Course Syllabus

Created and Facilitated by: Lynn Ross

Delivered Online through FLSuccess.net     2016 – 2017

 

Instructor Contact and Communication

Instructor: Lynn Ross, lross@onlinegeometry.com

Office Hours (Available for online chat/questions):

            M/W     9 a.m. – 11 a.m. and 6:00 p.m. – 8:00 p.m.

            T/Th     1:00 p.m. – 3:00 p.m. and 9:00 p.m. – 10:00 p.m.

            F          10:00 a.m. – 12:00 p.m.

**All times posted above are Eastern Standard Time. 

To learn more about me, see my online bio in the “About Me” section of the course.

Please contact me using the email address above or use the instant messaging tool in the course during my posted office hours or any time you see me logged on. You may also ask questions in the Discussion Forum section of the course (see the “Ask the Teacher” discussion thread).

If you e-mail me or post a question of the “Ask the Teacher” discussion thread, I will respond to you within 24 hours, Sunday through Thursday, and 48 hours Friday through Saturday. (For example, if you email me on Monday, you can expect a reply within 24 hours. If you email me on Friday, you can expect a reply within 48 hours.)

Technical Support is available 24/7 by contacting techhelp247@onlinegeomtry.com or by calling 1-888-111-2222. 

Course Description

This online course is a high school level Geometry course, with options for both basic and honors level work, for students in grades 9 – 12. Students in grades 7 and 8 may take this course after successful completion of Algebra 1. (Note: Students taking this course for high school credit should contact their local school district for reporting and end-of-course requirements. Please notify the instructor of your desire to earn local high school credit and your desire to earn honors credit.)

Note: The pre-requisite for this course is Algebra 1 or Algebra 1 Honors.

This course focuses on exploring complex geometric relationships to deepen student understanding of these relationships to prove geometric theorems and postulates, as well as apply these relationships to solve real-world problems. The course is divided into five modules:

Unit 1:            Expressing Geometry Properties with Equations

Unit 2:            Congruence

Unit 3:            Similarity, Right Triangles, and Trigonometry

Unit 4:            Geometric Measurement and Dimension

Unit 5:            Circles

Each unit is further broken down into two to three modules, which you will find listed in the course Schedule. 

 

Your Online Course – Procedures and Protocols

Each class week begins on Monday and ends on Sunday (at 11:59 p.m.).

The Announcements area of the course will be updated each week on Sunday evening for the following class week. Students should read the announcement no later than Monday evening in order to properly plan for the week. Please plan to login on Sunday evening or Monday afternoon each week to read the announcement. Plan your work week around that week’s schedule.

The Course Materials area is arranged by folder for each chapter. By clicking on the chapter folder, you will the list of lessons with accompanying assignments, activities, and assessments and their due dates

The Discussion area contains the “Ask the Teacher” discussion thread where you may ask questions at any time. Feel free to review this thread periodically to read other student questions and teacher answers. There is also a “Peer-to-Peer Help” discussion thread where you may ask questions of your classmates and answer questions posted by other students. The Discussion area is where you will participate in the class through periodic discussion posting and replies. Discussion posting and replies, when assigned, are due by the end of the class week (Sunday at 11:59 p.m.).

The Assignments area is where you will submit collected homework and projects. Be sure to follow directions for submitting homework and individual and group projects. The Assignments area is also where you will access your quizzes and tests. Quizzes are untimed; however, tests are timed. Both, quizzes and tests, must be completed by the stated due dates/times. Keep in mind, for all assignments and assessments, the day and time stamp in the course uses Eastern Standard Time.

 

Introduction

The two-semester, yearlong course provides a thorough exploration of high-school level and college preparatory formal geometry, to include proofs. Each semester consists of 18 class weeks with student holidays incorporated to follow that of public schools.

 

