MAT 609 Course Syllabus
Part II – Class Agenda
Session I: 5 PM to 10 PM Date: February 8, 2011
Topic: Foundation of geometry, introduction to proofs, triangles, triangle classification, triangle
concurrency theorems, introduction to Geometer’s Sketchpad (GSP). Research paper topics.
Course Number and Title: MAT609 Euclidean Geometry
Required Readings: Chapters 1 – 2 Lial et. al.
Activities and Assignments: Group and individual problem solving, class discussion, work
with paper folding, work with compass and straightedge.
Assessment: Oral presentations of problem solutions, class participation.
Session II: 5 PM to 10 PM
Date: February 22, 2011
Topic: Parallel lines, polygons, symmetry, convexity, introduction to Logo
Required Readings: Chapter 3 Lial et. al., pp. 41 – 43 NCTM
Activities and Assignments: Group and individual problem solving, class discussion, work
with GSP, Logo, and paper folding. Logo demonstration. Viewing of Flatland: The Movie. Oral
presentations of pre-practicum experience.
Assessment: Oral presentations of problem solutions, class discussion. Oral presentations of
pre-practicum experience.
Session III: 5 PM to 10 PM
Date: March 8, 2011
Topic: Quadrilaterals
Required Readings: Chapter 4 Lial et. al., pp. 232 – 239 NCTM
Activities and Assignments: Group and individual problem solving, class discussion, work
with MIRA and GSP. Introduction to Fractals. Viewing of Fractals: Hunting the Hidden
Dimension.
Assessment: Oral presentations of problem solutions, class discussion.
MAT609 Course Syllabus Part II (Class Agenda)
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Session IV: 5 PM to 10 PM
Date: March 22, 2011
Topic: Ratio, proportion, and similarity, right triangles and the Pythagorean theorem.
Required Readings: Chapter 5, Lial et. al.
Activities and Assignments: Group and individual problem solving, class discussion, work
with GSP. Oral presentations of pre-practicum experience.
Assessment: Oral presentations of problem solutions, class participation. Oral presentations of
pre-practicum experience, midterm examination covering Chapters 1 – 3.
Session V: 5 PM to 10 PM
Date: April 5, 2011
Topic: Circles, arcs, chords, secants, tangents, cyclic polygons.
Required Readings: Chapter 6, Lial et. al.
Activities and Assignments: Group and individual problem solving, class discussion, work
with GSP.
Assessment: Oral presentations of problem solutions, class participation.
Session VI: 5 PM to 10 PM
Date: April 26, 2011
Topic: Area of triangles, quadrilaterals, and polygons. Area of circles, sectors, and segments.
Length of arc. Area of compound figures.
Required Readings: Chapter 7, Lial et. al.
Activities and Assignments: Group and individual problem solving, class discussion. Oral
presentations of pre-practicum experience.
Assessment: Oral presentations of problem solutions, class participation. Group presentations.
Oral presentations of pre-practicum experience.
MAT609 Course Syllabus Part II (Class Agenda)
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Session VII: 5 PM to 10 PM
Date: May 10, 2011.
Topic: Solid Geometry: Planes, polyhedra, Euler’s formula, Platonic solids, volume and surface
area formulas.
Required Readings: Chapter 8, Lial et. al.
Activities and Assignments: Group and individual problem solving, class discussion.
Assessment: Oral presentations of problem solutions, class participation, final examination,
optional research paper due May 15, 2011.
MAT609 Course Syllabus Part II (Class Agenda)
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