Yuba Community College District

Yuba College Course Outline

### Course Information

Course Number: MATH 51
Full Course Title: Plane Geometry
Short Title: Plane Geometry
TOP Code: 1701.00 - Mathematics, General
Effective Term: Fall 2012

### Course Standards

Course Type: Credit - Degree Applicable
Units: 3.0
Total class hours: 162.0
Total contact hours in class: 54.0
Lecture hours: 54.0
Hours outside of class: 108.0
Repeatable: No

### 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

Satisfactory completion of: MATH 50

• Language - recommended eligibility for English 1A
• Mathematics - recommended eligibility for Math 52

### Content

Course Lecture Content
1. Discovering geometric relationships.
2. Parallel line relationships.
3. Inequality relationships in triangles.
4. Angle relationships in polygons.
5. Geometric proof using triangles.
6. Right triangle relationships.
7. Properties of parallelograms.
8. Straightedge and compass constructions.
9. Areas and volumes
10. Pythagora's theorem
11. Similarity relationships in polygons.
12. Circle relationships.
13. Coordinate geometry including conics.

### Objectives

1. Describe inductive and deductive reasoning.

2. Use inductive reasoning to discover relationships.

3. Use deductive reasoning in proofs.

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

5. Use a straightedge and compasses to perform basic geometry constructions.

6. Compute areas and volumes of plane and space figures.

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

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

9. Recognize and prove circle relationships.

10. Develop geometric relationships in the coordinate plane.

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

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

13. Identify properties of a trapezoid, rhombus, rectangle, and square. **Requires Critical Thinking**

### Student Learning Outcomes

1. Critical Thinking – Identify the appropriate definition, postulate, or theorem that justifies a statement in a proof.

### Methods of Instruction

• Lecture/Discussion

### Methods of Evaluation

• Exams
• Homework
• Oral Tests/Class Performance
• Quizzes
• Other
Skills test

### Course Materials

Textbooks:
1. Alexander and Koeberlein. Elementary Geometry for College Students, Brooks/Cole, 2011, ISBN: 13: 978-1439047903
Other:
1. Straightedge, compasses, protractor.
2. Scientific calculator: Texas Instruments TI-30X IIS or equivalents.