MATH 111 - Fundamentals of Geometry and Measurement

Number of Credits: 4
Investigate plane and solid geometry and measurement through the study of circles, polygons, triangle congruence and similarity, coordinate geometry, and transformations. Describe metric and English systems, dimensional analysis, and constructions with an emphasis on problem solving, educating elementary, middle, and high school students, and appropriate use of technology including calculators and computer applications. (Fall, Spring & Summer Only) Four hours lecture each week. Four Credits. Four billable hours.

GENERAL EDUCATION Category: Mathematics

Pre-requisite(s): eligibility for ENGL 101, plus exemption from or completion of MAT 094 , MAT 095 or MAT 099 with a minimum grade of C, a satisfactory MATH placement measure, or any college level MATH course.
Course Topics:

Geometric vocabulary
2-D and 3-D shapes
Geometric properties
Coordinate geometry
Transformations of shapes
Units of measurement
Solve real-world problems
Scale factors and rates
Student misconceptions related to topics in Geometry

Course Objectives: Upon successful completion of this course, students will be able to:

Describe and classify a variety of 2-D and 3-D shapes, noting their properties and relationships using mathematical vocabulary. (GE1, GE2, GE3)
Make and test conjectures about geometric properties and relationships and develop logical arguments to justify conclusions. (GE1, GE2, GE3)
Describe location, movement, congruence, and similarity using common language and geometric vocabulary. (GE1, GE2, GE3)
Represent and examine the properties of geometric shapes using coordinate geometry. (GE2)
Describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and dilations. (GE2)
Identify 3-D object from a 2-D representation (and vice versa). (GE2)
Given geometric models, select and apply appropriate units, tools, and algebraic processes to accurately measure and solve problems in number, length, area, volume, and angles to appropriate levels of accuracy using both standard and nonstandard units. (GE2)
Describe metric and customary systems of measure, convert between units within the metric system, and make reasonable estimates of measurement. (GE2, GE3)
Develop and use formulas for determining circumference, perimeter, area, volume, of geometric figures. (GE2)
Solve problems involving scale factors and rates. (GE2)
Identify and correct common student misconceptions related to topics in Geometry. (GE1, GE2, GE3)