6-9 Geometry Album Contents

Table of Contents

  • Geometry
      • Chapter One – Sensorial Exploration of Shapes
      • 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

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