Plane Geometry

Plane Geometry Syllabus


  • Course Code: Math 103

    Transcript:

    Yes. Your transcript will come from the records office at United States University. They are regionally accredited and award semester credits.

    Credits: 3 Semester

    Transfer: 2 year degree applicable

    Your college will require any class you wish to transfer to them to be from a regionally accredited college that awards academic semester or quarter credits.They will also want the course description of the course to match their own. United States University is regionally accredited and issues academic semester credits. Our course description will match or exceed your college's description; thus, your college will most likely accept the course and apply it towards your degree. If you would like pre-approval from your school, please send your counselor or registrar's office the link at the bottom of this page.Your college may be one of the many schools that we are associated with, so check the Associated School link before asking for pre-approval. (K-12 use)

    Enrollment Schedule:

    Enroll any day of the year, and start that same day. Students have five months of access, plus a 30 day extension at the end if needed. Students can finish the self-paced courses as soon as they are able. Most students finish the lower level courses in 4 - 8 weeks. The upper level math classes, such as Calculus and above, usually take students 3-4 months. (Note: The 30-day extension cannot take your total course time six months beyond the date of enrollment. At the end of the six months, we must post a grade with the university.)

    Required Textbook:

    No outside textbook is needed. Our Omega MathTM courses contain all the lessons, homework, solution manuals, quizzes, tests and the final. Our lessons start out with the easiest example, and then moves slowly to the more advanced problems. Between examples, there are interactive problems which make sure the student understands the concepts, as well as enables the student to store the information into long term memory.

    Grading Mode:

    Standard letter grade.

    Proctored Final: Yes

    Description

    This course was designed to prepare students in the understanding of properties and applications in Euclidean geometry. Extensive use of definitions, postulates and theorems are used throughout this course to write proofs using deductive reasoning. Critical thinking skills are used in solving real world applications. Topics include angles, parallel and perpendicular lines, congruence, similar triangles, properties and applications of right triangles, introduction to trigonometry, constructions, transformations, polygons, circles, area, perimeter, surface area, volume, and three dimensional space.
    This course is equivalent to one year of High School Plane Geometry or one semester of college level Geometry.
    Prerequisite: Either a year of high school Algebra l or one semester of Elementary Algebra with a grade of C or better.
    UC Approved: Yes
    Meets Common Core Requirements: Yes

    Learning Outcomes

    At the conclusion of this course, students should be able to:

    1. Identify and apply the basic properties of triangles, quadrilaterals and polygons.
    2. Understand and apply geometric constructions.
    3. Apply definitions, postulates, and theorems to prove a wide variety of geometric properties and statements using deductive reasoning in a two-column format.
    4. Classify quadrilaterals by their properties as rectangles, squares, parallelograms, rhombuses, kites and trapezoids.
    5. Calculate measures of the angles, diagonals and altitudes of various quadrilaterals as well as other geometric figures.
    6. Apply definitions, postulates, and theorems to set up and solve related geometric problems.
    7. Apply the corresponding parts of congruent triangle theorem for sides and angles of a triangle to prove and solve related problems.
    8. Apply properties for parallel and perpendicular lines to prove and solve related problems.
    9. Solve problems using relationships among chords, secants, tangents, and inscribed angles of inscribed and circumscribed polygons.
    10. Apply rigid and non-rigid motion transformations.
    11. Solve triangles using the properties of similar triangles.
    12. Calculate circumference, area, surface area, perimeter and volume to common geometric figures.
    13. Understand and apply basic calculations using trigonometry to solve for an unknown angle or side of a right triangle.
    14. Understand equations and graphs of conic sections.
    15. Demonstrate proficiency in strategic competence, conceptual understanding and adaptive reasoning.
    16. Express relationships among quantities using variables.
    17. Demonstrate real-world problem solving skills. Analyze the problem and break it into parts, recognize the concepts applicable to the parts, recognize the relationship between the parts, write the concepts in proper geometric representations, solve the problem in symbols, interpret the final results.
    18. Recognize a language description, geometric and algebraic representation, and be able to transfer from one form to the other.

    Methods of Evaluation:

    Homework quizzes 15%
    Chapter tests 60%
    Final 25%
    (You must get at least 60% on this final in order to pass the class with a C or better.)

    Homework Quizzes: 15%

    Homework assignments are essential in a mathematics course. It is not possible to master the course without a considerable amount of time being devoted to studying the concepts and solving problems. Each lesson contains a set of homework problems, and you are required to do all the odd problems for each section. Work out each problem, and then check the solution manual for a detailed solution. Do not continue to the next problem until you understand your mistake. Once you feel comfortable with the homework set, take the homework quiz for that section. The homework quizzes are revised problems from the homework sets. You may take each quiz twice, and the higher of the two scores is used to calculate your quiz grade. Once you take a quiz, figure out what you did wrong on the problems that you missed and then try the quiz again. It is important to figure what you did wrong before you push forward. If you figure out your errors at this step, you will be less likely to make the same error on the test or the final. The struggle to figure out what you did wrong stores the mathematics into your long-term memory, and aids in building abstract thinking.

    Chapter Tests: 60%

    After you have completed a chapter, and understand everything in the lessons, homework sets and quizzes, take the chapter test. The chapter tests are revised problems from the quizzes. You may take each chapter test twice, and the higher of the two scores is used to calculate your chapter test grade. Once you take a chapter test, figure out what you did wrong on the problems that you missed and then try the chapter test again. It is important to figure what you did wrong before you push forward. If you figure out your errors at this step, you will be less likely to make the same error on the final.

