Having fun with GeoGebra (Linz 2015)

Michael Borcherds, Jun 30, 2015

Table of Contents

  1. Write your name
    1. ?
    2. ?
    3. ?
    4. Can you write your name? - Tim
    5. My Name!
    6. More names
    7. Can you write your name? - Roy
    8. My name
  2. Soddy Circles
    1. Back of envelope calculation
    2. Soddy Circles - 2 methods
  3. Curves of Constant Width
    1. UK 50p & 20p coins
    2. Shapes of Constant Width
  4. A "Random" Selection of Worksheets
    1. Random Triangle
    2. Randomized Rotational Symmetry Questions
    3. Patterns in random numbers
    4. Approximation of Wiener Process with a scaled random walk
    5. RANDOMFRACTIONS
    6. Random Polynomial Self-Check
    7. Quadratic Quiz
    8. Probability Puzzle Simulation
    9. Draw 25 Sort-of-Random triangles with a set base
    10. Randomized linear simultaneous equations
    11. Sorting decimals from least to greatest
    12. Randomised Trapezium / Parallelogram / Triangle / Circle
    13. The Chaos Game
  5. Poncelet's Porism
    1. Poncelet's Porism for 2 circles
    2. Poncelet's Porism for 2 Ellipses (order 3)
    3. Poncelet's Porism for 2 Ellipses (order 6)
    4. Poncelet (Blank)

1.

Write your name

  • 1. ?
  • 2. ?
  • 3. ?
  • 4. Can you write your name? - Tim
  • 5. My Name!
  • 6. More names
  • 7. Can you write your name? - Roy
  • 8. My name

1.1.

?
– Michael Borcherds

1.2.

–

1.3.

–

1.4.

–

1.5.

–

1.6.

–

1.7.

–

1.8.

–

2.

Soddy Circles

  • 1. Back of envelope calculation
  • 2. Soddy Circles - 2 methods

2.1.

Back of envelope calculation

– Michael Borcherds

2.2.

–

3.

Curves of Constant Width

  • 1. UK 50p & 20p coins
  • 2. Shapes of Constant Width

3.1.

UK 50p & 20p coins

– Michael Borcherds

3.2.

–

4.

A "Random" Selection of Worksheets

Let's search on GeoGebraTube for "random" and see what we can find!

  • 1. Random Triangle
  • 2. Randomized Rotational Symmetry Questions
  • 3. Patterns in random numbers
  • 4. Approximation of Wiener Process with a scaled random walk
  • 5. RANDOMFRACTIONS
  • 6. Random Polynomial Self-Check
  • 7. Quadratic Quiz
  • 8. Probability Puzzle Simulation
  • 9. Draw 25 Sort-of-Random triangles with a set base
  • 10. Randomized linear simultaneous equations
  • 11. Sorting decimals from least to greatest
  • 12. Randomised Trapezium / Parallelogram / Triangle / Circle
  • 13. The Chaos Game

4.1.

Random Triangle

This applet generates a random set of side lengths (each in {1,2,...,7}) and constructs a triangle with those side lengths when possible.

Generate a set of random side lengths. For each set a) Do the side lengths lead to a triangle? Why or why not? b) If the sides do define a triangle, is it equilateral, isosceles, or scalene? c) If the sides do define a triangle, is it right, acute, or obtuse?
– Thomas E. Cooper

4.2.

–

4.3.

–

4.4.

–

4.5.

–

4.6.

–

4.7.

–

4.8.

–

4.9.

–

4.10.

–

4.11.

–

4.12.

–

4.13.

–

5.

Poncelet's Porism

  • 1. Poncelet's Porism for 2 circles
  • 2. Poncelet's Porism for 2 Ellipses (order 3)
  • 3. Poncelet's Porism for 2 Ellipses (order 6)
  • 4. Poncelet (Blank)

5.1.

Poncelet's Porism for 2 circles

http://mathworld.wolfram.com/PonceletsPorism.html
– Michael Borcherds, Leopoldo Cano

5.2.

–

5.3.

–

5.4.

–

Information