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GEOMETRY PROGRAM


Elementary school

  • 2D and 3D shapes – attributes and properties 
  • Similarity and congruence 
  • Movement and location
  • Construction of simple geometric shapes
  • Calculation of distances between points
  • Use of coordinate system for the description of paths
  • Rotational symmetry for 2D and 3D shapes 
  • Identification and construction of 3D shapes from the 2D representation of those shapes 
  • Solving problems using geometric relations and models 
  • Combination, subdivision and transformation of shapes 
  • Classification of 2D and 3D shapes

Middle school

  • Congruence and similarity
  • Application of the Pythagoras theorem 
  • Use of coordinate geometry
  • Detailed study of properties of geometrical shapes 
  • Types and properties of 2D and 3D shapes
  • Calculation of surface areas and volumes 
  • Transformations of geometrical figures
  • Construction of geometrical shapes with specified properties
  • Geometric constructions explaining algebraic and numerical relationships
  • Calculation of angles, side lengths and perimeters of geometric figures
  • Calculation of areas, surface areas and volumes of geometric figures 
  • Coordinate geometry for the properties of geometric shapes 
  • Detailed study of regular polygons

High school

  • 2D and 3D shapes – attributes and properties
  • Congruence and similarity
  • Reflections, rotations, dilation and translations of objects 
  • Determination of lengths and measurement of angles using trigonometric functions 
  • Understanding of simple transformations and their compositions 
  • Coordinate system and its types – polar, spherical and navigational
  • Study and application of Cartesian system
  • Establishment of validities of geometrical conjectures
  • Application of geometrical theorems along with their proofs
  • Representations of 2D and 3D geometric objects
  • Study of vertex – graphs
  • Use of geometric models for other areas of mathematics