    Proctored Final: 25%

    This course go towards a degree which means it must have a proctored final. Your college is accepting this course because it goes through a regionally accredited university, which tells them the class will have a proctored final, and the 60% rule will apply. Your college will not accept a class from a school that is not regionally accredited, because they know these standards won't be met.

    The final exam must be proctored at college testing center or a Sylvan Learning Center. A valid driver's license or State ID must be shown at the testing center. An expired license or State ID will not be accepted. Use this link to help you find a college testing center or Sylvan Learning center near your home: Proctored Final

    The final exam is a comprehensive final covering all of the chapters of the course. Other than scratch paper, you may view the "Authorized Materials" list for the final exam for each class.

    • Students must obtain a 60% or better on the final exam in order to get a C or better in the class.
    • Students that obtain a grade of an F on the final can receive at most a D in the class. Students that obtain a D on the final can receive at most a C in the class. Students that obtain a C on the final can receive at most a B in the class.

    The 60% rule was set in place to protect the integrity of online math education by requiring a display of competency in exchange for a grade. All schools which are regionally accredited adhere to online standards. Your college is accepting this course because it goes through a regionally accredited university, which tells your college that standards have been met. Your college will not accept a class from a school that is not regionally accredited, because they know the standards won't be met.

    Assessment:

    A 90-100 A Clearly stands out as excellent performance and, exhibits mastery of learning outcomes.
    B 80-89 B Grasps subject matter at a level considered to be good to very good, and exhibits partial mastery of learning outcomes.
    C 70-79 C Demonstrates a satisfactory comprehension of the subject matter, and exhibits sufficient understanding and skills to progress in continued sequential learning.
    D 60-69 D Quality and quantity of work is below average and exhibits only partial understanding and skills to progress in continued sequential learning.
    F 0-59 F Quality and quantity of work is below average and not sufficient to progress.

    Instructional Process: In this course we will explore mathematical concepts, methods and applications from life issues, business and finance, social and environmental issues. Civic and social issues will be used as problems to apply the subject principles. Using the civic, social, and life related examples will help students understand the subject at a deeper level. After an introduction in each section, problems will be solved that start with the easiest examples and move slowly to the more advanced problems with Student Interactive Problems (SIP) in between. The SIPs are important! They give you a chance to slow down and make sure you understand the material. If you get the problem correct, continue on with the next example. If you get the problem wrong, you will be taken to a page that works out the problem in detail. The SIPs play a large part in storing the topics along with their procedures into your long-term memory. Each homework set contains applications for that lesson. These real life applications create a better understanding of math in our world and how it applies to every day life.

    Course Content Menu:

    Chapter 1

    Introduction to Geometry, Logic and Proofs

    Lessons Homework HW Quiz
    1.1   Defining Terms 1.1 1.1
    1.2   Angles 1.2 1.2
    1.3   Logic Statements 1.3 1.3
    1.4   Algebra Properties 1.4 1.4
    1.5   Introduction to Proofs 1.5 1.5
    1.6   Angles Formed by Transversal, Parallel and Perpendicular Lines 1.6 1.6
    1.7   Linear Equations 1.7 1.7

    Chapter 1 Test (26 questions)

     

    Chapter 2

    Triangles

    Lessons Homework HW Quiz
    2.1   Segments in a Triangle 2.1 2.1
    2.2   Similar Triangles 2.2 2.2
    2.3   Corresponding Parts and Congruency of Triangles 2.3 2.3
    2.4   Right Triangle and Pythagorean Theorem 2.4 2.4
    2.5   Isosceles and Equilateral Triangles 2.5 2.5
    2.6   Proof by Contradiction 2.6 2.6

    Chapter 2 Test (21 questions)

     

    Chapter 3

    Introduction to Trigonometry

    Lessons Homework HW Quiz
    3.1   Special Right Triangles 3.1 3.1
    3.2   Trigonometry 3.2 3.2
    3.3   Applications of Trigonometry 3.3 3.3
    3.4   Law of Cosines 3.4 3.4
    3.5   Law of Sines 3.5 3.5

    Chapter 3 Test (23 questions)

     

    Chapter 4

    Polygons

    Lessons Homework HW Quiz
    4.1   Defining Polygons 4.1 4.1
    4.2   Quadrilaterals 4.2 4.2
    4.3   Sum of Interior and Exterior Angles 4.3 4.3

    Chapter 4 Test (18 questions)

     

    Chapter 5

    Circles

    Lessons Homework HW Quiz
    5.1   Defining Circles 5.1 5.1
    5.2   Circle Pairs 5.2 5.2
    5.3   Objects in a Circle 5.3 5.3
    5.4   Angles in a Circle 5.4 5.4

    Chapter 5 Test (25 questions)

     

    Chapter 6

    Constructions and Transformations

    Lessons Homework HW Quiz
    6.1   Constructions 6.1 6.1
    6.2   Transformations - Rigid Motion 6.2 6.2
    6.3   Transformations - Non-Rigid Motion 6.3 6.3

    Chapter 6 Test (15 questions)

     

    Chapter 7

    Perimeter of a Plane Figure

    Lessons Homework HW Quiz
    7.1   Polygons 7.1 7.1
    7.2   Circles 7.2 7.2

    Chapter 7 Test (14 questions)

     

    Chapter 8

    Area of a Plane Figure

    Lessons Homework HW Quiz
    8.1   Triangles 8.1 8.1
    8.2   Triangles using Trigonometry 8.2 8.2
    8.3   Polygons 8.3 8.3
    8.4   Circles 8.4 8.4
    8.5   Applications 8.5 8.5

