Program content: c1994.; Lectures run approx. 30 min. each.; The Teaching Company: Course no. 105 (disc surfaces), PD105-01--PD105-03 (DVD containers), 105 (course guidebook, p. [4] of cover).; In 3 containers.
CONTENTS NOTE
Text of Note
Part 1. Disc 1. Fundamental geometric concepts ; Angles and angle measure ; Inductive reasoning and deductive reasoning ; Preparing logical reasons for a two-column proof ; Planning proofs in geometry. Disc 2. Parallel lines and planes ; Triangles ; Polygons and their angles ; Congruence of triangles ; Variations of congruent triangles --; Part 2. Disc 3. More theorems related to congruent triangles ; Medians, altitudes, perpendicular bisectors, and angle bisectors ; Parallelograms ; Rectangles, rhombuses, and squares ; Trapezoids, isosceles trapezoids, and kites. Disc 4. Inequalities in geometry ; Ratio, proportion, and similarity ; Similar triangles ; Right triangles and the Pythagorean theorem ; Special right triangles --; Part 3. Disc 5. Right-triangle trigonometry ; Applications of trigonometry in geometry ; Tangents, arcs, and chords of a circle ; Angles and segments of a circle ; The circle as a whole and its parts. Disc 6. The logic of constructions through applied theorems (part I) ; The logic of constructions through applied theorems (part II) ; Areas of polygons ; Prisms, pyramids, and polyhedra ; Cylinders, cones, and spheres.
SUMMARY OR ABSTRACT
Text of Note
Thirty lectures on geometry presented by James Noggle, math instructor at Pendleton Heights High School in Pendleton, Indiana and recipient of the Tandy Technology Scholar Award for academic excellence in mathematics, science, and computer science. Topics covered in lectures: postulates; proofs; triangles; congruence and similarity; parallel lines; quadrilaterals; right triangles; circles; area; coodinate geometry; solids; constructions; and introduction to non-Euclidean geometries.