Table of Contents

• Geometry
  • • Chapter One – Sensorial Exploration of Shapes
      • Introduction to Geometry
      • The Geometry Cabinet
        • Introduction
        • Presentation tray
        • Triangles
        • Rectangles
        • Regular Polygons
        • Circles
        • Other figures
      • Constructive Triangles – First Series
        • First box
        • Second box – Construction of Quadrilaterals
        • Second box – Heads and Tails
        • Trapezoid
        • Third Box
    • Chapter Two – Knowledge of Plane Figures and Details
      • Introduction
      • Fundamental Concepts
      • Lines
        • Types of lines
        • Parts of a straight line
        • Positions of a straight line
        • Horizontal line – curved or straight?
        • Straight line in a horizontal plane
        • Two straight lines lying in a plane – coplanar lines
        • Divergent and Convergent Lines
        • Oblique and perpendicular lines
        • Two straight lines crossed by a transversal
        • Two parallel straight lines crossed by a transversal
      • Angles
        • Types of Angles and the Parts of an Angle
        • Study of angles
        • Vertical or Opposite Angles
        • Measurement of Angles
          • Presentation of the Montessori protractor
          • Use of the Protractor
            • Operations with Angles
              • Addition
              • Subtraction
              • Multiplication
              • Division – Bisecting an Angle
              • Exercises in measurement and drawing of angles
        • Convex and reflex angles
        • Research in the environment
        • A new definition of an angle
      • Plane Figures – Difference Between Closed Curve Figures and Polygons
        • Classification Exercises
          • Classification of closed curve regions and polygons
          • A sensorial classification of convex and concave (re-entrant)
          • Closed curve regions/polygons – convex/concave
      • Polygons – Triangles
        • Triangles – Classification
        • Triangles – Parts of the triangle
        • Special nomenclature of the right-angled triangle
      • Study of Quadrilaterals
        • Classification
        • Quadrilaterals – Types of trapezoids
        • Quadrilaterals – Classification according to set theory
        • Parts of the Quadrilateral
      • Polygons With More Than 4 Sides
        • Parts of Polygons
      • Comparative Examination of Polygons
        • Study of the apothem
        • The polygon in relation to the first circle
        • The polygon in relation to the 2nd circle
        • The polygon in relation to the 1st and 2nd circles simultaneously
      • From Irregular to Regular Polygons
      • Construction of Polygons
      • Circle – Level One
        • Circle and its parts
        • Relationship between a circumference and a straight line
        • Relationship between two circumferences
        • Relationship between a circumference and a straight line
        • Relationship between two circumferences
    • Chapter Three – Congruency, Similarity and Equivalence
  • • Introduction to the Material – Squares
    • Presentation of the Material – Triangles
    • Presentation of the Concepts
      • Similarity
      • Equivalence
    • Concepts in Action – Constructive Triangles – Second Series
      • Triangular box
      • Large hexagonal box
      • Smaller hexagonal box
      • Relationship between T1 and T2
      • Difference and ratios between similar figures
      • Sensorial demonstration of the difference between H1 and H2
      • Equivalence between two rhombi
      • Equivalence between the trapezoid and T2
      • Ratio between circumscribing and inscribed figures