Plane Geometry

Course Details

This course is delivered by Westcott Courses in partnership with Brandman University

MATU 098 - Plane Geometry

Prerequisite: Elementary Algebra with a grade of C or better.

Course 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.

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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.)

Duration

5 months to complete

Single 30 day extension if needed

Estimated Cost

$498

Payment Plan: First payment of $277.40 and a second payment 30 days later of $227.60.

Ways to Learn

Online

Credit

3 academic credit

Developmental/Remedial

Program Partner

We partnered with with Westcott Courses to offer online remedial, general education and other courses that count towards degree completion.

Upon successful mastery of this course, you will be able to

  • Identify and apply the basic properties of triangles, quadrilaterals and polygons.
  • Understand and apply geometric constructions.
  • Apply definitions, postulates, and theorems to prove a wide variety of geometric properties and statements using deductive reasoning in a two-column format.
  • Classify quadrilaterals by their properties as rectangles, squares, parallelograms, rhombuses, kites and trapezoids.
  • Calculate measures of the angles, diagonals and altitudes of various quadrilaterals as well as other geometric figures.
  • Apply definitions, postulates, and theorems to set up and solve related geometric problems.
  • Apply the corresponding parts of congruent triangle theorem for sides and angles of a triangle to prove and solve related problems.
  • Apply properties for parallel and perpendicular lines to prove and solve related problems.
  • Solve problems using relationships among chords, secants, tangents, and inscribed angles of inscribed and circumscribed polygons.
  • Apply rigid and non-rigid motion transformations.
  • Solve triangles using the properties of similar triangles.
  • Calculate circumference, area, surface area, perimeter and volume to common geometric figures.
  • Understand and apply basic calculations using trigonometry to solve for an unknown angle or side of a right triangle.
  •  Understand equations and graphs of conic sections.
  • Demonstrate proficiency in strategic competence, conceptual understanding and adaptive reasoning.
  • Express relationships among quantities using variables.
  • 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.
  • Recognize a language description, geometric and algebraic representation, and be able to transfer from one form to the other.

Course Topics:

  • Introduction to Geometry, Logic and Proofs
  • Triangles
  • Introduction to Trigonometry
  • Polygons
  • Circles
  • Constructions and Transformations
  • Perimeter of a Plane Figure
  • Area of a Plane Figure
  • Surface Area
  • Volume
  • Conic Sections
 
 
 
 
 
 
 
 

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Earn your credit in 4 simple steps

Step 1
Register and enroll in your course via Westcott Courses.

Step 2
Once you enroll, Westcott Courses will forward your registration to Brandman University.

Step 3
You will be working directly with Westcott Courses from the beginning to end of the course.

Step 4
Once your course is completed, your grade will be posted with Brandman University and you can then order a transcript.


Resources

Syllabus

How it Works

These individual courses are available to anyone in the public who would like to enroll in a math or general education course. Unlike traditional colleges where one must enroll in a degree granting program, Westcott Courses offers individual courses where filling out a one page form makes the course immediately available. Westcott Courses is the teacher of the course and your official transcript with academic semester credits will come from one of our partner universities which are regionally accredited by WASC. Westcott Courses does not appear on the transcript; the transcript will show our courses the same way it would show a traditional class taken on the universities campus without being enrolled as a regular student. View transferring the credits.


Teachers for the Course

The classes are self-paced; however, a teacher is attached to each course who holds at least a master's degree in their field of study (or related). Most of our teachers are teachers who teach the exact same course on either a California State University or California Community college campus.


Omega MathTM Courses

Courses that have the trademark of "Omega MathTM Courses", are courses that have been written by our Omega Math team, and have a format that students love! These courses contain all the lessons, homework, solution manuals, quizzes, tests and the final. Students can take each test and quiz twice, and only the higher of the two scores counts towards their grade. This feature enables students to figure out what they did wrong before pushing forward, providing them with a deeper understanding of the course material.

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