ortiz De Zevallos
Student's Name:_______________________________ Grade: / Block: ___________ E-mail: ___________________
Parent's Names:_______________________________ Telephone # : ___________ E-mail: ____________________
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