MATH 111 - Fundamentals of Geometry and Measurement

Number of Credits: 4
Fundamentals of Geometry and Measurement is intended for, but not limited to, students in the education major. Topics covered include plane and solid geometry, as well as standard and non-standard measurement. Geometry topics include circles, polygons, triangle congruence and similarity, coordinate geometry, and transformations. Measurement topics include metric and English systems, dimensional analysis, and constructions. The course emphasizes problem solving; educating elementary, middle, and high school students; and appropriate use of technology, including calculators and computers. Calculator with arithmetic functions, a compass, straight-edge, and ruler are required (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 a satisfactory placement test score or completion of MAT 095 or MAT 099 with a minimum grade of C or better or any college level MATH course.
Course Objectives: Upon successful completion of this course, students will be able to:

Using mathematical vocabulary, describe and classify a variety of 2-D and 3-D shapes, noting their properties and relationships. (GE1, GE2, GE3)
Make and test conjectures about geometric properties and relationships and develop logical arguments to justify conclusions. (GE1, GE2, GE3)
Describe location and movement using common language and geometric vocabulary. (GE1, GE2, GE3)
Use coordinate geometry to represent and examine the properties of geometric shapes. (GE2)
Describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides and scaling. (GE2)
Describe congruence, similarity, and line rotational symmetry. (GE1, GE2, GE3)
Identify and build 3-D object from a 2-D representation (and vice versa). (GE2)
Use geometric models to solve problems in number, area, volume and algebra. (GE2)
Use both standard and nonstandard units for measuring length, area, volume, weight, time and temperature. (GE2)
Describe metric and customary systems of measure. (GE2)
Convert between units within the metric system. (GE2)
Make reasonable estimates of measurement. (GE2, GE3)
Select and apply appropriate units and tools to accurately measure length, area, volume, weight, time, temperature, angles to appropriate levels of accuracy. (GE2)
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)