Advanced GeometryMrs. Kevgas

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Radnor High SchoolCourse Syllabus

Advanced Geometry0424

I. Course Description

This course is a concept-based approach to traditional Geometry. It is designed to reinforce and extend previous algebra skills while integrating new geometric concepts. Students in Advanced Geometry derive and use formulas for perimeter, circumference, area, surface area, and volume of many types of figures. The students will use the Pythagorean Theorem, congruence and similarity theorems, and appropriate definitions to describe relationships between geometric shapes and to analyze the properties of geometric figures. Some computer lab work may be performed during the year.

II. Materials & Equipment

Geometry ; McDougal & Littell, 2001 Graphing and/or scientific calculator Compass and straight edge

III. Course Goals & Objectives

To develop the ability to think mathematically. To enhance problem solving ability. To use technology appropriately. To develop an understanding of geometric properties and the nature of geometry through

deductive and inductive reasoning. To apply algebra and geometry to solve a variety of real-world mathematical problems.

IV. Course Topics (Summary Outline)

I. Basics of Geometry Points, Lines, and Planes

Segments and their measures Angles and their measures

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Segment bisectors and angle bisectors

Angle Pair Relationships Introduction to Perimeter, Area,

and Circumference Conditional Statements Definitions and Biconditional

Statements

II. Perpendicular and Parallel Lines Lines and Angles Parallel lines and transversals Proving lines are parallel Using properties of parallel lines Parallel lines in the coordinate

plane Perpendicular lines in the

coordinate plane

III. Congruent Triangles Triangles and Angles Congruence and Triangles Proving triangles are congruent:

SSS and SAS Proving triangles are congruent:

ASA and AAS Using congruent triangles Isosceles, equilateral, and right

triangle

IV. Properties of Triangles Perpendiculars and Bisectors Medians and Altitudes Midsegment Theorem Inequalities in one triangle

V. Polygons Polygons Angle measures in polygons Properties of parallelograms Proving quadrilaterals and

parallelograms Rhombuses, rectangles and

squares Trapezoids and kites

V. Polygons Special Quadrilaterals Areas of triangles and

quadrilaterals

VI. Similarity Ratio and proportion Similar polygons

Similar triangles Proving triangles are similar Proportions and similar triangles

VII. Right Triangles and Trigonometry Similar right triangles The Pythagorean Theorem The converse of the Pythagorean

Theorem Special right triangles Trigonometric Ratios Solving right triangles

VIII. Circles Tangents to circles Arcs and chords Inscribed Angles Other Angles Equations of circles Circumference and arc length

IX. Area of Polygons and Circles Areas of regular polygons Perimeters and areas of similar

figures Areas of circles and sectors Geometric Probability

X. Surface Area and Volume Exploring solids Surface area of prisms and

cylinders Surface area of pyramids and

cones Volumes of prisms and cylinders Volumes of pyramids and cones Surface area and volume of

spheres Similar solids

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V. Assignments & Grading

Students will get an assignment sheet for each chapter we cover in class that shows the homework that accompanies each section. Therefore, students will know in advance their assignments in case of any absences. Homework will be given every night and will be checked and/or collected periodically. We will always spend time going over it each day in class. Students are expected to try every problem. If a student does not know how to solve a problem, they are expected to copy the problem and write something in an attempt to solve it. Part of the students’ homework assignments is to check odd numbered problems from the text with the answers in the back before coming to class. Assignments are given to benefit students and to reinforce what we learn in class. You have one week to turn in any assignment. Twenty percent will be deducted from a late assignment no matter what day the assignment is turned in during the one week grace period. After a week, if the assignment is not turned in you will receive a zero. Illnesses warrant special exceptions. Fourth quarter no work will be accepted beyond the due date. The Radnor High School grading system and scale will be used to determine letter grades.

Quarter Grade = total points earned total possible points

Each quarter: 20% of final grade Midterm: 10 % of final grade

Final: 10% of final grade

Grading Scale Final Grade CalculationA+ 100 – 98.5 First Quarter: 20%A 92.5 – 98.4 Second Quarter:20%A- 89.5 – 92.4 Mid-Year Exam: 10%B+ 86.5 – 89.4 Third Quarter: 20%B 82.5 – 86.4 Fourth Quarter: 20%B- 82.4 – 79.5 Final Exam: 10%C+ 76.5 – 79.4C 76.4 – 72.5C- 69.5 – 72.4 Rounding ExampleD+ 69.4 – 66.5 79.5% B-D 62.5 – 66.4 79.4% C+D- 59.5 – 62.4F 0 – 59.4

Notebooks:

Your notebook is to contain three sections: class notes, homework, quizzes and tests. If your notebook is kept in order, it will be an excellent study guide.

