Course Description

A deep examination of geometry topics designed for secondary mathematics teachers. Pedagogical and instructional strategies will accompany investigation of concepts of geometry. Reasoning and proof will provide a foundation for geometric explorations.

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Athena Title

MKT: Geometric Reasoning

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Non-Traditional Format

This course will be taught 95% or more online.

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Semester Course Offered

Offered spring

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Grading System

A - F (Traditional)

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Student learning Outcomes

• Students will understand how to use dynamic software to test conjectures and conduct geometric investigations.
• Students will understand how to use tools and technology to perform geometric constructions based on properties.
• Students will understand how to apply geometric concepts in modeling situations.
• Students will understand how to derive and explain geometric formulas such as area and volume.
• Students will understand how to prove theorems involving similarity and congruence.
• Students will understand how to connect Euclidean properties to coordinate geometry.

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Topical Outline

• Euclidean geometry including congruence and similarity
• Geometric transformations
• Axiomatic systems
• Constructions
• Pythagorean Theorem
• Measurement
• Connections to algebra
• Conjecturing, reasoning, and proof
• Optional extensions include fractals, tiling, robotics, and visualization

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Syllabus

Select Faculty / Instructor to download syllabus:   Byerley, Cameron   Zhuang, Luke (73642)

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Public CV

Select a file to download:   Byerley, Cameron   Zhuang, Luke

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