High School Level - Geometry

Locations
Call Number: DVD 516 No Oversize
On Shelf At: Downtown Library

Location & Checkout Length	Call Number	Checkout Length	Item Status
Downtown 1st Floor 6-week checkout	DVD 516 No Oversize	6-week checkout	On Shelf

Lectures run approximately 30 minutes each.
The Teaching Company: Course no. 105 (disc surfaces), PD105 (inner container).
Fundamental geometric concepts -- Angles and angle measure -- Inductive reasoning and deductive reasoning -- Preparing logical reasons for a two-column proof -- Planning proofs in geometry -- Parallel lines and planes -- Triangles -- Polygons and their angles -- Congruence of triangles -- Variations of congruent triangles -- More theorems related to congruent triangles -- Medians, altitudes, perpendicular, and angle bisectors -- Parallelograms -- Rectangles, rhombuses, and squares -- Trapezoids, isosceles trapezoids, and kites -- Inequalities in geometry -- Ratio, proportion, and similarity -- Similar triangles -- Right triangles and the Pythagorean theorem -- Special right triangles -- 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 -- 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.
Lecturer, Professor James Noggle, Pendleton Heights High School.
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.
DVD.

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