Quizzes/Tests:

Some quizzes will be announced; some will be unannounced. Additionally, there will be a major test at the end of each unit. ALL major tests will be announced in advance.

Materials:

Every student will need three ring binder, loose-leaf paper, a scientific calculator, pencils, a straight edge and a geometer. On and off throughout the year the class will be using ¼” graph paper. Graphing calculators are not permitted for this course!

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Website:

Radnor Township School District has a website on http://www.rtsd.org. The direct link for my classes is http://www.rtsd.org//Domain/306. The purpose of the website is to inform you and your parents of what happens in class. You can access homework assignments, daily lesson plans and any other pertinent information for the course. It is highly recommended your parents and you to use the website for any questions about the material missed when a student is absent. Otherwise, please feel free to email me or call me with any concerns by e-mail, panayota.kevgas@rtsd.org.

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Mrs. Kevgas’ Classroom Expectations

1. The number one expectation is to respect yourself, each other and your teacher AT ALL TIMES. You should always treat others the way you expect to them to treat you.

2. Students should be prepared for class everyday which includes bringing your binder with loose-leaf paper, pen/pencil, textbook and any assignments. Students will not be excused from class to go to their lockers one class begins!!

3. Be in class on time. When the bell rings you should be in your seat with your materials on your desk and ready to begin.

4. All students are responsible for their own actions and will be held accountable for their behavior. Any inappropriate behavior, language, or actions will result in a phone call home, and/or referral to the Dean of Students.

5. Please do not call out; raise your hand to answer or ask a question.

6. Good attendance is a critical factor to ensure success in this course. Therefore, if a student is absent, he/she is responsible for getting any work missed and any notes in class as soon as possible. All assignments are listed on Mrs. Kevgas’ web page, http://www.rtsd.org//Domain/306. Please mark this web page as a favorite on your internet browser. Students are responsible to make arrangements for make-up tests or quizzes. If a student knows that they are going to be absent, please let me know as soon as possible so I can get you the materials you will need.

7. I am available for you whenever you need my help. I am either in my classroom, or in my office Rm. 234. Please also feel free to e-mail me, panayota.kevgas@rtsd.org.

8. HAVE FUN!!!

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Name: _______________________ Subject: ______________ Period #: _____

Date Activity Points Earned

Possible Points

Total Earned

Total Points Poss.

Average(T.E./T.P.)

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Homework Assignment Format

1. Start each numbered assignment on a new sheet of loose leaf paper. If an assignment is assigned “in parts” you should do the entire assignment together, as it will be collected as one assignment. If a homework goes onto the next sheet of paper, just note “HW #__ continued” and your name at the top of the new page.

2. Write your name and date in the upper right hand corner of your paper.

3. LABEL: HW #10 Section 8.5: p. 232 #1-4, 9-25 odd, 28, 32 Section 8.6: p. 820 #3-18, 26-43

4. Show your work and your answer. Box or circle all final answers.

5. THERE ARE EXCEPTIONS. If it is a long yes/no, true/false, or multiple choice question that needs no work, you do not have to copy the problem.

6. If you don’t know how to solve a problem, copy the problem, and leave space to get help from your group members or me in class. If you still do not understand the problem, then you should have (at the very least) copied the problem into your notebook with a note about what you did not understand. If that is the case, please come and see me after class or seek help at the math center.

7. NO WORK…NO CREDIT!!! Play it safe, and show your work to earn the maximum number of homework points. They add up.

8. You are not finished with your homework until you have checked all of the available answers, circled the numbers of the problems which you do not have correct, checked these problems to determine what you may have done wrong, and marked the ones you need to go over in class with your group.

9. Keep your assignments in numerical order in your notebook so that they are readily available for collection at any time. Homework checks will not be announced.

10. If several assignments are collected at the same time, put the assignments in numerical order, smallest number first and then staple the assignments together before turning them in.

SEE SAMPLE HOMEWORK PROVIDED AS A GUIDELINE

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Student Fact Sheet

Name: _________________________ Homeroom: ___________Class: _____________________Period #: _____________________

Home Address:____________________________________________________________________

Parents’ Names: ___________________________

Telephone Numbers: (H)____________________________(D-M)__________________________(D-D)__________________________

Last Math Class: ___________________________ Teacher: ____________________

New to Radnor: Yes No

Teacher Use Only

Date Contact Message

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