    Chapter 8 Test (25 questions)

     

    Chapter 9

    Surface Area

    Lessons Homework HW Quiz
    9.1   Polyhedrons 9.1 9.1
    9.2   Cylinders, Cones & Spheres 9.2 9.2

    Chapter 9 Test (16 questions)

     

    Chapter 10

    Volume

    Lessons Homework HW Quiz
    10.1   Straight Solids 10.1 10.1
    10.2   Pointed Solids 10.2 10.2
    10.3   Spheres 10.3 10.3

    Chapter 10 Test (18 questions)

     

    Chapter 11

    Conic Sections

    Lessons Homework HW Quiz
    11.1   Circles 11.1 11.1
    11.2   Parabolas 11.2 11.2
    11.3   Ellipses 11.3 11.3
    11.4   Hyperbolas 11.4 11.4

    Chapter 11 Test (15 questions)

    Final for Geometry (50 questions)

    Time on Task:

    This course is online and your participation at home is imperative. A minimum of 8 - 10 hours per week of study time is required for covering all of the online material to achieve a passing grade. You must set up a regular study schedule. You have five months of access to your online account with a thirty-day extension at the end if needed. If you do not complete the course within this time line, you will need to enroll in a second term.

    Schedule:

    Below is the suggested time table to follow to stay on a 17 week schedule for the course. The following schedule is the minimum number of sections that need to be completed each week if you would like to finish in a regular semester time frame. You do not have to adhere to this schedule. You have five months of access plus a 30 day extension at the end if needed. You can finish the course as soon as you are able.

    Week Complete Sections
    2 1.1 - 1.3
    2 1.4 - 1.5
    3 1.6 - 2.1
    4 2.2 - 2.4
    5 2.5 - 2.6
    6 3.1 - 3.3
    7 3.4 - 4.1
    8 4.2 - 4.3
    9 5.1 - 5.3
    10 5.4 - 6.2
    11 6.3 - 7.2
    12 8.1 - 8.3
    13 8.4 - 9.1
    14 9.2 - 10.2
    15 10.3 - 11.2
    16 11.3 - 11.4
    Final Exam

    Conduct Code:

    Code of Ethics:

    Regulations and rules are necessary to implement for classroom as well as online course behavior. Students are expected to practice honesty, integrity and respect at all times. It is the student's responsibility and duty to become acquainted with all provisions of the code below and what constitutes misconduct. Cheating is forbidden of any form will result in an F in the class.

    Respectful communications:

    When contacting Omega Math or Westcott Courses, you agree to be considerate and respectful. Communications from a student which are considered by our staff to be rude, insulting, disrespectful, harassing, or bullying via telephone, email, or otherwise will be considered a disrespectful communication and will result in a formal warning.

    We reserve the right to refuse service. If we receive multiple disrespectful communications from person(s) representing the student, or the student themselves, the student will be excluded from taking future courses at Westcott Courses/Omega Math.

    Grading information and proctored final policies:

    The grading rules are put in place to protect the integrity of online education by stopping grade inflation, which is done by demanding a display of competency in exchange for a grade. By agreeing to the terms of service agreement, you agree to read the 'Grading' Policy from within your account, and the 'Proctored Final Information' page, if applicable. You have 24 hours after your first log-in to notify us if you do not agree to the grading policy and proctored final policy ( if applicable ) outlined in the pages inside of your account, otherwise it is assumed that you agree with the policies. There are no exceptions to these policies, and the pretext of not reading the pages will not be deemed as a reasonable excuse to contest the policies.

    Examples of academic misconduct:

    Cheating: Any form of cheating will result in an F in the class. If there is an associated college attached to the course, that college will be notified of the F due to cheating and they will determine any disciplinary action.

    Any form of collaboration or use of unauthorized materials during a quiz or an exam is forbidden.

    By signing up for a course, you are legally signing a contract that states that the person who is named taking this course is the actual individual doing the course work and all examinations. You also agree that for courses that require proctored testing, that your final will be taken at a college testing center, a Sylvan Learning center, and the individual signed up for this course will be the one taking the test. Failure to do so will be considered a breach of contract.

    Other forms of cheating include receiving or providing un-permitted assistance on an exam or quiz; taking an exam for another student; using unauthorized materials during an exam; altering an exam and submitting it for re-grading; failing to stop working on the exam when the time is up; providing false excuses to postpone due dates; fabricating data or references, claiming that Westcott Courses/Omega Math lost your test and or quiz scores. This includes hiring someone to take the tests and quizzes for you.

    Unauthorized collaboration:

    Working with others on graded course work without specific permission of the instructor, including homework assignments, programs, quizzes and tests, is considered a form of cheating.

    Important Notes:

    This syllabus is subject to change and / or revision during the academic year. Students with documented learning disabilities should notify our office upon enrollment, as well as make sure we let the testing center know extended time is permitted. Valid documentation involves educational testing and a diagnosis from a college, licensed clinical psychologist or psychiatrist.

  • Course Code: DEV3 E874

    Transcript:

    Yes, from Cal Poly State University.

    Units: 5

    Transfer:

    Enrollment Schedule:

    Enroll any day of the year, and start that same day. Students have five months of access, plus a 30 day extension at the end if needed. Students can finish the self-paced courses as soon as they are able. Most students finish the lower level courses in 4 - 8 weeks. The upper level math classes, such as Calculus and above, usually take students 3-4 months. (Note: The 30-day extension cannot take your total course time six months beyond the date of enrollment. At the end of the six months, we must post a grade with the university.)

