Table of Contents
- Geometry
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- 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 (re-entrant)
- Closed curve regions/polygons – convex/concave
- Classification Exercises
- 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
- Chapter One – Sensorial Exploration of Shapes
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- 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
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