HKMEC 2015

Arthur Lee, Jun 3, 2015

HKMEC 2015 presentation, Jun 10 Link to the slides: https://dl.dropboxusercontent.com/u/4210789/me/mini/hkmec2015/index.html

Table of Contents

  1. miscellaneous
    1. 9 pin geoboard
    2. twelve around one
    3. a triangle ABC cut into 2
    4. another triangle ABC cut into 2
    5. Ratio
    6. Parthenon
  2. octagons
    1. Octagon in a square 1
    2. Octagon in a square 2
    3. Octagon in a square 3
    4. Octagon in a square 4
    5. Octagon in a square 5
    6. Octagon in a square 6
    7. Octagon in a square 7
    8. Octagon in a square 8
  3. tiling
    1. Cairo Tiling 1
    2. Cairo Tiling 2
  4. textbook
    1. find two congruent triangles
    2. Find 2 similar triangles
    3. exploring tangent-chord angle
    4. circles

1.

miscellaneous

  • 1. 9 pin geoboard
  • 2. twelve around one
  • 3. a triangle ABC cut into 2
  • 4. another triangle ABC cut into 2
  • 5. Ratio
  • 6. Parthenon

1.1.

9 pin geoboard
– Arthur Lee

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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2.

octagons

  • 1. Octagon in a square 1
  • 2. Octagon in a square 2
  • 3. Octagon in a square 3
  • 4. Octagon in a square 4
  • 5. Octagon in a square 5
  • 6. Octagon in a square 6
  • 7. Octagon in a square 7
  • 8. Octagon in a square 8

2.1.

Octagon in a square 1

Is this a regular octagon?
– Arthur Lee

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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2.7.

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2.8.

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3.

tiling

reflective notes: https://www.evernote.com/l/AAN-tPHWlLBL27s_0AF_DV75kq39f-KN-0U and https://www.evernote.com/l/AAMS2imnwHhMnJo8djdx5NPphzGTH1LWV4c This worksheet explains the construction: http://ggbtu.be/mKTGG5WqP

  • 1. Cairo Tiling 1
  • 2. Cairo Tiling 2

3.1.

Cairo Tiling 1

[color=#c51414]Open the task sheet:[/color][br][url=https://www.evernote.com/l/AAO-URTJbMVF5rsObg8eNmgNIEWaahXb5aM]https://www.evernote.com/l/AAO-URTJbMVF5rsObg8eNmgNIEWaahXb5aM[/url]
– Arthur Lee

3.2.

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4.

textbook

  • 1. find two congruent triangles
  • 2. Find 2 similar triangles
  • 3. exploring tangent-chord angle
  • 4. circles

4.1.

find two congruent triangles

Find two congruent triangles in this figure. You can freely rearrange the given equilateral triangles (orange and blue).
find two congruent triangles
– Arthur Lee

4.2.

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4.3.

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4.4.

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