    Required Textbook:

    No outside textbook is needed. Our Omega MathTM courses contain all the lessons, homework, solution manuals, quizzes, tests and the final. Our lessons start out with the easiest example, and then moves slowly to the more advanced problems. Between examples, there are interactive problems which make sure the student understands the concepts, as well as enables the student to store the information into long term memory.

    Grading Mode:

    Standard letter grade.

    Proctored Final: No

    Description

    This course is designed to prepare students in the understanding of properties and applications in Euclidean geometry. Extensive use of definitions, postulates and theorems are used throughout this course to write proofs using deductive reasoning. Critical thinking skills are used in solving real world applications. Topics include parallel and perpendicular lines, congruence, similar and other properties of triangles, introduction to trigonometry, transformations, three dimensional concepts, conics, angles, polygons, circles, area, perimeter, surface area and volume. This course is equivalent to one year of High School Plane Geometry or one semester of college level Geometry.
    Prerequisite: Either a year of high school Algebra l or one semester of Elementary Algebra with a grade of C or better.
    UC Approved: Yes
    Meets Common Core Requirements: Yes

    Learning Outcomes

    At the conclusion of this course, students should be able to:

    1. Identify and apply the basic properties of triangles, quadrilaterals and other polygons.
    2. Understand and apply geometric construction.
    3. Classify quadrilaterals by their properties as rectangles, squares, parallelograms, rhombuses, kites and trapezoids. Be able to calculate measures of the angles, diagonals and altitudes of various quadrilaterals as well as other geometric figures.
    4. Understand and apply the definitions, postulates, and theorems of geometry to set up and solve related problems.
    5. Apply definitions, postulates, and theorems to prove a wide variety of geometric properties and statements using deductive reasoning in a two column format.
    6. Apply the corresponding parts of congruent triangles theorem for sides and angles of a triangle to prove and solve related problems.
    7. Understand and apply parallel and perpendicular properties to prove and solve related problems.
    8. Solve problems using relationships among chords, secants, tangents, and inscribed angles of inscribed and circumscribed polygons.
    9. Apply rigid motion as well as non-rigid motion transformations.
    10. Understand and apply geometric proportions and similarity.
    11. Calculate circumference, area, surface area, perimeter and volume of common geometric figures.
    12. Understand and apply basic calculations using trigonometry to solve for an unknown length of a side or angle of a right triangle.
    13. Understand equations and graphs of conic sections.

    Methods of Evaluation:

    Homework quizzes 15%
    Chapter tests 60%
    Final 25%
    (You must get at least 60% on this final in order to pass the class with a C or better.)

    Homework Quizzes: 15%

    Homework assignments are essential in a mathematics course. It is not possible to master the course without a considerable amount of time being devoted to studying the concepts and solving problems. Each lesson contains a set of homework problems, and you are required to do all the odd problems for each section. Work out each problem, and then check the solution manual for a detailed solution. Do not continue to the next problem until you understand your mistake. Once you feel comfortable with the homework set, take the homework quiz for that section. The homework quizzes are revised problems from the homework sets. You may take each quiz twice, and the higher of the two scores is used to calculate your quiz grade. Once you take a quiz, figure out what you did wrong on the problems that you missed and then try the quiz again. It is important to figure what you did wrong before you push forward. If you figure out your errors at this step, you will be less likely to make the same error on the test or the final. The struggle to figure out what you did wrong stores the mathematics into your long-term memory, and aids in building abstract thinking.

    Chapter Tests: 60%

    After you have completed a chapter, and understand everything in the lessons, homework sets and quizzes, take the chapter test. The chapter tests are revised problems from the quizzes. You may take each chapter test twice, and the higher of the two scores is used to calculate your chapter test grade. Once you take a chapter test, figure out what you did wrong on the problems that you missed and then try the chapter test again. It is important to figure what you did wrong before you push forward. If you figure out your errors at this step, you will be less likely to make the same error on the final.

    Assessment:

    A 90-100 A Clearly stands out as excellent performance and, exhibits mastery of learning outcomes.
    B 80-89 B Grasps subject matter at a level considered to be good to very good, and exhibits partial mastery of learning outcomes.
    C 70-79 C Demonstrates a satisfactory comprehension of the subject matter, and exhibits sufficient understanding and skills to progress in continued sequential learning.
    D 60-69 D Quality and quantity of work is below average and exhibits only partial understanding and skills to progress in continued sequential learning.
    F 0-59 F Quality and quantity of work is below average and not sufficient to progress.

    Instructional Process: In this course we will explore mathematical concepts, methods and applications from life issues, business and finance, social and environmental issues. Civic and social issues will be used as problems to apply the subject principles. Using the civic, social, and life related examples will help students understand the subject at a deeper level. After an introduction in each section, problems will be solved that start with the easiest examples and move slowly to the more advanced problems with Student Interactive Problems (SIP) in between. The SIPs are important! They give you a chance to slow down and make sure you understand the material. If you get the problem correct, continue on with the next example. If you get the problem wrong, you will be taken to a page that works out the problem in detail. The SIPs play a large part in storing the topics along with their procedures into your long-term memory. Each homework set contains applications for that lesson. These real life applications create a better understanding of math in our world and how it applies to every day life.

