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High School Level—Geometry
Course No. 105 (30 lectures, 30 minutes/lecture)
Taught by James Noggle
Pendleton Heights High School, Pendleton, Indiana
M.Ed., Ball State University

Course Lecture Titles
1. Fundamental Geometric Concepts
2. Angles and Angle Measure
3. Inductive Reasoning and Deductive Reasoning
4. Preparing Logical Reasons for a Two-Column Proof
5. Planning Proofs in Geometry
6. Parallel Lines and Planes
7. Triangles
8. Polygons and Their Angles
9. Congruence of Triangles
10. Variations of Congruent Triangles
11. More Theorems Related to Congruent Triangles
12. Median, Altitudes, Perpendicular Bisectors, and Angle Bisectors
13. Parallelograms
14. Rectangles, Rhombuses, and Squares
15. Trapezoids, Isosceles Trapezoids, and Kites
16. Inequalities in Geometry
17. Ratio, Proportion, and Similarity
18. Similar Triangles
19. Right Triangles and the Pythagorean Theorem
20. Special Right Triangles
21. Right-Triangle Trigonometry
22. Applications of Trigonometry in Geometry
23. Tangents, Arcs, and Chords of a Circle
24. Angles and Segments of a Circle
25. The Circle as a Whole and Its Parts
26. The Logic of Constructions through Applied Theorems (Part I)
27. The Logic of Constructions through Applied Theorems (Part II)
28. Areas of Polygons
29. Prisms, Pyramids, and Polyhedra
30. Cylinders, Cones, and Spheres