# Mathematics 135

MATH 135
Fundamentals of Geometry

1. Catalog Entry

MATH 135
Fundamentals of Geometry

Credit hours (3)
Prerequisites: MATH 122 or Math Major or permission of instructor

The course introduces core concepts and principles of Euclidean geometry.  Emphases are placed on the use of spatial visualization and geometric modeling using software and/or physical models to explore and analyze geometric structures and their properties both from formal and informal perspectives.  Course content adheres to the current National Council of Teachers of Mathematics Standards and may include the Virginia Standards of Learning where they can appropriately be applied.

Note: Students who have earned credit for MATH 335 may not subsequently earn credit for MATH 135.

2. Detailed Description of Course

Course content includes:
1) Axiomatic Systems
2) Geometric Constructions
3) Angles
4) Coordinate Geometry
5) Parallel and Perpendicular Lines
6) Polygons
7) Circles
8) Tessellations
9) Trigonometric relationships
10)Measurements such as perimeter, area, and volume
11)Transformational Geometry
12)Special Topics

3. Detailed Description of Conduct of Course

Course instructors will emphasize building conceptual understanding within and between concepts discussed in class and on improving deductive reasoning skills.  This may be completed with the use of various instructional methods such as cooperative/group learning activities, student presentations, small group and whole class discussions and questioning, and student explorations of geometric concepts using manipulatives and technology.

4. Goals and Objectives of the Course

The primary goal is to build a foundational knowledge of geometry that is necessary for students pursuing a career in K-12 education.  In addition, this course will emphasize preparing students to improve their problem-solving strategies by helping them think critically and creatively about ideas, issues, and problems within geometry. Upon successful completion of this course, students will:
1) Perform investigations of geometry  using appropriate software and/or physical models
2) Construct direct and indirect geometric proofs related to the concepts of the course
3) Develop a deeper understanding of axiomatic reasoning and its role in developing mathematical concepts
4) Understand the connections between the geometric concepts, procedures, and applications taught within the course
5) Construct logical and persuasive arguments of geometric concepts

5. Assessment Measures

Graded tasks may include homework, quizzes, and written exams. They may also include writing assignments, self or peer assessments, individual or group projects or presentations, and class participation.

6. Other Course Information

None

Review and Approval

June 20, 2015