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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
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