Geometry

  1. Three-Dimensional Geometry
    1. Introduction to Solid Geometry
      1. Three-Dimensional Space
        1. Planes in Space
          1. Lines and Planes in Space
          2. Classification of Solids
            1. Polyhedra
              1. Definition and Properties
                1. Faces, Edges, and Vertices
                  1. Convex vs Concave Polyhedra
                  2. Prisms
                    1. Definition and Properties
                      1. Types of Prisms
                        1. Right Prisms
                          1. Oblique Prisms
                            1. Regular Prisms
                            2. Bases and Lateral Faces
                            3. Pyramids
                              1. Definition and Properties
                                1. Types of Pyramids
                                  1. Right Pyramids
                                    1. Oblique Pyramids
                                      1. Regular Pyramids
                                      2. Base and Lateral Faces
                                        1. Apex and Slant Height
                                        2. Cylinders
                                          1. Definition and Properties
                                            1. Right vs Oblique Cylinders
                                              1. Bases and Lateral Surface
                                              2. Cones
                                                1. Definition and Properties
                                                  1. Right vs Oblique Cones
                                                    1. Base, Apex, and Slant Height
                                                    2. Spheres
                                                      1. Definition and Properties
                                                        1. Center and Radius
                                                          1. Great Circles
                                                        2. Euler's Formula
                                                          1. Statement of Euler's Formula
                                                            1. Applications to Polyhedra
                                                              1. Verification with Common Solids
                                                              2. Nets and Cross-Sections
                                                                1. Nets of Three-Dimensional Figures
                                                                  1. Creating Nets
                                                                    1. Identifying Solids from Nets
                                                                    2. Cross-Sections of Solids
                                                                      1. Plane Intersections
                                                                        1. Types of Cross-Sections
                                                                      2. Surface Area
                                                                        1. Concept of Surface Area
                                                                          1. Surface Area of Prisms
                                                                            1. Lateral Area and Total Area
                                                                              1. Formula Development
                                                                              2. Surface Area of Cylinders
                                                                                1. Lateral Area and Total Area
                                                                                  1. Formula Development
                                                                                  2. Surface Area of Pyramids
                                                                                    1. Lateral Area and Total Area
                                                                                      1. Using Slant Height
                                                                                      2. Surface Area of Cones
                                                                                        1. Lateral Area and Total Area
                                                                                          1. Using Slant Height
                                                                                          2. Surface Area of Spheres
                                                                                            1. Formula and Applications
                                                                                          3. Volume
                                                                                            1. Concept of Volume
                                                                                              1. Volume of Prisms
                                                                                                1. Base Area times Height
                                                                                                2. Volume of Cylinders
                                                                                                  1. Base Area times Height
                                                                                                  2. Volume of Pyramids
                                                                                                  3. Volume of Cones
                                                                                                  4. Volume of Spheres
                                                                                                    1. Formula and Applications
                                                                                                  5. Similar Solids
                                                                                                    1. Definition of Similar Solids
                                                                                                      1. Scale Factor in Three Dimensions
                                                                                                        1. Ratios of Linear Dimensions
                                                                                                          1. Ratios of Surface Areas
                                                                                                            1. Ratios of Volumes
                                                                                                              1. Applications of Similar Solids

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                                                                                                            12. Coordinate Geometry