ATAM 1170 - Mathematics-Geometry

Credit Hours: 2.00

Objectives:

1. Define the axioms and definitions in geometry for geometric angle measurement.
2. Using the propositions of geometry angular theorems, solve angular geometry problems.
3. Using the propositions of geometry of interior angles and triangles, solve geometry problems.

Outcome 2: Upon completion of this course, the learner will be able to describe applications in applying geometry propositions for problem solution.

Objectives:

1. Using the specific proposition of geometry, solve problems using the Pythagorean theorem.
2. Using the related propositions of geometry, solve problems using the projection formula.
3. Using the related propositions of circular geometry, solve circular problems.

Outcome 3: Upon completion of this course, the learner will be able to describe applications in applying geometry to solve mechanical problems.

Objectives:

1. Using the related propositions of geometry, solve mechanical problems with inscribed circles in triangles.
2. Using the related propositions of geometry, solve mechanical problems with tangents and intersecting chords.
3. Using the related propositions of geometry, solve mechanical problems with areas and volumes.

• Communication: The graduate can communicate effectively for the intended purpose and audience.
• Critical Thinking: The graduate can make informed decisions after analyzing information or evidence related to the issue.
• Global Literacy: The graduate can analyze human behavior or experiences through cultural, social, political, or economic perspectives.
• Information Literacy: The graduate can responsibly use information gathered from a variety of formats in order to complete a task.
• Quantitative Reasoning: The graduate can apply quantitative methods or evidence to solve problems or make judgments.
• Scientific Literacy: The graduate can produce or interpret scientific information presented in a variety of formats.

1. Introduction to Geometry, Axioms, Definitions, Points, Lines, Angles, Plane Figures
2. Propositions 1-10: Opposite and Vertical Angles, Congruency, Parallel and Perpendicular Lines and Sum of the Interior Angles of a Triangle = 180°
3. Propositions 11-15: Sum of Interior Angles = (N-2) x 180. Interior Angles = Sum of Opposite Interior Angles, Angles Equal if Sides Parallel Right to Right and Left to Left
4. Propositions 16-30: Angles Equal - Sides Perp rt/rt/lt/lt Isosceles Triangles, Congruent rt, Triangles, Sets of Parallel Lines Cut by Transversal and Similar Triangles
5. Proposition 31: Pythagorean Principles
6. Proposition 32: Projection Formulas
7. Propositions 33-37: Definitions #35-50 on Circles, Chords, Arcs, Diameter, Radius, Tangents, Secants, Central Angles, Inscribed Angles, and Polygons
8. Propositions 38-40: Inscribed Circles in Right Triangles and Inscribed Angle of Measure
9. Propositions 41-46: Square Inscribed in a Circle, Regular Hexagon Inscribed in a Circle, Circles, Tangents, External and Internal and Intersecting Chords
10. Area and Volume Formulas of Planes and Solid Figures