    Course Content Menu:

    Chapter 1

    Introduction to Geometry, Logic and Proofs

    Lessons Homework HW Quiz
    1.1   Defining Terms 1.1 1.1
    1.2   Angles 1.2 1.2
    1.3   Logic Statements 1.3 1.3
    1.4   Algebra Properties 1.4 1.4
    1.5   Introduction to Proofs 1.5 1.5
    1.6   Angles Formed by Transversal, Parallel and Perpendicular Lines 1.6 1.6
    1.7   Linear Equations 1.7 1.7

    Chapter 1 Test (26 questions)

     

    Chapter 2

    Triangles

    Lessons Homework HW Quiz
    2.1   Segments in a Triangle 2.1 2.1
    2.2   Similar Triangles 2.2 2.2
    2.3   Corresponding Parts and Congruency of Triangles 2.3 2.3
    2.4   Right Triangle and Pythagorean Theorem 2.4 2.4
    2.5   Isosceles and Equilateral Triangles 2.5 2.5
    2.6   Proof by Contradiction 2.6 2.6

    Chapter 2 Test (21 questions)

     

    Chapter 3

    Introduction to Trigonometry

    Lessons Homework HW Quiz
    3.1   Special Right Triangles 3.1 3.1
    3.2   Trigonometry 3.2 3.2
    3.3   Applications of Trigonometry 3.3 3.3
    3.4   Law of Cosines 3.4 3.4
    3.5   Law of Sines 3.5 3.5

    Chapter 3 Test (23 questions)

     

    Chapter 4

    Polygons

    Lessons Homework HW Quiz
    4.1   Defining Polygons 4.1 4.1
    4.2   Quadrilaterals 4.2 4.2
    4.3   Sum of Interior and Exterior Angles 4.3 4.3

    Chapter 4 Test (18 questions)

     

    Chapter 5

    Circles

    Lessons Homework HW Quiz
    5.1   Defining Circles 5.1 5.1
    5.2   Circle Pairs 5.2 5.2
    5.3   Objects in a Circle 5.3 5.3
    5.4   Angles in a Circle 5.4 5.4

    Chapter 5 Test (25 questions)

     

    Chapter 6

    Constructions and Transformations

    Lessons Homework HW Quiz
    6.1   Constructions 6.1 6.1
    6.2   Transformations - Rigid Motion 6.2 6.2
    6.3   Transformations - Non-Rigid Motion 6.3 6.3

    Chapter 6 Test (15 questions)

     

    Chapter 7

    Perimeter of a Plane Figure

    Lessons Homework HW Quiz
    7.1   Polygons 7.1 7.1
    7.2   Circles 7.2 7.2

    Chapter 7 Test (14 questions)

     

    Chapter 8

    Area of a Plane Figure

    Lessons Homework HW Quiz
    8.1   Triangles 8.1 8.1
    8.2   Triangles using Trigonometry 8.2 8.2
    8.3   Polygons 8.3 8.3
    8.4   Circles 8.4 8.4
    8.5   Applications 8.5 8.5

    Chapter 8 Test (25 questions)

     

    Chapter 9

    Surface Area

    Lessons Homework HW Quiz
    9.1   Polyhedrons 9.1 9.1
    9.2   Cylinders, Cones & Spheres 9.2 9.2

    Chapter 9 Test (16 questions)

     

    Chapter 10

    Volume

    Lessons Homework HW Quiz
    10.1   Straight Solids 10.1 10.1
    10.2   Pointed Solids 10.2 10.2
    10.3   Spheres 10.3 10.3

    Chapter 10 Test (18 questions)

     

    Chapter 11

    Conic Sections

    Lessons Homework HW Quiz
    11.1   Circles 11.1 11.1
    11.2   Parabolas 11.2 11.2
    11.3   Ellipses 11.3 11.3
    11.4   Hyperbolas 11.4 11.4

    Chapter 11 Test (15 questions)

    Final for Geometry (50 questions)

    Time on Task:

    This course is online and your participation at home is imperative. A minimum of 13 - 15 hours per week of study time is required for covering all of the online material to achieve a passing grade. You must set up a regular study schedule. You have five months of access to your online account with a thirty-day extension at the end if needed. If you do not complete the course within this time line, you will need to enroll in a second term.

    Schedule:

    Below is the suggested time table to follow to stay on a 17 week schedule for the course. The following schedule is the minimum number of sections that need to be completed each week if you would like to finish in a regular semester time frame. You do not have to adhere to this schedule. You have five months of access plus a 30 day extension at the end if needed. You can finish the course as soon as you are able.

    Week Complete Sections
    2 1.1 - 1.3
    2 1.4 - 1.5
    3 1.6 - 2.1
    4 2.2 - 2.4
    5 2.5 - 2.6
    6 3.1 - 3.3
    7 3.4 - 4.1
    8 4.2 - 4.3
    9 5.1 - 5.3
    10 5.4 - 6.2
    11 6.3 - 7.2
    12 8.1 - 8.3
    13 8.4 - 9.1
    14 9.2 - 10.2
    15 10.3 - 11.2
    16 11.3 - 11.4
    Final Exam

    Conduct Code:

    Code of Ethics:

    Regulations and rules are necessary to implement for classroom as well as online course behavior. Students are expected to practice honesty, integrity and respect at all times. It is the student's responsibility and duty to become acquainted with all provisions of the code below and what constitutes misconduct. Cheating is forbidden of any form will result in an F in the class.

    Respectful communications:

    When contacting Omega Math or Westcott Courses, you agree to be considerate and respectful. Communications from a student which are considered by our staff to be rude, insulting, disrespectful, harassing, or bullying via telephone, email, or otherwise will be considered a disrespectful communication and will result in a formal warning.

