Intro to Geogebra worksheets - Jose Alvarado R

Jose Alvarado, juliesgotmail, Aug 31, 2015

Selected Sheets for Intro - great resource Thanks Jose!

Table of Contents

  1. Introduction & Installation Drawings vs. Geometric Constructions
    1. Creating drawings with GeoGebra
    2. Drawings, Constructions, and Drag Test
    3. Rectangle Construction
    4. Equilateral Triangle Construction
    5. Challenge of the Day: Isosceles Triangle Construction
  2. Geometric Constructions & Use of Commands
    1. Square Construction
    2. Regular Hexagon Construction
    3. Circumcircle of a Triangle Construction
    4. Visualize the Theorem of Thales
    5. Constructing Tangents to a Circle
    6. Exploring Parameters of a Quadratic Polynomial
    7. Using Sliders to Modify Parameters
    8. Challenge of the Day: Parameters of Polynomials
  3. Algebraic Input, Functions & Export of Pictures to the Clipboard
    1. Parameters of a Linear Equation
    2. Library of Functions – Visualizing Absolute Values
    3. Library of Functions – Superposition of Sine Waves
    4. Introducing Derivatives – The Slope Function
    5. Exploring Polynomials
    6. Inserting Pictures into a Text Processing Document
  4. Transformations & Inserting Pictures into the Graphics View
    1. Creating a ‘Geometric Figures Memory’ Game
    2. Exploring Symmetry with GeoGebra
    3. Resizing, Reflecting and Distorting a Picture
    4. Exploring Properties of Reflection
    5. Translating Pictures
    6. Rotating Polygons
    7. Challenge of the Day: Tiling with Regular Polygons
  5. Inserting Static and Dynamic Text into the GeoGebra’s Graphics View
    1. Coordinates and reflected points
    2. Inserting Text into the Graphics View
    3. Visualizing a System of Linear Equations
    4. Visualizing the Angle Sum in a Triangle
    5. Constructing a Slope triangle
    6. Dynamic Fractions and Attaching Text to Objects
    7. The mod 3 Clock
    8. Challenge of the Day: Visualize a Binomial Formula
  6. Creating and Enhancing Dynamic Worksheets with GeoGebra
    1. Lower and Upper Sum
    2. Creating Dynamic Worksheets
    3. Creating a ‘Tangram’ Puzzle
    4. Challenge of the Day: Enhance Your ‘Tangram’ Puzzle
  7. Custom Tools and Customizing the Toolbar
    1. The Theorem of Pythagoras
    2. Creating Custom Tools
    3. Creating a square tool
    4. The Fibonacci Spiral
    5. Constructing the Center of a Circle
    6. Customizing the Toolbar
    7. Challenge of the Day: Euler’s Discovery
  8. Conditional Visibility & Sequences
    1. Visualizing Integer Addition on the Number Line
    2. Animating Constructions
    3. Conditional Formatting – Inserting Checkboxes
    4. The Sierpinski Triangle
    5. Visualizing Multiplication of Natural Numbers
    6. Challenge of the Day: String Art Based on Bézier Curves
  9. Spreadsheet View and Basic Statistics Concepts
    1. Record to Spreadsheet Feature
    2. Relative Copy and Linear Equations
    3. Investigating Number Patterns
    4. Scatter Plot and Best Fit Line
    5. Challenge of the Day: Explore Basic Statistics Commands
  10. CAS View – Computer Algebra System & CAS Specific Commands
    1. Introduction to GeoGebra’s CAS View
    2. Manipulating Equations
    3. GCD and LCM
    4. Intersecting Polynomial Functions
    5. Solving Exponential Equations
    6. Solving Systems of Equations
    7. Working with Matrices

1.

Introduction & Installation Drawings vs. Geometric Constructions

  • 1. Creating drawings with GeoGebra
  • 2. Drawings, Constructions, and Drag Test
  • 3. Rectangle Construction
  • 4. Equilateral Triangle Construction
  • 5. Challenge of the Day: Isosceles Triangle Construction

1.1.

Creating drawings with GeoGebra

– Jose Alvarado

1.2.

–

1.3.

–

1.4.

–

1.5.

–

2.

Geometric Constructions & Use of Commands

  • 1. Square Construction
  • 2. Regular Hexagon Construction
  • 3. Circumcircle of a Triangle Construction
  • 4. Visualize the Theorem of Thales
  • 5. Constructing Tangents to a Circle
  • 6. Exploring Parameters of a Quadratic Polynomial
  • 7. Using Sliders to Modify Parameters
  • 8. Challenge of the Day: Parameters of Polynomials

2.1.

