Mathematical Tools in GeoGebra 2025

K.KUMARAVELU, Oct 5, 2025

The One-Day Workshop on Mathematical Tools in GeoGebra helps students explore how mathematics can be visualized using digital tools. Through hands-on activities, participants will learn to use GeoGebra to understand mathematical concepts more clearly and develop problem-solving skills in an interactive way.

Table of Contents

  1. Introduction
    1. Key Features of GeoGebra
    2. Key Features of GeoGebra (For Students)
    3. Key Features of GeoGebra with Examples
  2. Dynamic Geometry – Constructing a Triangle
    1. Explore properties of a triangle.
  3. Algebra Integration – Plotting a Line
    1. Link algebra to geometry
  4. Graphing Tools – Parabola
    1. Understand roots, vertex, and shape.
  5. Calculus Tools – Derivatives
    1. Visualize slope and critical points.
  6. Statistics & Probability – Bar Chart
    1. Analyze and visualize data.
  7. 3D Graphics – Constructing a Cone
    1. Explore 3D shapes and volume.
  8. Sliders & Animations – Parabola Transformation
    1. Explore parameter effects
  9. Transformations of Shapes – Reflection & Rotation
    1. Explore symmetry and transformations
  10. Conic Sections – Circle, Ellipse, Parabola, Hyperbola
    1. Explore properties of conic sections dynamically.
  11. Vectors & Vector Operations
    1. Visualize vectors and vector operations.
  12. Circle & Tangents
    1. Explore tangents and radius relationships.
  13. Intersection Points
    1. Find intersections of lines, curves, or shapes
  14. Function Transformation
    1. Explore shifting, stretching, and reflecting functions.
  15. Tangent & Normal to Curves
    1. Explore slope concepts

1.

Introduction

GeoGebra is a free, open-source mathematics software that integrates geometry, algebra, statistics, and calculus into one dynamic environment. It allows users to create interactive constructions, explore mathematical relationships, and visualize complex concepts easily. Used by educators and students around the world, GeoGebra supports active learning and promotes technology-based mathematics education.

  • 1. Key Features of GeoGebra
  • 2. Key Features of GeoGebra (For Students)
  • 3. Key Features of GeoGebra with Examples

1.1.

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1.2.

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1.3.

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2.

Dynamic Geometry – Constructing a Triangle

  • 1. Explore properties of a triangle.

2.1.

–

3.

Algebra Integration – Plotting a Line

  • 1. Link algebra to geometry

3.1.

–

4.

Graphing Tools – Parabola

  • 1. Understand roots, vertex, and shape.

4.1.

–

5.

Calculus Tools – Derivatives

  • 1. Visualize slope and critical points.

5.1.

–

6.

Statistics & Probability – Bar Chart

  • 1. Analyze and visualize data.

6.1.

–

7.

3D Graphics – Constructing a Cone

  • 1. Explore 3D shapes and volume.

7.1.

–

8.

Sliders & Animations – Parabola Transformation

  • 1. Explore parameter effects

8.1.

–

9.

Transformations of Shapes – Reflection & Rotation

  • 1. Explore symmetry and transformations

9.1.

–

10.

Conic Sections – Circle, Ellipse, Parabola, Hyperbola

  • 1. Explore properties of conic sections dynamically.

10.1.

–

11.

Vectors & Vector Operations

  • 1. Visualize vectors and vector operations.

11.1.

–

12.

Circle & Tangents

  • 1. Explore tangents and radius relationships.

12.1.

–

13.

Intersection Points

  • 1. Find intersections of lines, curves, or shapes

13.1.

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14.

Function Transformation

  • 1. Explore shifting, stretching, and reflecting functions.

14.1.

–

15.

Tangent & Normal to Curves

  • 1. Explore slope concepts

15.1.

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