Topics

Positional properties

Part I:
  • Point, line, and plane in space
  • Mutual position of points, lines, and planes
Part II:
  • Imagination in space
  • Solid nets
Part III:
  • Cross-sections of cube and pyramid
  • Intersections of line with cube and pyramid surfaces

Metric properties

Part I:
  • Word description of angles in a cube
  • Cube – distances of points, lines, planes
  • Cube – angles between lines, planes
  • Cuboid - distances of points, lines, planes
  • Cuboid – angles between lines, planes
Part II:
  • Word description of angles in a pyramid
  • Square pyramid – distances of points, lines, planes
  • Square pyramid - angles between lines, planes
  • Cone - angles
Part III:
  • Regular right hexagonal prism - distances and angles
  • Hexagonal pyramid – distances and angles
  • Tetrahedron - distances and angles

Volume and surface of solids

Part I:
Computation of volumes and surfaces
  • Cube
  • Cuboid
Part II:
Computation of volumes and surfaces
  • Cone
  • Cylinder
  • Sphere
  • Three or four sided pyramid
  • Right triangular or rectangular prism
Part III:
Computation of volumes and surfaces
  • Truncated pyramid
  • Truncated cone
  • Regular right hexagonal prism
  • Regular hexagonal pyramid