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The International School of Panama
Geometry

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Not everything that can be counted counts,and not everything that counts can be counted.
Albert Einstein (1879-1955) , sign hanging in Einstein's office at Princeton

2003/04

Course Name: Geometry

Instructor: Marta Ortiz De Zevallos MSc. MEd.

Level: 9th, 10th, 11th and 12th Grade

Class Schedule: Days 1 and 3, period A, Room 8

Textbook : Boyd, C.J. et.al., Geometry, Integration, Applications, Connections, Glencoe, McGraw-Hill, USA, (1998)                                         and Handouts given in class.

 

General Goals:  (1) To help the students to understand the use of geometry and its applications in daily activities.                             (2) To help the students to develop the skills necessary for solving  related  application problems.                              (3) To help the students  think inductively and deductively and develop reasoning skills.

Course Description:     Geometry is one of the best tools used to develop the students’ ability to observe, think , and reason. The course develops gradually from the basic concepts of geometry,  passing through construction of geometric figures using instruments, measuring and constructing solids to advanced terminology as transformation of figures and isometry. Points, Lines, Planes, Angles, Triangles, Quadrilaterals, Polygons, Circles, Proof, Perpendicular and Parallel Lines, Congruent Figures, Area, Surface Area, and Volume will be discussed and applied during this course with their connections with algebra and trigonometry.

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.- Points, Lines, Planes, and Angles.
     1.1 – The Coordinate Plane
     1.2 –  Point, Lines, and Planes
     1.3 – Using Formulas
     1.4 - Measuring
     1.5 - Midpoints and Segment Congruence
     1.6 - Angles
     1.7 - Angle Relationships
2.- Reasoning and Proof
     2.1 – Inductive Reasoning and Conjecturing
     2.2 – Statements and Postulates
     2.3 – Deductive Reasoning.
     2.4 – Proof in algebra
     2.5 - Segment Relationships
     2.6 – Angle Relationships
3.- Perpendicular and Parallel Lines
     3.1 – Parallel and Transversal Lines
     3.2 – Angles and Parallel Lines
     3.3 – Slopes and Lines
     3.4 – Proving Parallel Lines
     3.5 – Parallels and Distance
     3.6 – Spherical Geometry
4.- Congruent Triangles
     4.1 - Triangles
     4.2 – Angles and Triangles
     4.3 – Congruent Triangles
     4.4 – Isosceles Triangles
5.- Applying Congruent Triangles
     5.1 – Special Segments
     5.2 – Right Triangles
     5.3 – Indirect Proof and Inequalities
     5.4 – Inequalities for Sides and Angles
     5.5 – The Triangle Inequality
     5.6 – Inequalities Involving Two Triangles
6.- Quadrilaterals
     6.1 - Parallelograms
     6.2 – Tests for Parallelograms
     6.3 – Rectangles
     6.4 – Squares and Rhombi
     6.5 – Trapezoids
7.- Proportion and Similarity
     7.1 – Proportions
     7.2 – Polygons
     7.3 – Similar Triangles
     7.4 – Fractals and Self-Similarity
8.- Right Triangles and Trigonometry
     8.1 – The Pythagorean Theorem
     8.2 – Special Right Triangles
     8.3 – Trigonometry
9.- Circles
     9.1 – Circles
     9.2 – Angles and Arcs
     9.3 – Arcs and Cords
     9.4 – Inscribed Angles
     9.5 - Tangents
     9.6 – Measures
     9.7 – Special Segments
10.- Polygons and Area
     10.1 - Polygons
     10.2 - Tessellations
     10.3 - Area
     10.4 – Geometric Probability
11.- Surface Area and Volume
     11.1 – Three-Dimensional Figures
     11.2 – Nets and Surface Area
     11.3 – Volume
     11.4 – Congruence

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.

·         Geometry set with ruler, protractor, compass, and triangles.

·         Binder for the Geometry Portfolio.

·         Graph paper.

·         Scissors, pen, pencil and eraser.

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.

Geometry, 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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