Introduction

John Golden, Feb 16, 2014

Some sketches for beginners to GeoGebra to look at to get started with the program and understand its capabilities.

Table of Contents

  1. Elementary
    1. Percent Game
    2. Square Not Square
    3. Multiplication table - Visualization of maths - playing math
    4. More: Number and Representation Game
    5. Clown!
  2. Middle School
    1. Positioning Fractions on the Number Line
    2. Fraction, Decimal, and Percent
    3. Pythagorean Tiling
    4. Area of Circles
    5. Dilation Properties
  3. Algebra
    1. Dan and the Ball
    2. Standard vs Vertex Forms
    3. Graph the Line
    4. Cubic Forms
    5. Mixture Problems with Ratios (money and percents)
    6. Standard Form
    7. Graph Transformations
  4. Geometry
    1. Euclid's Elements - Book III, Proposition 23
    2. 27. The Euler Line
    3. Flip Flop Reflection
    4. Parallel Lines
  5. Trigonometry
    1. Trigonometry and Sound
    2. Unit Circle for Sine and Cosine
    3. Basic Circle Functions
  6. College
    1. GeoGebra Calculus Applets
    2. Tangent Zoom
    3. Arbelos Chain, Final

1.

Elementary

  • 1. Percent Game
  • 2. Square Not Square
  • 3. Multiplication table - Visualization of maths - playing math
  • 4. More: Number and Representation Game
  • 5. Clown!

1.1.

Percent Game

In this game, you and an opponent take turns rolling a random percent (between 5 and 25).[br]The player with the lower percent takes their percentage first, then the other player.[br](If the percents are a tie, the player with the lower total takes first.)[br]Keep going till someone wins![br][br]You can play this game with dice and paper by rolling 4 dice to find your percentages and following these rules.[br][br]Have fun!
Percent Game
More GeoGebra at [url]mathhombre.blogspot.com[/url].
– John Golden

1.2.

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1.3.

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1.4.

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1.5.

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2.

Middle School

  • 1. Positioning Fractions on the Number Line
  • 2. Fraction, Decimal, and Percent
  • 3. Pythagorean Tiling
  • 4. Area of Circles
  • 5. Dilation Properties

2.1.

Positioning Fractions on the Number Line

– Irina Boyadzhiev

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.

Algebra

  • 1. Dan and the Ball
  • 2. Standard vs Vertex Forms
  • 3. Graph the Line
  • 4. Cubic Forms
  • 5. Mixture Problems with Ratios (money and percents)
  • 6. Standard Form
  • 7. Graph Transformations

3.1.

Dan and the Ball

Image by Dan Meyer, from [url]http://blog.mrmeyer.com/?p=3251[/url][br][br]To many people this picture poses a question.[br][br]Math can answer it!
Dan and the Ball
– John Golden

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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4.

Geometry

  • 1. Euclid's Elements - Book III, Proposition 23
  • 2. 27. The Euler Line
  • 3. Flip Flop Reflection
  • 4. Parallel Lines

4.1.

Euclid's Elements - Book III, Proposition 23

On the same side of one line segment, it is not possible to construct two distinct segments that are similar (see Definition 11) but not congruent.
Euclid's Elements - Book III, Proposition 23
– mtpberg

4.2.

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4.3.

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4.4.

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5.

Trigonometry

  • 1. Trigonometry and Sound
  • 2. Unit Circle for Sine and Cosine
  • 3. Basic Circle Functions

5.1.

Trigonometry and Sound

The instructions associated with this sheet are here: [url]http://www.scribd.com/doc/115260658/2012-11-30-Investigating-Sound-Revised[/url]
Trigonometry and Sound
– samjshah_1

5.2.

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5.3.

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6.

College

  • 1. GeoGebra Calculus Applets
  • 2. Tangent Zoom
  • 3. Arbelos Chain, Final

6.1.

GeoGebra Calculus Applets
– Marc Renault

6.2.

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6.3.

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