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Overview of Elementary Studies
Elementary Geometry Studies (6 year cycle)

" The activity of the child has always been looked upon as an expression of his vitality. But his activity is really the work he performs in building up the man he is to become. It is the incarnation of the human spirit."
- Maria Montessori

Geometry has been defined as an awareness of the relationship between man and the objects in his environment. Montessori saw the study of geometry as practical, based on the physical reality of our world. Exploration of these shapes, and their names and structure, provide the ground work for later studies ranging outside the confines of the classroom.

Curriculum Area Lower Elementary, Ages 6-9 Upper Elementary Ages 6-12
 

Sensorial Exploration of Shapes

Sensorial Exploration of Shapes

Lines
  • types of lines
  • parts of lines
  • relationships between lines
  • constructing lines
 
Angles
  • types of angles
  • parts of angles
  • congruency, similarity, equivalence
  • construction
  • relationships between lines
  • relationships between angles
    • complementary
    • supplementary
  • operations with angles
Plane Figures
  • classification of simple polygons
  • study of triangles -
    • types of triangles
    • parts of triangles
  • vocabulary
    • congruency, similarity, equivalence
  • advanced study of triangles
  • measurement & relationships
  • quadrilaterals
    • classification
    • parts of quadrilaterals
  • complex polygons
    • regular and irregular
  • circles
    • parts
    • relationships
  • congruency, similarity, equivalence
Measurement
  • use of rulers
  • perimeter
  • use of ruler, protractor, compass
  • perimeter
  • area
  • volume
  • surface area

 

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