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
 Operations with 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 (reentrant)
 Closed curve regions/polygons – convex/concave
 Classification Exercises
 Polygons – Triangles
 Triangles – Classification
 Triangles – Parts of the triangle
 Special nomenclature of the rightangled 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
 Chapter One – Sensorial Exploration of Shapes

 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

Leave A Comment?