MATH 181 - Geometry for K-8 Teachers

5 Credits

This course guides students in examining the ideas and reasoning involved in measurement and Euclidean geometry. Students will also study properties of 2- and 3-dimensional shapes; similarity and congruence; geometric constructions; coordinate geometry; transformations; functions; and will practice communicating mathematical ideas. Topics in probability and statistics will be included if time permits. Recommended for prospective or practicing K-8 teachers.

Pre-requisite(s) MATH 091 min 2.0
Placement Eligibility Math 107, 111, 146, 180, 098
Fees

Quarters Typically Offered
Spring Day

Designed to Serve Elementary education majors, along with interested parents and paraeducators.
Active Date 20210403T10:09:21

Grading System Decimal Grade
Class Limit 32
Contact Hours: Lecture 55
Total Contact Hours 55
Degree Distributions:
AA

Quantitative Skills
Science

ProfTech Related Instruction

Computation

Course Outline

(Throughout the course) Problem solving
State and national standards for mathematics education
Features and classification of two- and three-dimensional shapes (optional: van Hiele levels)
Concept and conversion of units of measurement, including angle measures
Concepts and calculation of length, area, surface area, and volume, including estimation of these for curved objects
Construction of geometric objects via straightedge and compass
Concepts of similarity and congruence, including their role in geometric proofs
Concept and use of coordinates in describing geometric features such as distance and slope (analytic geometry)
Concept and use of transformations in tilings, proofs, and problem solving
Concept and categories of functions
(Optional) The use and effects of current technology on teaching and learning mathematics
(Optional) Probability concepts and calculations involving the additive, multiplicative, and fundamental counting properties as well as mutually exclusive and compound events
(Optional) Statistics concepts including organization and representation of data, as well as measures of center and spread

Student Learning Outcomes
Define the features of 2- and 3-dimensional shapes, and use those features to define and classify a variety of shapes.

Describe and use various measurement systems, including comparing various forms of measurement such as English, metric, and nonstandard units.

Define the concepts of length, area, surface area, and volume, then compute them for a variety of 2-D and 3-D shapes.

Use a straightedge and compass to construct 2-D shapes, then use constructions to demonstrate and justify geometric relationships.

Describe conditions for congruence and similarity of triangles, then use those concepts to prove or justify geometric claims.

Describe distance, circles, slope, and perpendicularity both with and without a coordinate system or algebra.

Define, recognize, and apply basic isometries (rigid motions) and dilations in two-dimensional shapes.

Communicate effectively orally and in writing about the concepts and techniques of the course.

Demonstrate knowledge of some geometry learning outcomes in state and national math standards.

Support or refute claims by making logical arguments involving geometric concepts and techniques.