ATAM 1170 - Mathematics - Geometry

Credits: 2.00
(2 contact hrs)
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. South Campus.

Pre & Co Requisite(s): Prerequisite: ATAM-1160 or consent of apprenticeship coordinator

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

Objectives:

Define the axioms and definitions in geometry for geometric angle measurement with 80% accuracy.
Using the propositions of geometry angular theorems, solve angular geometry problems with 80% accuracy.
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:

Using the specific proposition of geometry, solve problems using the Pythagorean theorem with 80% accuracy.
Using the related propositions of geometry, solve problems using the projection formula with 80% accuracy.
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:

Using the related propositions of geometry, solve mechanical problems with inscribed circles in triangles with 80% accuracy.
Using the related propositions of geometry, solve mechanical problems with tangents and intersecting chords with 80% accuracy.
Using the related propositions of geometry, solve mechanical problems with areas and volumes with 80% accuracy.

COMMON DEGREE OUTCOMES
(Bulleted outcomes apply to the course)

1. The graduate can integrate the knowledge and technological skills necessary to be a successful learner.

2. The graduate can demonstrate how to think competently.

3. The graduate can demonstrate how to employ mathematical knowledge.

The graduate can demonstrate how to communicate competently.

The graduate is sensitive to issues relating to a diverse, global society.

COURSE CONTENT OUTLINE

Introduction to Geometry, Axioms, Definitions, Points, Lines, Angles, Plane Figures
Propositions 1-10: Opposite and Vertical Angles, Congruency, Parallel and Perpendicular Lines and Sum of the Interior Angles of a Triangle = 180°
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
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
Proposition 31: Pythagorean Principles
Proposition 32: Projection Formulas
Propositions 33-37: Definitions #35-50 on Circles, Chords, Arcs, Diameter, Radius, Tangents, Secants, Central Angles, Inscribed Angles, and Polygons
Propositions 38-40: Inscribed Circles in Right Triangles and Inscribed Angle of Measure
Propositions 41-46: Square Inscribed in a Circle, Regular Hexagon Inscribed in a Circle, Circles, Tangents, External and Internal and Intersecting Chords
Area and Volume Formulas of Planes and Solid Figures

Primary Faculty
Gordon, Victoria
Secondary Faculty

Associate Dean
Pawlowski, Timothy

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