# 6-9 Geometry Album 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
• 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
• Classification
• Quadrilaterals – Types of trapezoids
• Quadrilaterals – Classification according to set theory
• 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