Course Objectives

• Students will find the lengths and midpoints of line segments in two-dimensional coordinate systems.
• Students will identify and describe convex, concave, regular, and irregular polygons.
• Students will perform basic constructions using a compass and straightedge.
• Students will find the converse, inverse, and contrapositive of a conditional statement.
• Students will determine whether two propositions are logically equivalent.
• Students will distinguish between undefined terms, definitions, postulates, and theorems.
• Students will identify and use the relationships between special pairs of angles, formed by parallel lines and transversals.
• Students will determine the measures of interior and exterior angles of polygons.
• Students will write geometric proofs in various forms (two-column, paragraph, and flow).
• Students will use properties of congruent and similar polygons to solve mathematical and real-world problems.
• Students will classify, construct, and describe triangles that are right, acute, obtuse, scalene, isosceles, equilateral, and equiangular.
• Students will use properties of congruent and similar triangles to solve problems involving lengths and areas.
• Students will prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles.
• Students will use methods of direct and indirect proof.
• Students will define, identify, and construct altitudes, medians, angle bisectors, perpendicular bisectors, orthocenters, incenters, circumcenters, and centroids.
• Students will apply theorems involving segments divided proportionally.
• Students will apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.
• Students will describe, classify, and compare relationships among quadrilaterals, including squares, rectangles, rhombii, parallelograms, trapezoids, and kites.
• Students will compare and contrast special quadrilaterals on the bases of their properties.
• Students will use coordinate geometry to prove properties of congruent, regular, and similar quadrilaterals.
• Students will prove theorems involving quadrilaterals.
• Students will use coordinate geometry to prove properties of congruent, regular, and similar triangles.
• Students will use properties of congruent and similar polygons to solve mathematical and real-world problems.
• Students will apply theorems involving segments divided proportionally.
• Students will state and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle.
• Students will prove and apply the Pythagorean Theorem and its converse.
• Students will use special right triangle (30-60-90 and 45-45-90) to solve problems.
• Students will solve real-world problems involving right triangles.
• Students will define and use the trigonometric ratios (sine, cosine, tangent, cotangent, secant, and cosecant) in terms of angles of right triangles.
• Students will apply transformations (translations, reflections, rotations, dilations, and scale factors) to polygons to determine congruence, similarity, and symmetry.
• Students will know that images formed by translations, reflections, and rotations are congruent to the original shape.
• Students will create and verify tessellations of the plane using polygons.
• Students will use coordinate geometry to prove properties of congruent, regular, and similar polygons, and to perform transformations in the plane.
• Students will explain the derivation and apply formulas for perimeter and area of polygons.
• Students will determine how changes in dimensions affect the perimeter and area of common geometric figures.
• Students will define and identify: circumference, radius, diameter, arc, arc length, chord, secant, tangent, and concentric circles.
• Students will determine and use measures of arcs and related angles (central, inscribed, intersections of secants and tangents).
• Students will solve real-world problems using measures of circumference, arc length, and areas of circles and sectors.
• Students will describe the relationships between the faces, edges, and vertices of polygons.
• Students will identify, sketch, and find areas and/or perimeters of cross sections of solid objects.
• Students will explain and use formulas for lateral area, surface area, and volume of solids.
• Students will identify and use properties of congruent and similar solids.
• Students will determine how changes in dimensions affect the surface area and volume of common geometric solids.
• Students will determine the center of a given circle.
• Students will, given three points not on a line, construct the circle that passes through them.
• Students will construct tangents to circles.
• Students will circumscribe and inscribe circles about and within triangles and regular polygons.
• Students will prove theorems related to circles, including related angles, chords, tangents, and secants.
• Students will, given the center and the radius, find the equation of a circle in the coordinate plane.
• Students will, given the equation of a circle in the coordinate plane, find the center and radius.
• Students will, given the equation of a circle or given the center and the radius of a circle, sketch the graph of the circle.

 

Course Textbook and Materials

Primary Textbook: Prentice Hall Geometry, Honors Gold Series, Published by Pearson Education, Inc., 2011 edition, ISBN: 978-0-13-372321-2. See the link to Buy Textbook in the course, if you have not already obtained your book. You may also check sites such as Amazon and Half.com by eBay to purchased used copies or sites such as Barnes and Noble and other textbook rental sites to rent a copy. Please check you local school district or school for permission to check out a book for use during this course.

Geometry Glossary: A PDF version of this resource, which contains geometry terms, theorems and postulates, diagrams, and formulas, may be downloaded from the Resources section of the course. It is recommended that you download, print, and place a copy in a notebook.

I recommend you take notes while you read and watch the video tutorials. I also recommend that you complete all homework assignments, check your answers, and make corrections. Many students find it useful then to keep a 3-ring binder/notebook for this course that contains notes, homework, and the Geometry Glossary and Handbook.

Additional resources are included in the online course and can be found in the Resources section.

 

Instructional Methodology:

This course will be taught through a combination of online and offline activities. Most course content will be online; however, the required textbook should be used to supplement the online content and for the recommended homework practice. The course will include interaction among students and the instructor through discussion posting and extension activities (honors option). Students will have the opportunity to view recorded lectures, as well as participate in live online help sessions. Through this mixed methods (online and offline, independent and participatory learning), students will experience a variety of learning styles to keep students engaged.

 

Grading Information

The overall course grade is based on the weighted average of four categories: Homework, Participation, Projects, and Assessments, as follows: 

Homework (1)	25%	(Each graded homework assignment is worth 10 points.)
Participation (2)	15%	(Each participation activity is worth 10 points.)
Projects	10%	(Point values of individual and group projects will vary.)
Assessments	50%	(Module Quizzes are worth 20 points and Unit Tests are worth 100 points.)

(1) Homework is graded on completion and, where necessary, work should be shown. Note: There will be recommended homework assignments, which are not graded but are assigned to give student the practice necessary to learn the new concepts. 

(2) Students will participate in discussion topics. This participation involves responding to an initial discussion question or prompt followed by a thoughtful response to at least two classmates.

Late Work: Late work will not receive full credit and the deduction for late work is outlined on the rubric for each assignment/assessment.

Rubrics: All assignments, with the exceptions of tests and quizzes, will have an associated rubric that students may follow to insure they are fulfilling the requirements of the assignment, while achieving at the highest level possible.

Grading Scale:

A	90 - 100%
B	80 - 89%
C	70 - 79%
D	60 - 69%
F	0 - 59%

Revised 05/24/2016