    We reserve the right to refuse service. If we receive multiple disrespectful communications from person(s) representing the student, or the student themselves, the student will be excluded from taking future courses at Westcott Courses/Omega Math.

    Grading information and proctored final policies:

    The grading rules are put in place to protect the integrity of online education by stopping grade inflation, which is done by demanding a display of competency in exchange for a grade. By agreeing to the terms of service agreement, you agree to read the 'Grading' Policy from within your account, and the 'Proctored Final Information' page, if applicable. You have 24 hours after your first log-in to notify us if you do not agree to the grading policy and proctored final policy ( if applicable ) outlined in the pages inside of your account, otherwise it is assumed that you agree with the policies. There are no exceptions to these policies, and the pretext of not reading the pages will not be deemed as a reasonable excuse to contest the policies.

    Examples of academic misconduct:

    Cheating: Any form of cheating will result in an F in the class. If there is an associated college attached to the course, that college will be notified of the F due to cheating and they will determine any disciplinary action.

    Any form of collaboration or use of unauthorized materials during a quiz or an exam is forbidden.

    By signing up for a course, you are legally signing a contract that states that the person who is named taking this course is the actual individual doing the course work and all examinations. You also agree that for courses that require proctored testing, that your final will be taken at a college testing center, a Sylvan Learning center, and the individual signed up for this course will be the one taking the test. Failure to do so will be considered a breach of contract.

    Other forms of cheating include receiving or providing un-permitted assistance on an exam or quiz; taking an exam for another student; using unauthorized materials during an exam; altering an exam and submitting it for re-grading; failing to stop working on the exam when the time is up; providing false excuses to postpone due dates; fabricating data or references, claiming that Westcott Courses/Omega Math lost your test and or quiz scores. This includes hiring someone to take the tests and quizzes for you.

    Unauthorized collaboration:

    Working with others on graded course work without specific permission of the instructor, including homework assignments, programs, quizzes and tests, is considered a form of cheating.

    Important Notes:

    This syllabus is subject to change and / or revision during the academic year. Students with documented learning disabilities should notify our office upon enrollment, as well as make sure we let the testing center know extended time is permitted. Valid documentation involves educational testing and a diagnosis from a college, licensed clinical psychologist or psychiatrist.

  • Course Code: None

    Transcript:

    A certificate of completion is issued from Omega Math. This course under the non-credit option does not go through one of our partner universities; thus, a transcript is not included with the course.

    Credits: 0

    Certificate of Completion: Yes

    Transfer:

    Some of our Associated Schools permit their students to take this course under the non-credit option, and use it as a prerequisite for the next course. Check the list to see if your college permits this non-credit option. If your school is not on this list and you want to transfer the course to your college, you will need to enroll under the semester credit option. If you would like pre-approval from your school, please send your counselor or registrar's office the link to this page. If you would like to take this class for personal enrichment, the non-credit course is the exact same class as the credit course; it is just less expensive since it is not sent through our partner university for credit. The non-credit courses can also be used to learn the material and then receive credit at a home college using Credit by Examination.
    (K-12 use)

    Enrollment Schedule:

    Enroll any day of the year, and start that same day. Students have five months of access, plus a 30 day extension at the end if needed. Students can finish the self-paced courses as soon as they are able. Most students finish the lower level courses in 4 - 8 weeks. The upper level math classes, such as Calculus and above, usually take students 3-4 months. (Note: The 30-day extension cannot take your total course time six months beyond the date of enrollment. At the end of the six months, we must post a grade with the university.)

    Required Textbook:

    No outside textbook is needed. Our Omega MathTM courses contain all the lessons, homework, solution manuals, quizzes, tests and the final. Our lessons start out with the easiest example, and then moves slowly to the more advanced problems. Between examples, there are interactive problems which make sure the student understands the concepts, as well as enables the student to store the information into long term memory.

    Grading Mode:

    Standard letter grade.

    Proctored Final: No

    Description

    This course is designed to prepare students in the understanding of properties and applications in Euclidean geometry. Extensive use of definitions, postulates and theorems are used throughout this course to write proofs using deductive reasoning. Critical thinking skills are used in solving real world applications. Topics include parallel and perpendicular lines, congruence, similar and other properties of triangles, introduction to trigonometry, transformations, three dimensional concepts, conics, angles, polygons, circles, area, perimeter, surface area and volume. This course is equivalent to one year of High School Plane Geometry or one semester of college level Geometry.
    Prerequisite: Either a year of high school Algebra l or one semester of Elementary Algebra with a grade of C or better.
    UC Approved: Yes
    Meets Common Core Requirements: Yes

    Learning Outcomes

    At the conclusion of this course, students should be able to:

    1. Identify and apply the basic properties of triangles, quadrilaterals and other polygons.
    2. Understand and apply geometric construction.
    3. Classify quadrilaterals by their properties as rectangles, squares, parallelograms, rhombuses, kites and trapezoids. Be able to calculate measures of the angles, diagonals and altitudes of various quadrilaterals as well as other geometric figures.
    4. Understand and apply the definitions, postulates, and theorems of geometry to set up and solve related problems.
    5. Apply definitions, postulates, and theorems to prove a wide variety of geometric properties and statements using deductive reasoning in a two column format.
    6. Apply the corresponding parts of congruent triangles theorem for sides and angles of a triangle to prove and solve related problems.
    7. Understand and apply parallel and perpendicular properties to prove and solve related problems.
    8. Solve problems using relationships among chords, secants, tangents, and inscribed angles of inscribed and circumscribed polygons.
    9. Apply rigid motion as well as non-rigid motion transformations.
    10. Understand and apply geometric proportions and similarity.
    11. Calculate circumference, area, surface area, perimeter and volume of common geometric figures.
    12. Understand and apply basic calculations using trigonometry to solve for an unknown length of a side or angle of a right triangle.
    13. Understand equations and graphs of conic sections.

