8/9/2019 Math 230 Lectures and Activities
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Math 230 Dr. Perdue
Lectures:1. Course introduction: Blackboard, van Hiele levels,
beliefs / affects,
methodology2. Nth term: mathematical modeling, diagonals,
exterior angle sum, interior
angle sum
3. Theorems of Lines, triangles, polygons: parallel &
perpendicular lines,slope, angles formed by parallel lines cut by a
transversal, triangledefinitions, triangle theorems (sides, sums,
congruence), polygondefinitions, polygon theorems (sums,
diagonals)
4. Algebra review: midpoint, slope, distance, linear equations5.
Axiomatic systems: Euclids & non-Euclidean (Riemann &
Lobachevsky)6. Reasoning: inductive & deductive reasoning,
logic7. Proofs: types of, how to
Activities :
1. This is a Mingo: geometric definitions2. Handshake problem:
geometric modeling3. Picks Formula: area of polyhedra4.
Constructions I: compass & straightedge5. Constructions II:
symmetry, patty paper reflections & constructions6. Triangles
I: sum & sides theorems7. Triangles II: points of concurrency8.
Congruent triangles: CPCTC9. Lateral Logic Puzzles: introduction to
logic & proof10. Hypatia Airlines: introduction to proof11.
Buffons Needle: pi explorations including measuring circles12.
Proof practice: self explanatory13. Eulers Formula: polyhedral
relationships
