How to (1): Graphics/Algebra views and Graphics Style Bar

GeoGebra Institute of MEI, Jul 23, 2015

Table of Contents

  1. Introduction
    1. Introduction to GeoGebra
  2. Examples
    1. The equations of parallel and perpendicular lines
    2. The graph of the completed square form of a quadratic
    3. The unit circle and the graphs of sin, cos & tan
    4. The unit circle and the graphs of sec, cosec and cot
    5. Derivative of ln(x)
  3. Skills
    1. Graphics view
    2. Algebra view
    3. Graphics Style Bar
  4. Creating teacher-centred files
    1. Video: Creating a dynamic y-y1=m(x-x1)
    2. Construction task 1: a dynamic y=mx+c
    3. Construction task 2: Quadratic equations
  5. Tasks
    1. Tasks

1.

Introduction

  • 1. Introduction to GeoGebra

1.1.

Introduction to GeoGebra

Introduction to GeoGebra
In this lesson you will be introduced to the Graphics and Algebra views of GeoGebra and start using the Graphics Styling bar.[br][br]Some examples of GeoGebra files are displayed in section 2 to give you a sense of what can be achieved.  You should then work through the skills and constructions section before trying the tasks.
– GeoGebra Institute of MEI

2.

Examples

  • 1. The equations of parallel and perpendicular lines
  • 2. The graph of the completed square form of a quadratic
  • 3. The unit circle and the graphs of sin, cos & tan
  • 4. The unit circle and the graphs of sec, cosec and cot
  • 5. Derivative of ln(x)

2.1.

The equations of parallel and perpendicular lines

Vary the original line with the sliders for [i]m[/i] and [i]c[/i]. Drag the point A to move the position of the parallel and perpendicular lines.
– GeoGebra Institute of MEI

2.2.

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2.3.

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2.4.

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2.5.

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3.

Skills

  • 1. Graphics view
  • 2. Algebra view
  • 3. Graphics Style Bar

3.1.

Graphics view

Using the Graphics view
The Graphics view features tools (the square buttons at the top).  These can be used to add geometrical objects to the Graphics view.  To change the tool click on a different button.  Related tools are contained in each button.[br][br]Experiment with this by adding some different geometrical objects to the screen.
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3.2.

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3.3.

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4.

Creating teacher-centred files

In this chapter you should look through the examples and then watch the video on how to construct the dynamic graph. You can then try the construction yourself, either on the webpage or in GeoGebra on your computer.

  • 1. Video: Creating a dynamic y-y1=m(x-x1)
  • 2. Construction task 1: a dynamic y=mx+c
  • 3. Construction task 2: Quadratic equations

4.1.

Video: Creating a dynamic y-y1=m(x-x1)

– GeoGebra Institute of MEI

4.2.

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4.3.

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5.

Tasks

Create GeoGebra files for the following:

  • 1. Tasks

5.1.

Tasks

Create dynamic files that demonstrate:
[list=1][*]The completed square form of the graph of a quadratic.[br][br][/*][*]The equation of a circle: (x– a)²+ (y– b)² =r².[br][br][/*][*]The intersection of a line and a circle or a parabola and a circle.[br][br][/*][*]The solution of linear or quadratic inequality.[br][/*][/list]
– GeoGebra Institute of MEI

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