Square Construction

– Jose Alvarado

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

2.7.

–

2.8.

–

3.

Algebraic Input, Functions & Export of Pictures to the Clipboard

  • 1. Parameters of a Linear Equation
  • 2. Library of Functions – Visualizing Absolute Values
  • 3. Library of Functions – Superposition of Sine Waves
  • 4. Introducing Derivatives – The Slope Function
  • 5. Exploring Polynomials
  • 6. Inserting Pictures into a Text Processing Document

3.1.

Parameters of a Linear Equation

– Jose Alvarado

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

4.

Transformations & Inserting Pictures into the Graphics View

  • 1. Creating a ‘Geometric Figures Memory’ Game
  • 2. Exploring Symmetry with GeoGebra
  • 3. Resizing, Reflecting and Distorting a Picture
  • 4. Exploring Properties of Reflection
  • 5. Translating Pictures
  • 6. Rotating Polygons
  • 7. Challenge of the Day: Tiling with Regular Polygons

4.1.

Creating a ‘Geometric Figures Memory’ Game

– Jose Alvarado

4.2.

–

4.3.

–

4.4.

–

4.5.

–

4.6.

–

4.7.

–

5.

Inserting Static and Dynamic Text into the GeoGebra’s Graphics View

  • 1. Coordinates and reflected points
  • 2. Inserting Text into the Graphics View
  • 3. Visualizing a System of Linear Equations
  • 4. Visualizing the Angle Sum in a Triangle
  • 5. Constructing a Slope triangle
  • 6. Dynamic Fractions and Attaching Text to Objects
  • 7. The mod 3 Clock
  • 8. Challenge of the Day: Visualize a Binomial Formula

5.1.

Coordinates and reflected points

– Jose Alvarado

5.2.

–

5.3.

–

5.4.

–

5.5.

–

5.6.

–

5.7.

–

5.8.

–

6.

Creating and Enhancing Dynamic Worksheets with GeoGebra

  • 1. Lower and Upper Sum
  • 2. Creating Dynamic Worksheets
  • 3. Creating a ‘Tangram’ Puzzle
  • 4. Challenge of the Day: Enhance Your ‘Tangram’ Puzzle

6.1.

Lower and Upper Sum

– Jose Alvarado

6.2.

–

6.3.

–

6.4.

–

7.

Custom Tools and Customizing the Toolbar

  • 1. The Theorem of Pythagoras
  • 2. Creating Custom Tools
  • 3. Creating a square tool
  • 4. The Fibonacci Spiral
  • 5. Constructing the Center of a Circle
  • 6. Customizing the Toolbar
  • 7. Challenge of the Day: Euler’s Discovery

7.1.

The Theorem of Pythagoras

– Jose Alvarado

7.2.

–

7.3.

–

7.4.

–

7.5.

–

7.6.

–

7.7.

–

8.

Conditional Visibility & Sequences

  • 1. Visualizing Integer Addition on the Number Line
  • 2. Animating Constructions
  • 3. Conditional Formatting – Inserting Checkboxes
  • 4. The Sierpinski Triangle
  • 5. Visualizing Multiplication of Natural Numbers
  • 6. Challenge of the Day: String Art Based on Bézier Curves

8.1.

Visualizing Integer Addition on the Number Line

– Jose Alvarado

8.2.

–

8.3.

–

8.4.

–

8.5.

–

8.6.

–

9.

Spreadsheet View and Basic Statistics Concepts

  • 1. Record to Spreadsheet Feature
  • 2. Relative Copy and Linear Equations
  • 3. Investigating Number Patterns
  • 4. Scatter Plot and Best Fit Line
  • 5. Challenge of the Day: Explore Basic Statistics Commands

9.1.

Record to Spreadsheet Feature

– Jose Alvarado

9.2.

–

9.3.

–

9.4.

–

9.5.

–

10.

CAS View – Computer Algebra System & CAS Specific Commands

  • 1. Introduction to GeoGebra’s CAS View
  • 2. Manipulating Equations
  • 3. GCD and LCM
  • 4. Intersecting Polynomial Functions
  • 5. Solving Exponential Equations
  • 6. Solving Systems of Equations
  • 7. Working with Matrices

10.1.

Introduction to GeoGebra’s CAS View

– Jose Alvarado

10.2.

–

10.3.

–

10.4.

–

10.5.

–

10.6.

–

10.7.

–

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