    Methods of Evaluation:

    Homework quizzes 15%
    Chapter tests 60%
    Final 25%
    (You must get at least 60% on this final in order to pass the class with a C or better.)

    Homework Quizzes: 15%

    Homework assignments are essential in a mathematics course. It is not possible to master the course without a considerable amount of time being devoted to studying the concepts and solving problems. Each lesson contains a set of homework problems, and you are required to do all the odd problems for each section. Work out each problem, and then check the solution manual for a detailed solution. Do not continue to the next problem until you understand your mistake. Once you feel comfortable with the homework set, take the homework quiz for that section. The homework quizzes are revised problems from the homework sets. You may take each quiz twice, and the higher of the two scores is used to calculate your quiz grade. Once you take a quiz, figure out what you did wrong on the problems that you missed and then try the quiz again. It is important to figure what you did wrong before you push forward. If you figure out your errors at this step, you will be less likely to make the same error on the test or the final. The struggle to figure out what you did wrong stores the mathematics into your long-term memory, and aids in building abstract thinking.

    Chapter Tests: 60%

    After you have completed a chapter, and understand everything in the lessons, homework sets and quizzes, take the chapter test. The chapter tests are revised problems from the quizzes. You may take each chapter test twice, and the higher of the two scores is used to calculate your chapter test grade. Once you take a chapter test, figure out what you did wrong on the problems that you missed and then try the chapter test again. It is important to figure what you did wrong before you push forward. If you figure out your errors at this step, you will be less likely to make the same error on the final.

    Assessment:

    A 90-100 A Clearly stands out as excellent performance and, exhibits mastery of learning outcomes.
    B 80-89 B Grasps subject matter at a level considered to be good to very good, and exhibits partial mastery of learning outcomes.
    C 70-79 C Demonstrates a satisfactory comprehension of the subject matter, and exhibits sufficient understanding and skills to progress in continued sequential learning.
    D 60-69 D Quality and quantity of work is below average and exhibits only partial understanding and skills to progress in continued sequential learning.
    F 0-59 F Quality and quantity of work is below average and not sufficient to progress.

    Instructional Process: In this course we will explore mathematical concepts, methods and applications from life issues, business and finance, social and environmental issues. Civic and social issues will be used as problems to apply the subject principles. Using the civic, social, and life related examples will help students understand the subject at a deeper level. After an introduction in each section, problems will be solved that start with the easiest examples and move slowly to the more advanced problems with Student Interactive Problems (SIP) in between. The SIPs are important! They give you a chance to slow down and make sure you understand the material. If you get the problem correct, continue on with the next example. If you get the problem wrong, you will be taken to a page that works out the problem in detail. The SIPs play a large part in storing the topics along with their procedures into your long-term memory. Each homework set contains applications for that lesson. These real life applications create a better understanding of math in our world and how it applies to every day life.

    Course Content Menu:

    Chapter 1

    Introduction to Geometry, Logic and Proofs

    Lessons Homework HW Quiz
    1.1   Defining Terms 1.1 1.1
    1.2   Angles 1.2 1.2
    1.3   Logic Statements 1.3 1.3
    1.4   Algebra Properties 1.4 1.4
    1.5   Introduction to Proofs 1.5 1.5
    1.6   Angles Formed by Transversal, Parallel and Perpendicular Lines 1.6 1.6
    1.7   Linear Equations 1.7 1.7

    Chapter 1 Test (26 questions)

     

    Chapter 2

    Triangles

    Lessons Homework HW Quiz
    2.1   Segments in a Triangle 2.1 2.1
    2.2   Similar Triangles 2.2 2.2
    2.3   Corresponding Parts and Congruency of Triangles 2.3 2.3
    2.4   Right Triangle and Pythagorean Theorem 2.4 2.4
    2.5   Isosceles and Equilateral Triangles 2.5 2.5
    2.6   Proof by Contradiction 2.6 2.6

    Chapter 2 Test (21 questions)

     

    Chapter 3

    Introduction to Trigonometry

    Lessons Homework HW Quiz
    3.1   Special Right Triangles 3.1 3.1
    3.2   Trigonometry 3.2 3.2
    3.3   Applications of Trigonometry 3.3 3.3
    3.4   Law of Cosines 3.4 3.4
    3.5   Law of Sines 3.5 3.5

    Chapter 3 Test (23 questions)

     

    Chapter 4

    Polygons

    Lessons Homework HW Quiz
    4.1   Defining Polygons 4.1 4.1
    4.2   Quadrilaterals 4.2 4.2
    4.3   Sum of Interior and Exterior Angles 4.3 4.3

    Chapter 4 Test (18 questions)

     

    Chapter 5

    Circles

    Lessons Homework HW Quiz
    5.1   Defining Circles 5.1 5.1
    5.2   Circle Pairs 5.2 5.2
    5.3   Objects in a Circle 5.3 5.3
    5.4   Angles in a Circle 5.4 5.4

    Chapter 5 Test (25 questions)

     

    Chapter 6

    Constructions and Transformations

    Lessons Homework HW Quiz
    6.1   Constructions 6.1 6.1
    6.2   Transformations - Rigid Motion 6.2 6.2
    6.3   Transformations - Non-Rigid Motion 6.3 6.3

