12/6/2024 7:18:17 PM |
| Inactive Course |
CATALOG INFORMATION
|
Discipline and Nbr:
MATH 60 | Title:
GEOMETRY/LIBERAL STUDIES |
|
Full Title:
Geometry for Liberal Studies |
Last Reviewed:11/24/2003 |
Units | Course Hours per Week | | Nbr of Weeks | Course Hours Total |
Maximum | 3.00 | Lecture Scheduled | 3.00 | 17.5 max. | Lecture Scheduled | 52.50 |
Minimum | 3.00 | Lab Scheduled | 0 | 17.5 min. | Lab Scheduled | 0 |
| Contact DHR | 0 | | Contact DHR | 0 |
| Contact Total | 3.00 | | Contact Total | 52.50 |
|
| Non-contact DHR | 0 | | Non-contact DHR Total | 0 |
| Total Out of Class Hours: 105.00 | Total Student Learning Hours: 157.50 | |
Title 5 Category:
AA Degree Applicable
Grading:
Grade or P/NP
Repeatability:
00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:
Catalog Description:
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This course is a study of Euclidean geometry, emphasizing its structure as a logical system. Recommended for liberal studies and elementary education students.
Prerequisites/Corequisites:
Math 155.
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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This course is a study of Euclidean geometry, emphasizing its structure as a logical system. Recommended for liberal studies and elementary education students.
(Grade or P/NP)
Prerequisites:Math 155.
Recommended:
Limits on Enrollment:
Transfer Credit:
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP
ARTICULATION, MAJOR, and CERTIFICATION INFORMATION
Associate Degree: | Effective: | | Inactive: | |
Area: | | |
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CSU GE: | Transfer Area | | Effective: | Inactive: |
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IGETC: | Transfer Area | | Effective: | Inactive: |
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CSU Transfer: | | Effective: | | Inactive: | |
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UC Transfer: | | Effective: | | Inactive: | |
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C-ID: |
Certificate/Major Applicable:
Major Applicable Course
COURSE CONTENT
Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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Upon successful completion of the course, students will be able to:
1. Define a mathematical system
2. Apply inductive reasoning to plane figures
3. Apply deductive reasoning to proofs of theorems
4. Define congruent and similar triangles
5. Define parallel and perpendicular lines
6. Apply perimeter and area formulas
7. Apply rigid transformations
8. Define tessellations
9. Apply volume and surface area formulas
10.Apply geometry software
Topics and Scope
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I. Basic Concepts
A. Structure of a Mathematical System
1. Undefined terms
2. Theorems and proofs
B. Angles
C. Compass and straightedge constructions
II. Perpendicular and Parallel Lines
A. Definitions and properties
B. Triangle angle sum theorem
III. Triangles and Circles
A. Congruence conditions for triangles
B. Similar triangles
C. Pythagorean theorem
D. Circle theorems
IV. Plane Figures
A. Polygons
B. Perimeter
C. Area
V. Transformations
A. Translations
B. Rotations
C. Reflections
VI. Tessellations
VII. Solids
A. Volume
B. Surface area
C. Euler's formula
Assignments:
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1. Weekly reading from the text or instructor prepared materials (20 - 50
pages per week)
2. Assigned problems from the text or instructor prepared materials.
3. Performance exams such as compass and straight-edge constructions.
4. An oral or written project may be assigned.
5. Objective exams.
Methods of Evaluation/Basis of Grade.
Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing. | Writing 1 - 15% |
written report may be assigned | |
Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills. | Problem Solving 25 - 74% |
Homework problems | |
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. | Skill Demonstrations 20 - 40% |
Performance exams | |
Exams: All forms of formal testing, other than skill performance exams. | Exams 5 - 25% |
Multiple choice | |
Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category 0 - 15% |
PROJECT - ORAL OR WRITTEN (optional) | |
Representative Textbooks and Materials:
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Geometry, An Investigative Approach, O'Daffer Clemens (2nd), Addison
Wesley, 1992
Geometry and Its Applications, Walter Meyer, Academic Press, 1999
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