GeoGebra Intro Workshop

Kellie Evans, Feb 15, 2023

Table of Contents

  1. Calculator Suite
    1. Try It Yourself
    2. Experiment with Sliders
    3. Experiment with Tools and Table
    4. Experiment with "Trace On"
  2. Pi
    1. Area of Circles
    2. Estimate Pi
    3. Pi Turtles
    4. Estimate the Digits of pi
    5. Approximate pi Newton's way
    6. Pi Data Math 490 S21
  3. Geometry Examples
    1. Geometry Resources
    2. Proof of Pythagorean theorem
    3. Golden Triangle and Similarity
    4. Golden Triangle
    5. Sierpinski art
  4. Statistics Examples
    1. Least Squares Demo
    2. Correlation Exploration
  5. Combinatorics
    1. Pascal's Triangle Exploration
  6. Additional Activities (LINKS)
    1. by Irina Boyadzhiev: Sum of Squares - Dynamic Proof

1.

Calculator Suite

  • 1. Try It Yourself
  • 2. Experiment with Sliders
  • 3. Experiment with Tools and Table
  • 4. Experiment with "Trace On"

1.1.

Try It Yourself

Next to the + below, enter a function. For example, 3x+2.[br][br]Click on the graph and edit its properties. For example, change its color and thickness. What else can you change?[br][br]Experiment with other functions.[br]
In the window below, try some of GeoGebra's built-in commands. For example:[br][br]CompleteSquare(f)[br]Factor(f)[br]Expand(g)[br][br]Then experiment by editing the functions of any of the above.
– GeoGebra Team, Kellie Evans

1.2.

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1.3.

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1.4.

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2.

Pi

  • 1. Area of Circles
  • 2. Estimate Pi
  • 3. Pi Turtles
  • 4. Estimate the Digits of pi
  • 5. Approximate pi Newton's way
  • 6. Pi Data Math 490 S21

2.1.

Area of Circles

What is the area of a circle? Explore with the following applet.
Anthony Or, GeoGebra Institute of Hong Kong.
– Anthony OR 柯志明

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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3.

Geometry Examples

  • 1. Geometry Resources
  • 2. Proof of Pythagorean theorem
  • 3. Golden Triangle and Similarity
  • 4. Golden Triangle
  • 5. Sierpinski art

3.1.

Geometry Resources

[list][*][b][url=https://www.geogebra.org/m/z8nvD94T]Congruence (Volume 1)[/url][/b][/*][*][b][url=https://www.geogebra.org/m/munhXmzx]Congruence (Volume 2)[/url][/b][/*][*][b][url=https://www.geogebra.org/m/dPqv8ACE]Similarity, Right Triangles, Trigonometry[/url][/b][/*][*][b][url=https://www.geogebra.org/m/C7dutQHh]Circles[/url][/b][/*][*][b][url=https://www.geogebra.org/m/K2YbdFk8]Coordinate and Analytic Geometry[/url][/b][/*][*][b][url=https://www.geogebra.org/m/xDNjSjEK]Area, Surface Area, Volume, 3D, Cross Section[/url] [/b][/*][*][b][url=https://www.geogebra.org/m/NjmEPs3t]Proof Challenges[/url]  [/b][/*][/list]
What phenomenon is dynamically being illustrated here? (Vertices are moveable.)
What phenomenon is dynamically being illustrated here? (Vertices are moveable.)
– Tim Brzezinski

3.2.

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3.3.

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3.4.

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3.5.

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4.

Statistics Examples

  • 1. Least Squares Demo
  • 2. Correlation Exploration

4.1.

Least Squares Demo

– Kellie Evans

4.2.

–

5.

Combinatorics

  • 1. Pascal's Triangle Exploration

5.1.

Pascal's Triangle Exploration

Notice and Wonder
[b]Click on the following boxes (one at a time) to discover patterns within Pascal's triangle.[br][/b]Take notes as we will use them for the Discussion page on Canvas.[br][br][b]Be sure to look at the patterns formed by the following:[br][/b]Natural Numbers, Triangle Numbers, Squares, Cubes, Sum of Cubes, Powers of 2, Powers of 11, Fibonacci Numbers, Combinations, Binomial Theorem
– Rose Neal, Celia Jimenez

6.

Additional Activities (LINKS)

  • 1. by Irina Boyadzhiev: Sum of Squares - Dynamic Proof

6.1.

by Irina Boyadzhiev: Sum of Squares - Dynamic Proof

– Kellie Evans

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