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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, (1998)                                         and Handouts given in class.

 

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.

Course Content: Detailed instructional units will be given at the beginning of each bimester, clearly indicating the material that                               will be covered in the respective quarter.

The outline that follows shows the topics that will be covered during the course.

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  student’s  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).

Materials Needed

        ·            Scientific Calculator.

        ·         Binder for the Math Portfolio

        ·         Graph paper (millimeter squares).

        ·         Pen, pencil, eraser, and ruler.

Teacher Expectations

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.

Final Comments

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, I’ll 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

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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: ____________________

Comments:_____________________________________________________________________________________

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    __________                    ____________________                         ____________________

                            Date                                Student Signature                                       Parent Signature

 

 

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