Yuba Community College District
Yuba College Course Outline
Course Information
Course Number:
MATH 51
Full Course Title:
Plane Geometry
Short Title:
Plane Geometry
Effective Term:
Fall 2012
Course Standards
Lecture Hours:
54.000
Total Units:
3.000
Total Hours:
54.00
Repeatable:
No
Grading Method:
Letter Grade Only
Course Description
Introductory plane geometry, the study of geometric relationships in the plane from inductive and deductive viewpoints. Satisfies the university admission requirements of high school plane geometry. (L,M)Conditions of Enrollment
Completion with a C or better in: MATH 50
Advisories

Language  recommended eligibility for English 1A

Mathematics  recommended eligibility for Math 52
Content
Course Lecture Content
 Discovering geometric relationships.
 Parallel line relationships.
 Inequality relationships in triangles.
 Angle relationships in polygons.
 Geometric proof using triangles.
 Right triangle relationships.
 Properties of parallelograms.
 Straightedge and compass constructions.
 Areas and volumes
 Pythagora's theorem
 Similarity relationships in polygons.
 Circle relationships.
 Coordinate geometry including conics.
Objectives

Describe inductive and deductive reasoning.

Use inductive reasoning to discover relationships.

Use deductive reasoning in proofs.

Recognize geometric relationships of congruent and similar figures, polygons, parallel and perpendicular lines, and right triangles in a variety of problems.

Use a straightedge and compasses to perform basic geometry constructions.

Compute areas and volumes of plane and space figures.

Calculate various dimensions using Pythagora's theorem in right triangles and related figures.

Identify properties of a trapezoid, rhombus, rectangle, and square.

Recognize and prove circle relationships.

Develop geometric relationships in the coordinate plane.

Use inductive reasoning to discover relationships.
**Requires Critical Thinking**

Compute areas and volumes of plane and space figures.
**Requires Critical Thinking**

Identify properties of a trapezoid, rhombus, rectangle, and square.
**Requires Critical Thinking**
Student Learning Outcomes
 Critical Thinking – Identify the appropriate definition, postulate, or theorem that justifies a statement in a proof.
Methods of Instruction

Lecture/Discussion
Assignments
Hours per week on assignments outside of the class:
Methods of Evaluation
 Exams
 Homework
 Oral Tests/Class Performance
 Quizzes

OtherSkills test
Course Materials
Textbooks:

Alexander and Koeberlein. Elementary Geometry for College Students, Brooks/Cole, 2011, ISBN: 13: 9781439047903
Other:
 Straightedge, compasses, protractor.
 Scientific calculator: Texas Instruments TI30X IIS or equivalents.