Geometry

Positional properties

A:

  • Point and line in a plane
  • Mutual position of lines in plane
  • Mutual position of line and circle
  • Mutual position of two circles

B:

  • Mutual position of lines in space
  • Mutual position of line and plane
  • Mutual position of two (three) lines
  • Cross-sections of cube and pyramid
  • Intersections of line with cube and pyramid surfaces

C:

-

Metric properties

A:

  • 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

B:

  • Word description of angles in a pyramid
  • Square pyramid – distances of points, lines, planes
  • Square pyramid - angles between lines, planes
  • Cone - angles

C:

  • Regular right hexagonal prism - distances and angles
  • Hexagonal pyramid – distances and angles
  • Tetrahedron - distances and angles

Volume and surface of solids

A:

Computation of volumes and surfaces
  • Cube
  • Cuboid

B:

Computation of volumes and surfaces
  • Cone
  • Cylinder
  • Sphere
  • Three or four sided pyramid
  • Right triangular or rectangular prism

C:

Computation of volumes and surfaces
  • Truncated pyramid
  • Truncated cone
  • Regular right hexagonal prism
  • Regular hexagonal pyramid

Geometric mappings

A:

  • Point symmetry
  • Line symmetry (reflection symmetry)

B:

  • Translation
  • Rotation

C:

  • Dilation