    Chapter 6 Test (15 questions)

     

    Chapter 7

    Perimeter of a Plane Figure

    Lessons Homework HW Quiz
    7.1   Polygons 7.1 7.1
    7.2   Circles 7.2 7.2

    Chapter 7 Test (14 questions)

     

    Chapter 8

    Area of a Plane Figure

    Lessons Homework HW Quiz
    8.1   Triangles 8.1 8.1
    8.2   Triangles using Trigonometry 8.2 8.2
    8.3   Polygons 8.3 8.3
    8.4   Circles 8.4 8.4
    8.5   Applications 8.5 8.5

    Chapter 8 Test (25 questions)

     

    Chapter 9

    Surface Area

    Lessons Homework HW Quiz
    9.1   Polyhedrons 9.1 9.1
    9.2   Cylinders, Cones & Spheres 9.2 9.2

    Chapter 9 Test (16 questions)

     

    Chapter 10

    Volume

    Lessons Homework HW Quiz
    10.1   Straight Solids 10.1 10.1
    10.2   Pointed Solids 10.2 10.2
    10.3   Spheres 10.3 10.3

    Chapter 10 Test (18 questions)

     

    Chapter 11

    Conic Sections

    Lessons Homework HW Quiz
    11.1   Circles 11.1 11.1
    11.2   Parabolas 11.2 11.2
    11.3   Ellipses 11.3 11.3
    11.4   Hyperbolas 11.4 11.4

    Chapter 11 Test (15 questions)

    Final for Geometry (50 questions)

    Time on Task:

    This course is online and your participation at home is imperative. A minimum of 8 - 10 hours per week of study time is required for covering all of the online material to achieve a passing grade. You must set up a regular study schedule. You have five months of access to your online account with a thirty-day extension at the end if needed. If you do not complete the course within this time line, you will need to enroll in a second term.

    Schedule:

    Below is the suggested time table to follow to stay on a 17 week schedule for the course. The following schedule is the minimum number of sections that need to be completed each week if you would like to finish in a regular semester time frame. You do not have to adhere to this schedule. You have five months of access plus a 30 day extension at the end if needed. You can finish the course as soon as you are able.

    Week Complete Sections
    2 1.1 - 1.3
    2 1.4 - 1.5
    3 1.6 - 2.1
    4 2.2 - 2.4
    5 2.5 - 2.6
    6 3.1 - 3.3
    7 3.4 - 4.1
    8 4.2 - 4.3
    9 5.1 - 5.3
    10 5.4 - 6.2
    11 6.3 - 7.2
    12 8.1 - 8.3
    13 8.4 - 9.1
    14 9.2 - 10.2
    15 10.3 - 11.2
    16 11.3 - 11.4
    Final Exam

    Conduct Code:

    Code of Ethics:

    Regulations and rules are necessary to implement for classroom as well as online course behavior. Students are expected to practice honesty, integrity and respect at all times. It is the student's responsibility and duty to become acquainted with all provisions of the code below and what constitutes misconduct. Cheating is forbidden of any form will result in an F in the class.

    Respectful communications:

    When contacting Omega Math or Westcott Courses, you agree to be considerate and respectful. Communications from a student which are considered by our staff to be rude, insulting, disrespectful, harassing, or bullying via telephone, email, or otherwise will be considered a disrespectful communication and will result in a formal warning.

    We reserve the right to refuse service. If we receive multiple disrespectful communications from person(s) representing the student, or the student themselves, the student will be excluded from taking future courses at Westcott Courses/Omega Math.

    Grading information and proctored final policies:

    The grading rules are put in place to protect the integrity of online education by stopping grade inflation, which is done by demanding a display of competency in exchange for a grade. By agreeing to the terms of service agreement, you agree to read the 'Grading' Policy from within your account, and the 'Proctored Final Information' page, if applicable. You have 24 hours after your first log-in to notify us if you do not agree to the grading policy and proctored final policy ( if applicable ) outlined in the pages inside of your account, otherwise it is assumed that you agree with the policies. There are no exceptions to these policies, and the pretext of not reading the pages will not be deemed as a reasonable excuse to contest the policies.

    Examples of academic misconduct:

    Cheating: Any form of cheating will result in an F in the class. If there is an associated college attached to the course, that college will be notified of the F due to cheating and they will determine any disciplinary action.

    Any form of collaboration or use of unauthorized materials during a quiz or an exam is forbidden.

    By signing up for a course, you are legally signing a contract that states that the person who is named taking this course is the actual individual doing the course work and all examinations. You also agree that for courses that require proctored testing, that your final will be taken at a college testing center, a Sylvan Learning center, and the individual signed up for this course will be the one taking the test. Failure to do so will be considered a breach of contract.

    Other forms of cheating include receiving or providing un-permitted assistance on an exam or quiz; taking an exam for another student; using unauthorized materials during an exam; altering an exam and submitting it for re-grading; failing to stop working on the exam when the time is up; providing false excuses to postpone due dates; fabricating data or references, claiming that Westcott Courses/Omega Math lost your test and or quiz scores. This includes hiring someone to take the tests and quizzes for you.

    Unauthorized collaboration:

    Working with others on graded course work without specific permission of the instructor, including homework assignments, programs, quizzes and tests, is considered a form of cheating.

    Important Notes:

    This syllabus is subject to change and / or revision during the academic year. Students with documented learning disabilities should notify our office upon enrollment, as well as make sure we let the testing center know extended time is permitted. Valid documentation involves educational testing and a diagnosis from a college, licensed clinical psychologist or psychiatrist.