Nov 26, 2021
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# ATAM 1170 - Mathematics-Geometry

Credit Hours: 2.00

Prerequisites: ATAM 1160  or consent of apprenticeship coordinator

Quadratic formula, review solutions, shop formulas. Definitions and description of geometric terms, axioms, and theorems. An explanation is given to propositions dealing with straight lines, triangles, and circles, with emphasis on applications to practical shop problems.

Billable Contact Hours: 2

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OUTCOMES AND OBJECTIVES
Outcome 1: Upon completion of this course, the learner will be able to describe applications of Geometric Propositions.

Objectives:

1. Define the axioms and definitions in geometry for geometric angle measurement with 80% accuracy.
2. Using the propositions of geometry angular theorems, solve angular geometry problems with 80% accuracy.
3. Using the propositions of geometry of interior angles and triangles, solve geometry problems with 80% accuracy.

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 with 80% accuracy.
2. Using the related propositions of geometry, solve problems using the projection formula with 80% accuracy.
3. Using the related propositions of circular geometry, solve circular problems with 80% accuracy.

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 with 80% accuracy.
2. Using the related propositions of geometry, solve mechanical problems with tangents and intersecting chords with 80% accuracy.
3. Using the related propositions of geometry, solve mechanical problems with areas and volumes with 80% accuracy.

COMMON DEGREE OUTCOMES (CDO)
• 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.

CDO marked YES apply to this course:
Communication: YES
Critical Thinking: YES
Quantitative Reasoning: YES
Scientific Literacy: YES

COURSE CONTENT OUTLINE

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

Primary Faculty
Gordon, Victoria
Secondary Faculty

Associate Dean
Pawlowski, Timothy
Dean
Hutchison, Donald

Official Course Syllabus - Macomb Community College, 14500 E 12 Mile Road, Warren, MI 48088